1
WB JEE 2008
+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 2023
+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
+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
+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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