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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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A spherical ball of radius 3.0×10−4 m3.0 \times 10^{-4} \mathrm{~m} and density 104 kg/m310^4 \mathrm{~kg} / \mathrm{m}^3 falls freely under gravity through a distance ' hh ' before entering a tank of water. If after entering the water the velocity of the ball does not change, hh is (Viscosity of water is 10−5Nsm2,g=10 m/s210^{-5} \frac{\mathrm{Ns}}{\mathrm{m}^2},\quad g=10 \mathrm{~m} / \mathrm{s}^2)
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Correct option: B
1620 m1620 \mathrm{~m}
Option B (1620 m1620 \mathrm{~m}) is correct because it is derived by equating the terminal velocity in water with the velocity gained during free fall and solving for h.

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