Similitude Dimensional Analysis Reynold Number L14

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=EXL4k07gCoc

This video lecture is about the similitude and dimensional analysis for fluid mechanics students. This is created by Dr. Vineet Kumar Verma, Department of Mathematics, University of Lucknow during the Lock-down period due to COVID-19 virus pandemic for students. a small video used in this lecture is a collection of small clips taken from various you tube channel. Dr. Vineet Verma is thankful to those youtube channels. The lecture is for academic purpose.","styleRuns":[{"startIndex":0,"length":460,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":460,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLcBELsvGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0VYTDRrMDdnQ29jGAYyJSIRIgtFWEw0azA3Z0NvYzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLcBELsvGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLYBELovIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"yWUTh3lvoUE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/yWUTh3lvoUE/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGHIgVihAMA8= rs=AOn4CLDhTZ1OHOYWxZUIun3dwrP_lu3SBw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/yWUTh3lvoUE/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhyIFYoQDAP rs=AOn4CLCRses27rqrqiMWa6lriZZqfFXIMg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Irratiinal numbers#pi#maths#number system by Anil Sir 92 views 5 days ago 6 minutes, 41 seconds"}},"simpleText":"Irratiinal numbers#pi#maths#number system"},"longBylineText":{"runs":[{"text":"Anil Sir","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AnilSharma-hw7ic","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoahC9g7n2rjJPuKyUmhSUw","canonicalBaseUrl":"/@AnilSharma-hw7ic"}}}]},"publishedTimeText":{"simpleText":"5 days ago"},"viewCountText":{"simpleText":"92 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minutes, 41 seconds"}},"simpleText":"6:41"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWRIh5WA97SSvrkRmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=yWUTh3lvoUE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"yWUTh3lvoUE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c9651387796fa141 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=843750 mt=1740940867 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Anil Sir","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AnilSharma-hw7ic","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoahC9g7n2rjJPuKyUmhSUw","canonicalBaseUrl":"/@AnilSharma-hw7ic"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6Hxk="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/Dv5G-gCQVjpMi4a_qtVLCdsbx0XlxVeqH1DYopvFu1fIHTLMqkdBx95YoDxn6j9NsagZlCCN=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6HxlAwcK-y_fwxLLJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"92 views"}},"simpleText":"92 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"yWUTh3lvoUE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yWUTh3lvoUE"],"params":"CAQ%3D"}},"videoIds":["yWUTh3lvoUE"]}},{"clickTrackingParams":"CLQBEP6YBBgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgIIhMI6aiY0ofsiwMVYlN6BR33-h8Z","offlineVideoEndpoint":{"videoId":"yWUTh3lvoUE","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgIIhMI6aiY0ofsiwMVYlN6BR33-h8Z","getDownloadActionCommand":{"videoId":"yWUTh3lvoUE","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgIIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6Hxk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt5V1VUaDNsdm9VRQ%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6Hxk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMI6aiY0ofsiwMVYlN6BR33-h8Z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6Hxk=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAAiEwjpqJjSh-yLAxViU3oFHff6Hxk=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minutes, 41 seconds"}},"simpleText":"6:41"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"yWUTh3lvoUE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"yWUTh3lvoUE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgDIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgDIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"yWUTh3lvoUE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgDIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yWUTh3lvoUE"],"params":"CAQ%3D"}},"videoIds":["yWUTh3lvoUE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgDIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Irratiinal numbers#pi#maths#number system - 6 minutes, 41 seconds - Go to channel - Anil Sir - 92 views - 5 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/yWUTh3lvoUE/mqdefault_6s.webp?du=3000 sqp=CL3Gkr4G rs=AOn4CLCkNkYqspqwZBKscY8FWY0qMfIGfA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"AvPB8EhSC84","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/AvPB8EhSC84/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDNYFx4BVcEcvQSyUjNT52pKFGHJg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/AvPB8EhSC84/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBG-y0bUQHOl27fKxI2gzK-8HRAgw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"class 11th math chapter 14 miscellaneous question no. 6 by Kewal sir math classes 7 views 7 days ago 11 minutes, 58 seconds"}},"simpleText":"class 11th math chapter 14 miscellaneous question no. 6"},"longBylineText":{"runs":[{"text":"Kewal sir math classes","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@kewalsirclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCL1kYLrBjfvVDJVKJ7IJ0sA","canonicalBaseUrl":"/@kewalsirclass"}}}]},"publishedTimeText":{"simpleText":"7 days ago"},"viewCountText":{"simpleText":"7 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 58 seconds"}},"simpleText":"11:58"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWRIh5WA97SSvrkRmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=AvPB8EhSC84","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"AvPB8EhSC84","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=02f3c1f048520bce ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=561250 mt=1740940867 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Kewal sir math