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Q.

A block slides over 3 rough inclined plane having equal coefficient of friction and equal height but different slopes. The increase in kinetic energy will be greatest for:

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a

slope-1

b

slope-2

c

slope-3

d

equal for all

answer is C.

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Detailed Solution

Loss in Ug is same in all the given region.Work against friction =μmgcos⁡θhcosec⁡θ                                  =μmghcot⁡θ Gain in KE=mgh−μmghcot⁡θcot⁡θ is minimum for θ3.
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A block slides over 3 rough inclined plane having equal coefficient of friction and equal height but different slopes. The increase in kinetic energy will be greatest for: