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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Application +4 | -1
Two narrow bores of diameter 3.0 mm3.0 \mathrm{~mm} and 6.0 mm6.0 \mathrm{~mm} are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is 7.3×10−2 N/m7.3 \times 10^{-2} \mathrm{~N} / \mathrm{m}. Take the angle of contact to be zero and density of water to be 1.0×103 kg/m31.0 \times 10^3 \mathrm{~kg} / \mathrm{m}^3. (take, g=9.8 m/s2g=9.8 \mathrm{~m} / \mathrm{s}^2).
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Correct option: C
5 mm5 \mathrm{~mm}
Option D (5 mm5 \mathrm{~mm}) is correct because the difference in water levels is calculated using the formula involving surface tension, radii of the bores, density of water, and gravity.

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