Q: A flat plate moves normally with a speed *v*_{1} towards a horizontal jet of water of uniform are of cross-section. The jet discharges water at the rate of volume V per second at a speed of *v*_{2}. To density of water is ρ. Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is

(a) $\rho V v_1$

(b) $\rho V (v_1 + v_2 ) $

(c) $ \frac{\rho V }{v_1 + v_2}v_1^2$

(a) $\frac{\rho V}{v_2} (v_1 + v_2 )^2 $