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 statement 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)`
