1
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
$$\sqrt{\frac{\alpha}{m \beta^6}}$$
2
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
B
C
D
3
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
$$\delta = {\pi \over 2}$$
4
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
A simple pendulum, consisting of a small ball of mass m attached to a massless string hanging vertically from the ceiling is oscillating with an amplitude such that Tmax = 2Tmin, where Tmax and Tmin are the maximum and minimum tension in the string, respectively. The value of maximum tension Tmax in the string is
A
$${{3mg} \over 2}$$
B
mg
C
$${{3mg} \over 4}$$
D
3 mg
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