1
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1 Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity.

Reason R : Coefficient of viscosity = $${{Force} \over {Velocity\,gradient}}$$

Choose the correct answer from the options given below :

A
Both A and R are true, and R is the correct explanation of A.
B
Both A and R are true but R is NOT the correct explanation of A.
C
A is true but R is false.
D
A is false but R is true.
2
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1 A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy will be :

A
2.8 $$\times$$ 10$$-$$4 J
B
1.5 $$\times$$ 10$$-$$3 J
C
1.9 $$\times$$ 10$$-$$4 J
D
9.4 $$\times$$ 10$$-$$5 J
3
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
$$mg\left( {{{{d_2}} \over {{d_1}}} - 1} \right)$$
4
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
$${R_e} = {\eta \over {\rho vd}}$$
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