A flat plate moves normally with a speed $${{v}_{1}}$$ towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume V per second at a speed of $${{v}_{2}}$$. The density of water is $$\rho $$. 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 [IIT 1995]

Question

A flat plate moves normally with a speed $${{v}_{1}}$$ towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume V per second at a speed of $${{v}_{2}}$$. The density of water is $$\rho $$. 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    [IIT 1995]

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$\rho V{{v}_{1}}$$

TuteeHUB · Answer

$$\rho V({{v}_{1}}+{{v}_{2}})$$

TuteeHUB · Answer

If assertion is true but reason is false.

TuteeHUB · Answer

$$\rho \left[ \frac{V}{{{v}_{2}}} \right]{{({{v}_{1}}+{{v}_{2}})}^{2}}$$

1.	A flat plate moves normally with a speed \[{{v}_{1}}\] towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume V per second at a speed of \[{{v}_{2}}\]. The density of water is \[\rho \]. 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 [IIT 1995]
A.	\[\rho V{{v}_{1}}\]
B.	\[\rho V({{v}_{1}}+{{v}_{2}})\]
C.	If assertion is true but reason is false.
D.	\[\rho \left[ \frac{V}{{{v}_{2}}} \right]{{({{v}_{1}}+{{v}_{2}})}^{2}}\]
Answer» E.

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