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Q.

The ratio of the accelerations for a solid sphere (mass ‘m’ and radius 'R') rolling down an incline plane of angle 'θ' without slipping and slipping down the incline without rolling is :

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a

5:7

b

2:3

c

2:5

d

7:5

answer is A.

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Detailed Solution

For rolling motion without slipping on inclined planea1=gsin⁡θ1+K2R2and for slipping motion on inclined plane a2=gsin⁡θRequired ratio = a1a2=11+K2R2=11+25=57
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