1
JEE Main 2025 (Online) 4th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle $45^{\circ}$ with the horizontal. The friction coefficient between the block and the surface is 0.25 . The block travels at a uniform velocity. The work done by the applied force during a displacement of 5 m of the block is :

A
490 J
B
970 J
C
735 J
D
245 J
2
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
A particle is released from height $S$ above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively.
A
$\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
B
$\frac{\mathrm{S}}{2}, \frac{3 \mathrm{gS}}{2}$
C
$\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
D
$\frac{\mathrm{S}}{2}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
3
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{dm}{dt} \propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

A

P $\propto \sqrt{v}$

B

P $\propto v$

C

$P^2 \propto v^3$

D

$P^2 \propto v^5$

4
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3,4) \mathrm{m}$. Under the action of force $\overrightarrow{\mathrm{F}}=(2 \hat{i}+3 \hat{j}) \mathrm{N}$, it moves to a new point Q having coordinates $(6,10) \mathrm{m}$ in 4 sec . The average power and instanteous power at the end of 4 sec are in the ratio of :
A

4 : 3

B

13 : 6

C

1 : 2

D

6 : 13

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