JEE Main 2022 (Online) 27th June Morning Shift | Properties of Matter Question 156 | Physics

The velocity of a small ball of mass 'm' and density d₁, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d₂, then the viscous force acting on the ball, will be :

$$mg\left( {1 - {{{d_1}} \over {{d_2}}}} \right)$$

$$mg\left( {1 - {{{d_2}} \over {{d_1}}}} \right)$$

$$mg\left( {{{{d_1}} \over {{d_2}}} - 1} \right)$$

$$mg\left( {{{{d_2}} \over {{d_1}}} - 1} \right)$$

JEE Main 2022 (Online) 26th June Evening Shift

MCQ (Single Correct Answer)

-1

If p is the density and $$\eta$$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number R_e is :

$${R_e} = {{\eta d} \over {\rho v}}$$

$${R_e} = {{\rho v} \over {\eta d}}$$

$${R_e} = {{\rho vd} \over \eta }$$

$${R_e} = {\eta \over {\rho vd}}$$

JEE Main 2022 (Online) 25th June Morning Shift

MCQ (Single Correct Answer)

-1

The terminal velocity (v_t) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

r^1/2

r²

r³

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

-1

Potential energy as a function of r is given by $$U = {A \over {{r^{10}}}} - {B \over {{r^5}}}$$, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :

$${\left( {{A \over B}} \right)^{{1 \over 5}}}$$

$${\left( {{B \over A}} \right)^{{1 \over 5}}}$$

$${\left( {{2A \over B}} \right)^{{1 \over 5}}}$$

$${\left( {{B \over 2A}} \right)^{{1 \over 5}}}$$

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