1
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1 Under isothermal condition, the pressure of a gas is given by $$\mathrm{P}=a \mathrm{~V}^{-3}$$, where $$a$$ is a constant and $$\mathrm{V}$$ is the volume of the gas. The bulk modulus at constant temperature is equal to

A
$$\frac{P}{2}$$
B
2 P
C
3 P
D
P
2
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1 Eight equal drops of water are falling through air with a steady speed of $$10 \mathrm{~cm} / \mathrm{s}$$. If the drops coalesce, the new velocity is:-

A
$$40 \mathrm{~cm} / \mathrm{s}$$
B
$$16 \mathrm{~cm} / \mathrm{s}$$
C
$$10 \mathrm{~cm} / \mathrm{s}$$
D
$$5 \mathrm{~cm} / \mathrm{s}$$
3
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1 Young's moduli of the material of wires A and B are in the ratio of $$1: 4$$, while its area of cross sections are in the ratio of $$1: 3$$. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires $$\mathrm{A}$$ and $$\mathrm{B}$$ will be in the ratio of

[Assume length of wires A and B are same]

A
1 : 12
B
1 : 36
C
12 : 1
D
36 : 1
4
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1 Given below are two statements:

Statement I : Pressure in a reservoir of water is same at all points at the same level of water.

Statement II : The pressure applied to enclosed water is transmitted in all directions equally.

In the light of the above statements, choose the correct answer from the options given below:

A
Both Statement I and Statement II are false
B
Statement I is false but Statement II is true
C
Statement I is true but Statement II is false
D
Both Statement I and Statement II are true
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