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Q.

A sphere of brass released in a long liquid column attains a terminal speed v0. If the terminal speed is attained by a sphere of marble of the same radius and releasedin the same liquid is nv0, then the value of n will be(Given: The specific gravities of brass, marble and liquid are 8.5 , 2.5 and 0.8 respectively)

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a

517

b

1777

c

1131

d

175

answer is B.

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Detailed Solution

For the same radius, terminal velocity is proportional to the density difference.So, ⇒vo∝(8.5-0.8) and ⇒nvo∝(2.5-0.8) Dividing we get, ⇒1n=7.71.7 ⇒n=1777
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A sphere of brass released in a long liquid column attains a terminal speed v0. If the terminal speed is attained by a sphere of marble of the same radius and releasedin the same liquid is nv0, then the value of n will be(Given: The specific gravities of brass, marble and liquid are 8.5 , 2.5 and 0.8 respectively)