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Which of the following is the incorrect graph for a sphere fal

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Which of the following is the incorrect graph for a sphere falling in a viscous liquid? (Given at $t = 0$ , velocity $v = 0$ and displacement $x = 0$ )

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Which of the following is the incorrect graph for a sphere falling in a viscous liquid? (Given at

t = 0

, velocity

v = 0

and displacement

x = 0

)

14 mins ago

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14 mins ago

Text solutionVerified

A sphere falling in a viscous liquid increases its speed with time and finally achieves a terminal velocity at infinite time.

Velocity varies with time as shown.

Net acceleration of the sphere is (

m g -

Buoyant force-Viscous Force) downwards

a = d \frac{4}{3} π R^{3} g - ρ \frac{4}{3} π R^{3} g - 6 π η R v

Hence a varies linearly with velocity. Hence option C is the correct answer.

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Question Text	Which of the following is the incorrect graph for a sphere falling in a viscous liquid? (Given at $t = 0$ , velocity $v = 0$ and displacement $x = 0$ )
Answer Type	Text solution:1
Upvotes	150