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

A body of mass $$2 \mathrm{~kg}$$ begins to move under the action of a time dependent force given by $$\vec{F}=\left(6 t \hat{i}+6 t^2 \hat{j}\right) N$$. The power developed by the force at the time $$t$$ is given by:

A
$$\left(3 t^3+6 t^5\right) W$$
B
$$\left(9 t^5+6 t^3\right) W$$
C
$$\left(6 t^4+9 t^5\right) W$$
D
$$\left(9 t^3+6 t^5\right) W$$
2
JEE Main 2024 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

A block of mass $$1 \mathrm{~kg}$$ is pushed up a surface inclined to horizontal at an angle of $$60^{\circ}$$ by a force of $$10 \mathrm{~N}$$ parallel to the inclined surface as shown in figure. When the block is pushed up by $$10 \mathrm{~m}$$ along inclined surface, the work done against frictional force is :

$$\left[g=10 \mathrm{~m} / \mathrm{s}^2\right]$$

A
5$$\sqrt3$$ J
B
5 J
C
$$5\times10^3$$ J
D
10 J
3
JEE Main 2024 (Online) 30th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

A particle is placed at the point $$A$$ of a frictionless track $$A B C$$ as shown in figure. It is gently pushed towards right. The speed of the particle when it reaches the point B is :

(Take $$g=10 \mathrm{~m} / \mathrm{s}^2$$).

A
$$2 \sqrt{10} \mathrm{~m} / \mathrm{s}$$
B
$$10 \mathrm{~m} / \mathrm{s}$$
C
$$\sqrt{10} \mathrm{~m} / \mathrm{s}$$
D
$$20 \mathrm{~m} / \mathrm{s}$$
4
JEE Main 2024 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

A bob of mass '$$m$$' is suspended by a light string of length '$$L$$'. It is imparted a minimum horizontal velocity at the lowest point $$A$$ such that it just completes half circle reaching the top most position B. The ratio of kinetic energies $$\frac{(K . E)_A}{(K . E)_B}$$ is :

A
5 : 1
B
3 : 2
C
1 : 5
D
2 : 5
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