1
JEE Main 2025 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A body of mass 2 kg moving with velocity of $ \vec{v}_{in} = 3 \hat{i} + 4 \hat{j} \text{ ms}^{-1} $ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $ \frac{5}{3} $ seconds, then velocity of the body when it emerges from force field is.

A

$ 3\hat{i} + 4\hat{j} + \sqrt{5} \hat{k} $

B

$ 4\hat{i} + 3\hat{j} + 5\hat{k} $

C

$ 3\hat{i} + 4\hat{j} - 5\hat{k} $

D

$ 3\hat{i} + 4\hat{j} + 5\hat{k} $

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

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

3
JEE Main 2025 (Online) 7th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

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
$\sqrt{3}-1$
4
JEE Main 2025 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

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 $T_2=\frac{m g}{2}$
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