1
JEE Main 2022 (Online) 27th July Evening Shift
+4
-1 The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside the block. The value of x is :

A
2.0
B
1.0
C
0.5
D
1.5
2
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1 A bullet is shot vertically downwards with an initial velocity of $$100 \mathrm{~m} / \mathrm{s}$$ from a certain height. Within 10 s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time $$\mathrm{t}=20 \mathrm{~s}$$ will be:

(Take g = 10 m/s2).

A B C D 3
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1 Two projectiles are thrown with same initial velocity making an angle of $$45^{\circ}$$ and $$30^{\circ}$$ with the horizontal respectively. The ratio of their respective ranges will be :

A
$$1: \sqrt{2}$$
B
$$\sqrt{2}: 1$$
C
$$2: \sqrt{3}$$
D
$$\sqrt{3}: 2$$
4
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1 Two projectiles thrown at $$30^{\circ}$$ and $$45^{\circ}$$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :

A
$$1: \sqrt{2}$$
B
$$2: 1$$
C
$$\sqrt{2}: 1$$
D
$$1: 2$$
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