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Q.

The track of motorcycle-race is circular and unbanked. There are two bikers on the road, one travels along a path of greater radius than the other. They both lean towards the centre at the same angle. Which one completes the circular path in less time?

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a

biker having path of smaller radius.

b

biker having path of larger radius.

c

will complete circle in same time.

d

both can not lean at same angle if radius is different.

answer is A.

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tan⁡θ=v2Rg⇒ v=Rg⁡tan⁡θ⇒ v∝RT=2πRv⇒ T∝R
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