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Mechanical Properties of question bank (Physics)

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Q1.

The cylindrical tube of a spray pump has radius 'R', one end of which has 'n' fine holes, each of radius 'r'. If the speed of the liquid in the tube is 'V' and speed of ejection of the liquid through the holes is '$V_1$' and $r = x R$, then value of $x$ is

(A)

$\sqrt{\dfrac{nV_1}{V}}$

(B)

$\sqrt{\dfrac{V}{nV_1}}$

(C)

$n\sqrt{\dfrac{V}{V_1}}$

(D)

$\dfrac{1}{n}\sqrt{\dfrac{V}{V_1}}$

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Q2.

In a capillary tube having the cross-sectional area 'A', the water rises to a height $'h_1'$. If the cross-sectional area is reduced by 'A/25', the rise of water in capillary is $'h_2'$. If $h_2 = x\,h_1$, the value of $x$ is

(A)

$\dfrac{2\sqrt{6}}{5}$

(B)

$\dfrac{5}{2\sqrt{6}}$

(C)

$\dfrac{\sqrt{6}}{5}$

(D)

$\dfrac{5}{\sqrt{6}}$

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