1
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An artillery piece of mass $$M_1$$ fires a shell of mass $$M_2$$ horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is:

A
$$M_1 /\left(M_1+M_2\right)$$
B
$$\frac{M_2}{M_1}$$
C
$$\frac{M_1}{M_2}$$
D
$$M_2 /\left(M_1+M_2\right)$$
2
JEE Main 2024 (Online) 30th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A spherical body of mass $$100 \mathrm{~g}$$ is dropped from a height of $$10 \mathrm{~m}$$ from the ground. After hitting the ground, the body rebounds to a height of $$5 \mathrm{~m}$$. The impulse of force imparted by the ground to the body is given by : (given, $$\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$$)

A
$$43.2 \mathrm{~kg} \mathrm{~ms}^{-1}$$
B
$$2.39 \mathrm{~kg} \mathrm{~ms}^{-1}$$
C
$$4.32 \mathrm{~kg} \mathrm{~ms}^{-1}$$
D
$$23.9 \mathrm{~kg} \mathrm{~ms}^{-1}$$
3
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Two bodies of mass $$4 \mathrm{~g}$$ and $$25 \mathrm{~g}$$ are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :

A
$$3: 5$$
B
$$5: 4$$
C
$$2: 5$$
D
$$4: 5$$
4
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A body of mass $$1000 \mathrm{~kg}$$ is moving horizontally with a velocity $$6 \mathrm{~m} / \mathrm{s}$$. If $$200 \mathrm{~kg}$$ extra mass is added, the final velocity (in $$\mathrm{m} / \mathrm{s}$$) is:

A
6
B
2
C
3
D
5
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