classes","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@kewalsirclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCL1kYLrBjfvVDJVKJ7IJ0sA","canonicalBaseUrl":"/@kewalsirclass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/XKjJB7ZrWls9z2aOc-Zize1gjUrehQn-0PuUcBkPTOPmuLIpbbD7rbe2C2JBh6Mvnr3Bea0YSdM=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6HxlAzpfIwoS-8PkC","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"7 views"}},"simpleText":"7 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AvPB8EhSC84","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AvPB8EhSC84"],"params":"CAQ%3D"}},"videoIds":["AvPB8EhSC84"]}},{"clickTrackingParams":"CK0BEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","offlineVideoEndpoint":{"videoId":"AvPB8EhSC84","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","getDownloadActionCommand":{"videoId":"AvPB8EhSC84","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6Hxk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtBdlBCOEVoU0M4NA%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6Hxk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMI6aiY0ofsiwMVYlN6BR33-h8Z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6Hxk=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAEiEwjpqJjSh-yLAxViU3oFHff6Hxk=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 58 seconds"}},"simpleText":"11:58"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"AvPB8EhSC84","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"AvPB8EhSC84"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AvPB8EhSC84","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AvPB8EhSC84"],"params":"CAQ%3D"}},"videoIds":["AvPB8EhSC84"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"class 11th math chapter 14 miscellaneous question no. 6 - 11 minutes, 58 seconds - Go to channel - Kewal sir math classes - 7 views - 7 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/AvPB8EhSC84/mqdefault_6s.webp?du=3000 sqp=CJywkr4G rs=AOn4CLAuQEcRAKyVOdCcV3j-LnuKFvvNMQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"j66bLqBpBR8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/j66bLqBpBR8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDH4-bIKmLf4AEw5ZELIYuf3q-aZQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/j66bLqBpBR8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCCf5gQBSOI2tqkuK-eXUb7VSDOqQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"ICSE Class 10 | M.L. Aggarwal Mensuration | Exercise 17.1 Q21 | Solution by Vivek Sir by Vivek Sir Classes 24 views 2 weeks ago 4 minutes, 52 seconds"}},"simpleText":"ICSE Class 10 | M.L. Aggarwal Mensuration | Exercise 17.1 Q21 | Solution by Vivek Sir"},"longBylineText":{"runs":[{"text":"Vivek Sir Classes","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@vivekkumarsatyarthi1681","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEvCd2xIYok3x0VrCaNoPxQ","canonicalBaseUrl":"/@vivekkumarsatyarthi1681"}}}]},"publishedTimeText":{"simpleText":"2 weeks ago"},"viewCountText":{"simpleText":"24 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 52 seconds"}},"simpleText":"4:52"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWRIh5WA97SSvrkRmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=j66bLqBpBR8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"j66bLqBpBR8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=8fae9b2ea069051f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=961250 mt=1740940867 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Vivek Sir Classes","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6HxkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@vivekkumarsatyarthi1681","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEvCd2xIYok3x0VrCaNoPxQ","canonicalBaseUrl":"/@vivekkumarsatyarthi1681"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/V0f5vieBkGiXUu-ZTx7cojGICZ0OfCQ7KCPl-kr8DFxVozjj4-u-oUjzZmGtrDZll3M3bw8sig=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6HxlAn4qkg-rlptePAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"24 views"}},"simpleText":"24 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"j66bLqBpBR8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["j66bLqBpBR8"],"params":"CAQ%3D"}},"videoIds":["j66bLqBpBR8"]}},{"clickTrackingParams":"CKYBEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgGIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","offlineVideoEndpoint":{"videoId":"j66bLqBpBR8","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z","getDownloadActionCommand":{"videoId":"j66bLqBpBR8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgHIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqNjZiTHFCcEJSOA%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMI6aiY0ofsiwMVYlN6BR33-h8Z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAIiEwjpqJjSh-yLAxViU3oFHff6Hxk=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 52 seconds"}},"simpleText":"4:52"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"j66bLqBpBR8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"j66bLqBpBR8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgBIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"j66bLqBpBR8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["j66bLqBpBR8"],"params":"CAQ%3D"}},"videoIds":["j66bLqBpBR8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgCIhMI6aiY0ofsiwMVYlN6BR33-h8Z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"ICSE Class 10 | M.L. Aggarwal Mensuration | Exercise 17.1 Q21 | Solution by Vivek Sir - 4 minutes, 52 seconds - Go to channel - Vivek Sir Classes - 24 views - 2 weeks ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/j66bLqBpBR8/mqdefault_6s.webp?du=3000 sqp=CPGtkr4G rs=AOn4CLBKcItxDBG_y8H1R0ol-FbQ8ZNhOA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/wC1QkfbOSNc/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBt7SpGOLcggTE-EfNXQ2iGBC4mvQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/wC1QkfbOSNc/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAsO9WloQVMdeCWUVAnJjxkFXPnHA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"10 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":400678,"darkTheme":400678}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":935257,"darkTheme":935257}}},"stackColor":{"lightTheme":7048601,"darkTheme":7769235}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"CBSE Maths 8th Grade"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Scientist

#############################

New on site