A small ball of mass 'm' radius r is released from rest in a viscous liquid of coefficient of viscosity \eta and density half of that of ball. Choose the correct option(s)

Correct Answer is : After time t=mℓn26πηr the velocity of ball will be half of the terminal velocity

The ball will never attain constant velocity

After time t=\frac{m ℓ n 2}{6 \pi \eta r} the velocity of ball will be half of the terminal velocity

The instantaneous velocity of ball at a time t is given by v=v_{T}(1-e^{\frac{6 \pi r r}{m} t})

The velocity of ball will remain constant

JEE Advanced 2020 Full Test 6 Paper 1

Question : 6 of 54

Marks: +1, -0

A small ball of mass 'm' radius r is released from rest in a viscous liquid of coefficient of viscosity η and density half of that of ball. Choose the correct option(s)

The ball will never attain constant velocity
After time t=‌
mℓn2
6πηr
the velocity of ball will be half of the terminal velocity
The instantaneous velocity of ball at a time t is given by v=vT(1−e‌
6πrr
m
t)
The velocity of ball will remain constant

Validate

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