1
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1 Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$

Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is observed.

Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

In the light of the above statements, choose the most appropriate answer from the options given below

A
Both A and R are correct but R is NOT the correct explanation of A
B
A is not correct but R is correct
C
A is correct but R is not correct
D
Both A and B are correct and R is the correct explanation of A
2
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1 A small ball of mass $$\mathrm{M}$$ and density $$\rho$$ is dropped in a viscous liquid of density $$\rho_{0}$$. After some time, the ball falls with a constant velocity. What is the viscous force on the ball ?

A
$$\mathrm{F}=\mathrm{Mg}\left(1-\frac{\rho_{\mathrm{O}}}{\rho}\right)$$
B
$$\mathrm{F}=\mathrm{Mg}\left(1+\frac{\rho}{P_{o}}\right)$$
C
$$\mathrm{F}=\mathrm{Mg}\left(1+\frac{\rho_{\mathrm{o}}}{\rho}\right)$$
D
$$F=M g\left(1 \pm \rho \rho_{0}\right)$$
3
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1 The Young's modulus of a steel wire of length $$6 \mathrm{~m}$$ and cross-sectional area $$3 \mathrm{~mm}^{2}$$, is $$2 \times 10^{11}~\mathrm{N} / \mathrm{m}^{2}$$. The wire is suspended from its support on a given planet. A block of mass $$4 \mathrm{~kg}$$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $$\frac{1}{4}$$ of its value on the earth. The elongation of wire is (Take $$g$$ on the earth $$=10 \mathrm{~m} / \mathrm{s}^{2}$$) :

A
0.1 cm
B
1 cm
C
0.1 mm
D
1 mm
4
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 The average kinetic energy of a molecule of the gas is

A
proportional to volume
B
dependent on the nature of the gas
C
proportional to absolute temperature
D
proportional to pressure
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