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Two inclined frictionless tracks, one gr...

Two inclined frictionless tracks, one gradual and the other steep meet at A from where two stones are allowed to slide down from rest, one on each track as shown in figure. Which of the following statements is correct?

A

Both the stones reach the bottom at the same time but not with the same speed.

B

Both the stones reach the bottom with the same speed and stone I reaches the bottom earlier than stone II.

C

Both the stones reach the bottom with the same speed and stone II reaches the bottom earlier than stone I.

D

Both the stones reach the bottom at different times and with different speeds.

Text Solution

Verified by Experts

The correct Answer is:
C
`(h)/(sin theta)=(1)/(2) g sin thetat^(2)`
`rArr t=(sqrt((2h)/(g)))(1)/(sin theta)`
`because theta_(2)gttheta_(1) therefore t_(2)ltt_(1)`
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