1
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

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 :

A
$$mg\left( {1 - {{{d_1}} \over {{d_2}}}} \right)$$
B
$$mg\left( {1 - {{{d_2}} \over {{d_1}}}} \right)$$
C
$$mg\left( {{{{d_1}} \over {{d_2}}} - 1} \right)$$
D
$$mg\left( {{{{d_2}} \over {{d_1}}} - 1} \right)$$
2
JEE Main 2022 (Online) 26th June Evening Shift
+4
-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 Re is :

A
$${R_e} = {{\eta d} \over {\rho v}}$$
B
$${R_e} = {{\rho v} \over {\eta d}}$$
C
$${R_e} = {{\rho vd} \over \eta }$$
D
$${R_e} = {\eta \over {\rho vd}}$$
3
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

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

A
r1/2
B
r
C
r2
D
r3
4
JEE Main 2022 (Online) 24th June Evening Shift
+4
-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 :

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