1
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10$$^\circ$$C, calculate the increase in volume of the cube. (Given $$\alpha$$ = 5.0 $$\times$$ 10$$-$$4 $$^\circ$$C$$-$$1).

A
2.4 $$\times$$ 106 cm3
B
1.2 $$\times$$ 105 cm3
C
6.0 $$\times$$ 104 cm3
D
4.8 $$\times$$ 105 cm3
2
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

A
r1/2
B
r
C
r2
D
r3
3
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

The bulk modulus of a liquid is 3 $$\times$$ 1010 Nm$$-$$2. The pressure required to reduce the volume of liquid by 2% is :

A
3 $$\times$$ 108 Nm$$-$$2
B
9 $$\times$$ 108 Nm$$-$$2
C
6 $$\times$$ 108 Nm$$-$$2
D
12 $$\times$$ 108 Nm$$-$$2
4
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $$\times$$ 103 kg. The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform local distribution, calculate the compression strain of each column. [Use Y = 2.0 $$\times$$ 1011 Pa, g = 9.8 m/s2]
A
3.60 $$\times$$ 10$$-$$8
B
2.60 $$\times$$ 10$$-$$7
C
1.87 $$\times$$ 10$$-$$3
D
7.07 $$\times$$ 10$$-$$4
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