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Q.

The terminal speed attained by an aluminium sphere of radius 1 mm falling through water at 200C will be close to(Assume laminar flow, specific gravity of Al = 2.7 and ηwater = 8 X 10-4 PI)

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a

9.2 ms-1

b

6.9 ms-1

c

4.6 ms-1

d

2.3 ms-1

answer is C.

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Detailed Solution

Specific gravity of Al = 2.7Density of Al = 2.7 X 103 kg m-3Terminal velocity, v=2r2(ρ−σ)g9ηv=2×1×10−322.7×103−1000×9.89×8×10−4⇒ v=4.6ms−1

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The terminal speed attained by an aluminium sphere of radius 1 mm falling through water at 200C will be close to(Assume laminar flow, specific gravity of Al = 2.7 and ηwater = 8 X 10-4 PI)