WB JEE 2008 | Simple Harmonic Motion Question 1 | Physics

1

WB JEE 2008

MCQ (Single Correct Answer)

+1

-0.25

Two springs are joined and attached to a mass of 16 kg. The system is then suspended vertically from a rigid support. The spring constant of the two springs are K₁ and K₂ respectively. The period of vertical oscillations of the system will be

A

$${1 \over {8\pi }}\sqrt {{K_1} + {K_2}} $$

B

$$8\pi \sqrt {{{{K_1} + {K_2}} \over {{K_1}{K_2}}}} $$

C

$${\pi \over 2}\sqrt {{K_1} - {K_2}} $$

D

$${\pi \over 2}\sqrt {{{{K_1}} \over {{K_2}}}} $$

2

WB JEE 2024

MCQ (Single Correct Answer)

+1

-0.25

A particle of mass '$$m$$' moves in one dimension under the action of a conservative force whose potential energy has the form of $$U(x)=-\frac{\alpha x}{x^2+\beta^2}$$ where $$\alpha$$ and $$\beta$$ are dimensional parameters. The angular frequency of the oscillation is proportional to

A

$$\sqrt{\frac{\alpha^3}{\mathrm{~m} \beta^4}}$$

B

$$\sqrt{\frac{\alpha}{m \beta^4}}$$

C

$$\sqrt{\frac{\alpha}{\mathrm{m} \beta^3}}$$

D

$$\sqrt{\frac{\alpha}{m \beta^6}}$$

3

WB JEE 2023

MCQ (Single Correct Answer)

+1

-0.25

In a simple harmonic motion, let f be the acceleration and t be the time period. If x denotes the displacement, then |fT| vs. x graph will look like,

A

WB JEE 2023 Physics - Simple Harmonic Motion Question 2 English Option 1

B

WB JEE 2023 Physics - Simple Harmonic Motion Question 2 English Option 2

C

WB JEE 2023 Physics - Simple Harmonic Motion Question 2 English Option 3

D

WB JEE 2023 Physics - Simple Harmonic Motion Question 2 English Option 4

4

WB JEE 2022

MCQ (Single Correct Answer)

+1

-0.25

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motion, the phase difference ($$\delta$$) between the two motion is

A

$$\delta = {\pi \over 3}$$

B

$$\delta = {{2\pi } \over 3}$$

C

$$\delta = \pi $$

D

$$\delta = {\pi \over 2}$$