1
JEE Main 2025 (Online) 7th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An object with mass 500 g moves along x-axis with speed $v = 4\sqrt{x}$ m/s. The force acting on the object is :

A

8 N

B

4 N

C

5 N

D

6 N

2
JEE Main 2025 (Online) 7th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A cubic block of mass $m$ is sliding down on an inclined plane at $60^{\circ}$ with an acceleration of $\frac{g}{2}$, the value of coefficient of kinetic friction is

A
$\frac{\sqrt{3}}{2}$
B
$\frac{\sqrt{2}}{3}$
C
$1-\frac{\sqrt{3}}{2}$
D
$\sqrt{3}-1$
3
JEE Main 2025 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A body of mass $m$ is suspended by two strings making angles $\theta_1$ and $\theta_2$ with the horizontal ceiling with tensions $T_1$ and $T_2$ simultaneously. $T_1$ and $T_2$ are related by $T_1=\sqrt{3} T_2$, the angles $\theta_1$ and $\theta_2$ are

A
$\theta_1=30^{\circ} \theta_2=60^{\circ}$ with $T_2=\frac{3 \mathrm{mg}}{4}$
B
$\theta_1=45^{\circ} \theta_2=45^{\circ}$ with $T_2=\frac{3 m g}{4}$
C
$\theta_1=30^{\circ} \theta_2=60^{\circ}$ with $T_2=\frac{4 m g}{5}$
D
$\theta_1=60^{\circ} \theta_2=30^{\circ}$ with $T_2=\frac{m g}{2}$
4
JEE Main 2025 (Online) 3rd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region ranging from $x=0.1 \mathrm{~m}$ to $x=1.9 \mathrm{~m}$. The retarding force acting on the block in this range is $\mathrm{F}_{\mathrm{r}}=-\mathrm{kr} \mathrm{N}$, with k $=10 \mathrm{~N} / \mathrm{m}$. Then the final speed of the block as it crosses rough region is.

A
$4 \mathrm{~m} / \mathrm{s}$
B
$10 \mathrm{~m} / \mathrm{s}$
C
$8 \mathrm{~m} / \mathrm{s}$
D
$6 \mathrm{~m} / \mathrm{s}$
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