NTSE Stage 2 SAT 2017 Question Paper

Question : 31 of 100

Marks: +1, -0

A horizontal jet of water is made to hit a vertical wall with a negligible rebound. If the speed of water from the jet is ‘v', the diameter of the jet is ‘d' and the density of water is ‘ρ', then the force exerted on the wall by the jet of water is-

$\π/4\d^2\ρv$
$\π/4\d^2\ρv^2$
$\π/8\d^2\ρv^2$
$\π/2\d^2\ρv^2$

Validate

Solution:

\F={\p_2-\p_1}/\t

\p_2=\m v=0

(as v=0)

\p_1=\mu,\u=\v

\m = \volume ×\density

\;\;\;={\π\d^2}/4×\v×\t×\ρ

\;\;\;={\π/4}\d^2\vt\ρ

\F={\mu}/\t

\;\;=\π/4×{\d^2\vt\ρ}/\t

\;\;=\π/4\d^2\vt\ρ

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