1
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
2
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
3
JEE Main 2023 (Online) 8th April Evening Shift
+4
-1 A hydraulic automobile lift is designed to lift vehicles of mass $$5000 \mathrm{~kg}$$. The area of cross section of the cylinder carrying the load is $$250 \mathrm{~cm}^{2}$$. The maximum pressure the smaller piston would have to bear is $$\left[\right.$$ Assume $$\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right]$$

A
$$20 \times 10^{+6} \mathrm{~Pa}$$
B
$$200 \times 10^{+6} \mathrm{~Pa}$$
C
$$2 \times 10^{+5} \mathrm{~Pa}$$
D
$$2 \times 10^{+6} \mathrm{~Pa}$$
4
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1 An air bubble of volume $$1 \mathrm{~cm}^{3}$$ rises from the bottom of a lake $$40 \mathrm{~m}$$ deep to the surface at a temperature of $$12^{\circ} \mathrm{C}$$. The atmospheric pressure is $$1 \times 10^{5} \mathrm{~Pa}$$ the density of water is $$1000 \mathrm{~kg} / \mathrm{m}^{3}$$ and $$\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$$. There is no difference of the temperature of water at the depth of $$40 \mathrm{~m}$$ and on the surface. The volume of air bubble when it reaches the surface will be:

A
$$4 \mathrm{~cm}^{3}$$
B
$$3 \mathrm{~cm}^{3}$$
C
$$2 \mathrm{~cm}^{3}$$
D
$$5 \mathrm{~cm}^{3}$$
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