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Oscillations

JEE Main 2024 (Online) 30th January Evening ShiftNumericalEasy📈 Topic in 10% papers+4
Ques. 1JEE Main 2024, 30 January (Evening Shift)

A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string is 4 m, then the time period of small oscillations will be s. [take g= 2 m s-2]

Answer

8

Solution

g'= g(1+h/R)2= g4 ( h=R)

T=2 lg'=2 4 4 2

=2 4 =8 s

Answer: 8

Keep practising — Oscillations

Ques. 2JEE Main 2024, 29 January (Morning Shift)

When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is x8, where x= .

Ques. 3JEE Main 2024, 29 January (Evening Shift)

A simple harmonic oscillator has an amplitude A and time period 6 second. Assuming the oscillation starts from its mean position, the time required by it to travel from x=A to x= 32 A will be x s, where x= .

Ques. 4JEE Main 2024, 27 January (Morning Shift)

A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position, velocity of the particle is 10 cm/s. The distance of the particle from the mean position when its speed becomes 5 cm/s is cm, where = .

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