Fluid Mechanics | Surface Tension And Viscosity | JEE Main previous year questions with Solutions

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Topic Question Set

Q 1 :
Mercury is filled in a tube of radius 2 cm up to a height of 30 cm. The force exerted by mercury on the bottom of the tube is ________ N.

$(G i v e n, a t m o s p h e r i c p r e s s u r e = 10^{5}$ $N m^{- 2}, d e n s i t y o f m e r c u r y 1.36 \times 10^{4} k g$ $m^{- 3}, g = 10$ $m s^{- 2}, π = \frac{22}{7})$ [2024]

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(177) $P = P_{0} + ρ g h$

$F = P_{0} A + ρ g h A = \frac{22}{7} \times 4 \times 10^{- 4} (10^{5} + 1.36 \times 10^{4} \times 10 \times \frac{30}{100})$

$\Rightarrow F = \frac{88}{7} \times 10^{- 4} (10^{5} + 0.408 \times 10^{5})$

$= \frac{88}{7} \times 10 \times 1.408 = 177$

Q 2 :
A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 N is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is _________ N. [2024]

[IMAGE 92]

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(1000)

$\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}$

$\frac{F_{1}}{π {(7)}^{2}} = \frac{10}{π {(0.7)}^{2}} \Rightarrow F_{1} = 1000 N$

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