Nlm

Ans 1

@SiddharthaGhosh
Let the relative velocity of the particle with respect to hemisphere be Vr and v be the linear velocity. By conservation of linear momentum we get5mv = m(Vr cosθ – v)
5mv = mVr cosθ – mv
5mv + mv = mVrcosθ
6mv = mVrcosθ
6v = Vr cosθ
Vr = 6v / cosθ