Question

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

Answer 1

Answer: (C)

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

Answer 2

In figure, $AB$ and $AC$ are two smooth planes inclined to the horizontal at $??theta_1$ and $??theta_2$ respectively.