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Q.

A particle slides from rest from a top of vertical circle of radius ‘r’ along a smooth chord making an angle 'β' with vertical. Then the time of descent is

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a

Least for β=0o

b

Maximum for β=45o

c

Least for β=45o

d

Independent of β

answer is D.

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Detailed Solution

Along chord AC U=0,a=gcos⁡β AC=ABcosβ=2rcosβ From S=Ut+12at2 2rcosβ=0+12gcosβt2 ⇒t=2rg t is independent of β
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