1
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A mass ' $M$ ' is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of periodic time ' $T$ '. If the mass is increased by ' $m$ ', the time period becomes $4 T / 3$, then the ratio of $\frac{\mathrm{M}}{\mathrm{m}}$ is

A

$3: 1$

B

$9: 7$

C

$7: 9$

D

$1: 3$

2
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

The energy of a photon is equal to the kinetic energy of proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if E is the energy of photon then $\lambda_2: \lambda_1$ is

A

$1: \sqrt{3 \mathrm{E}}$

B

$1: \sqrt{E}$

C

$\sqrt{\mathrm{E}}: 1$

D

$\sqrt{3 E}: 1$

3
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

In an adiabatic change, the pressure and temperature of a diatomic gas are related as $\mathrm{P} \propto \mathrm{T}^{\mathrm{c}}$, where c is a constant. The value of c is (consider gas molecules are rigid)

A

$\frac{9}{7}$

B

$\frac{7}{2}$

C

$\frac{5}{2}$

D

$\frac{4}{3}$

4
MHT CET (PCB) 2025 9th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A}+\vec{B}|$ is $\left(\tan 60^{\circ}=\sqrt{3}, \cos 60^{\circ}=0.5\right)$

A

$\left(A^2+B^2+\frac{A B}{\sqrt{3}}\right)^{\frac{1}{2}}$

B

$\left(A^2+B^2+A B\right)^{\frac{1}{2}}$

C

$\left(A^2+B^2+\sqrt{3} A B\right)^{\frac{1}{2}}$

D

$\mathrm{A}+\mathrm{B}$