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

In the given arrangement of a doubly inclined plane two blocks of masses $$M$$ and $$m$$ are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25. The value of $$m$$, for which $$M=10 \mathrm{~kg}$$ will move down with an acceleration of $$2 \mathrm{~m} / \mathrm{s}^2$$, is: (take $$\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$$ and $$\left.\tan 37^{\circ}=3 / 4\right)$$

JEE Main 2024 (Online) 31st January Morning Shift Physics - Laws of Motion Question 19 English

A
4.5 kg
B
6.5 kg
C
9 kg
D
2.25 kg
2
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The relation between time '$$t$$' and distance '$$x$$' is $$t=\alpha x^2+\beta x$$, where $$\alpha$$ and $$\beta$$ are constants. The relation between acceleration $$(a)$$ and velocity $$(v)$$ is :

A
$$a=-5 \alpha v^5$$
B
$$a=-3 \alpha v^2$$
C
$$a=-2 \alpha v^3$$
D
$$a=-4 \alpha v^4$$
3
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
$$M_2 /\left(M_1+M_2\right)$$
4
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The parameter that remains the same for molecules of all gases at a given temperature is :

A
kinetic energy
B
mass
C
momentum
D
speed
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