The ratio of the time taken by a solid sphere and that taken by a disc of the same mass and radius to roll down a smooth inclined plane from rest from

Question

The ratio of the time taken by a solid sphere and that taken by a disc of the same mass and radius to roll down a smooth inclined plane from rest from

The ratio of the time taken by a solid sphere and that taken by a disc of the same mass and radius to roll down a smooth inclined plane from rest from the same height -
A. `15:14`
B. `sqrt15 : sqrt14`
C. `14:15`
D. `sqrt14 : sqrt15`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`t=sqrt((2s)/("g"sin theta)(1+(K^(2))/R^(2)))`
`t_(1)/r_(2)=sqrt((1+2/5)/(1+1/2))=sqrt(14/15)`

5 views Answered 2023-02-05 15:29