1
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1 The figure represents the momentum time ($$\mathrm{p}-\mathrm{t}$$) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively?

If $$\left(t_{3}-t_{2}\right) < t_{1}$$ A
b and c
B
c and a
C
a and b
D
c and b
2
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1 A ball of mass $$200 \mathrm{~g}$$ rests on a vertical post of height $$20 \mathrm{~m}$$. A bullet of mass $$10 \mathrm{~g}$$, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $$30 \mathrm{~m}$$ and the bullet at a distance of $$120 \mathrm{~m}$$ from the foot of the post. The value of initial velocity of the bullet will be (if $$g=10 \mathrm{~m} / \mathrm{s}^{2}$$) :

A
120 m/s
B
360 m/s
C
400 m/s
D
60 m/s
3
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1 If momentum of a body is increased by 20%, then its kinetic energy increases by

A
36%
B
40%
C
44%
D
48%
4
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1 Two bodies of mass $$1 \mathrm{~kg}$$ and $$3 \mathrm{~kg}$$ have position vectors $$\hat{i}+2 \hat{j}+\hat{k}$$ and $$-3 \hat{i}-2 \hat{j}+\hat{k}$$ respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :

A
$$\hat{i}+2 \hat{j}+\hat{k}$$
B
$$-3 \hat{i}-2 \hat{j}+\hat{k}$$
C
$$-2 \hat{i}+2 \hat{k}$$
D
$$2 \hat{i}-\hat{j}+2 \hat{k}$$
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