1
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Potential energy as a function of r is given by $$U = {A \over {{r^{10}}}} - {B \over {{r^5}}}$$, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :

A
$${\left( {{A \over B}} \right)^{{1 \over 5}}}$$
B
$${\left( {{B \over A}} \right)^{{1 \over 5}}}$$
C
$${\left( {{2A \over B}} \right)^{{1 \over 5}}}$$
D
$${\left( {{B \over 2A}} \right)^{{1 \over 5}}}$$
2
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 ms$$-$$2].

A
1 : 1
B
$$\sqrt 2 $$ : $$\sqrt 3 $$
C
$$\sqrt 3 $$ : $$\sqrt 2 $$
D
2 : 3
3
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be :

A
7.5 rad
B
15 rad
C
20 rad
D
30 rad
4
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms$$-$$1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?

[Specific heat capacity of iron = 0.42 Jg$$-$$1 $$^\circ$$C$$-$$1]

A
675$$^\circ$$C
B
1600$$^\circ$$C
C
16.07$$^\circ$$C
D
6.75$$^\circ$$C
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