WB JEE 2022 | Simple Harmonic Motion Question 6 | Physics

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

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

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

$$\delta = \pi $$

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

WB JEE 2021

MCQ (Single Correct Answer)

-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 T_max = 2T_min, where T_max and T_min are the maximum and minimum tension in the string, respectively. The value of maximum tension T_max in the string is

$${{3mg} \over 2}$$

$${{3mg} \over 4}$$

3 mg

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

The bob of a swinging second pendulum (one whose time period is 2 s) has a small speed v₀ at its lowest point. It height from this lowest point 2.25 s after passing through it, is given by

$${{v_0^2} \over {2g}}$$

$${{v_0^2} \over {g}}$$

$${{v_0^2} \over {4g}}$$

$${{9v_0^2} \over {4g}}$$

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

In case of a simple harmonic motion, if the velocity is plotted along the X-axis and the displacement (from the equilibrium position) is plotted along the Y-axis, the resultant curve happens to be an ellipse with the ratio $${{major\,axis\,(along\,X)} \over {minor\,axis\,(along\,Y)}} = 20\pi $$

What is the frequency of the simple harmonic motion?

100 Hz

20 Hz

10 Hz

$${1 \over {10}}$$ Hz

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