1
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

The resultant of $\mathbf{A}$ and $\mathbf{B}$ is $\mathbf{R}_1$. On reversing the vector $\mathbf{B}$, the resultant becomes $\mathbf{R}_2$. What is the value of $R_1^2+R_2^2$ ?

A
$A^2+B^2$
B
$A^2-B^2$
C
$2\left(A^2+B^2\right)$
D
$2\left(A^2-B^2\right)$
2
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

The horizontal range of a projectile is $4 \sqrt{3}$ times of its maximum height. The angle of projection will be

A
$60^{\circ}$
B
$37^{\circ}$
C
$30^{\circ}$
D
$45^{\circ}$
3
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

In the equation for a stationary wave given by $y=5 \cos \frac{\pi x}{25} \sin 100 \pi t$. Here, $x$ is in cm and $t$ in second. A node will not occur at distance $x$ is equal to

A
25 cm
B
62.5 cm
C
12.5 cm
D
37.5 cm
4
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

The potential energy of a particle of mass 0.1 kg moving along the $X$-axis, is given by $U=5 x(x-4) \mathrm{J}$, where $x$ is in metres. Choose the wrong option.

A
The speed of the particle is maximum at $x=2 \mathrm{~m}$
B
The particle executes simple harmonic motion
C
The period of oscillation of the particle is $\frac{\pi}{5} \mathrm{~s}$
D
None of the above
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