1
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

An air bubble of negligible weight having radius r rises steadily through a solution of density $$\sigma$$ at speed v. The coefficient of viscosity of the solution is given by :

A
$$\eta = {{4r\sigma g} \over {9v}}$$
B
$$\eta = {{2{r^2}\sigma g} \over {9v}}$$
C
$$\eta = {{2\pi {r^2}\sigma g} \over {9v}}$$
D
$$\eta = {{2{r^2}\sigma g} \over {3\pi v}}$$
2
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspended respectively from its free end. Then the value of L is equal to :

A
$$\sqrt {{L_1}{L_2}}$$
B
$${{{L_1} + {L_2}} \over 2}$$
C
$$2{L_1} - {L_2}$$
D
$$3{L_1} - 2{L_2}$$
3
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs$$-$$1 and at a speed of 10 ms$$-$$1. Then, the initial acceleration of the block, in ms$$-$$2, will be :

A
3
B
6
C
5
D
4
4
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

A water drop of radius 1 $$\mu$$m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8 $$\times$$ 10$$-$$5 Nsm$$-$$2 and its density is negligible as compared to that of water 106 gm$$-$$3. Terminal velocity of the water drop is :

(Take acceleration due to gravity = 10 ms$$-$$2)

A
145.4 $$\times$$ 10$$-$$6 ms$$-$$1
B
118.0 $$\times$$ 10$$-$$6 ms$$-$$1
C
132.6 $$\times$$ 10$$-$$6 ms$$-$$1
D
123.4 $$\times$$ 10$$-$$6 ms$$-$$1
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