A block of mass $m$ slides down on a wedge of mass $M$ as shown in figure. Let $\vec a_1$ be the acceleration of the wedge and $\vec a_2$ the acceleration of block w.r.t. ground. $N_1$ is the normal reaction between block and wedge and $N_2$ the normal reaction between wedge and ground. Friction is absent everywhere. Select the incorrect alternative
A block of mass $m$ slides down on a wedge of mass $M$ as shown in figure. Let $\vec a_1$ be the acceleration of the wedge and $\vec a_2$ the acceleration of block w.r.t. ground. $N_1$ is the normal reaction between block and wedge and $N_2$ the normal reaction between wedge and ground. Friction is absent everywhere. Select the incorrect alternative
- A
$N_2< (M + m)g$
- B
$N_1 = m ( g\, cos \theta\, -\, |\vec a_1| sin \theta ) $
- C
$N_1\ sin \theta = M| \vec a_1|$
- D
$m\ \vec a_2=\,-M\, \vec a_1$
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- [AIPMT 1998]
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