HARD
JEE Main
IMPORTANT
Earn 100
A particle moves with simple harmonic motion in a straight line. In first , after starting from rest it travels a distance a, and in next it travels 2a, in same direction, then :
50% studentsanswered this correctly
Important Questions on Oscillations
HARD
JEE Main
IMPORTANT
An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass . The piston and the cylinder have equal cross-sectional area . When the piston is in equilibrium, the volume of the gas is and its pressure is . The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency
[Assume the system is in space.]
MEDIUM
JEE Main
IMPORTANT
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to times its original magnitude, where equals :
EASY
JEE Main
IMPORTANT
Two massless springs with spring constants and , carry and masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :
EASY
JEE Main
IMPORTANT
Time period of a simple pendulum in a stationary lift is . If the lift accelerates with vertically upwards then the time period will be
(Where acceleration due to gravity)
EASY
JEE Main
IMPORTANT
The displacement of simple harmonic oscillator after seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is
EASY
JEE Main
IMPORTANT
The equation of a particle executing simple harmonic motion is given by . At , the speed of particle will be (Given: )
EASY
JEE Main
IMPORTANT
A particle executes simple harmonic motion. Its amplitude is and time period is . The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is _____
MEDIUM
JEE Main
IMPORTANT
A body is performing simple harmonic with an amplitude of . The velocity of the body was tripled by air Jet when it is at from its mean position. The new amplitude of vibration is . The value of is _____ .
