Question

A block of mass $m_1$ lies on top of fixed wedge as shown in figure-1 and another block of mass $m_2$ lies on top of wedge which is free to move as shown in figure-2. At time t = 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no friction between block and wedge in both the figures. Let $T_1$ and $T_2$ be he time taken by block in figure-1 and block in figure - 2 respectively to just reach the horizontal surface, then:

• A.
• B.
• C.
• D. Data insufficient

Answer 1

The correct option is A

We draw axes for each block along the incline and normal to incline. The component of acceleration for each block are as shown, where a is acceleration of wedge is fig. 2.

It is obvious that vertical component of acceleration is larger for block in fig2.

$\because T_1>T_2$