List of top Physics Questions on Energy in simple harmonic motion asked in JEE Main

In a simple pendulum of length 10 m, the string is initially kept horizontal and the bob is released. 10% of energy is lost till the bob reaches the lowest position. Then find the speed of the bob at the lowest position.

The length of a seconds pendulum if it is placed at height \(2R\) from the surface of the earth (R: radius of earth) is \(\frac{10}{xπ^2}\) \(m\). Find \(x\)

A pendulum of length 4 m is located at a height R above the earth's surface.The period of the simple pendulum is \(2\pi\sqrt{\frac{8}{x}}\) seconds. Find x.

The amplitude of a particle executing SHM is $3 \,cm$ The displacement at which its kinetic energy will be $25 \%$ more than the potential energy is:_______ $cm$

A block is fastened to a horizontal spring. The block is pulled to a distance \(x=10\ cm\) from its equilibrium position (at $x=0$ ) on a frictionless surface from rest. The energy of the block at $x=5$ $cm$ is $025 J$. The spring constant of the spring is _____$Nm ^{-1}$.

The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^2=50-x^2$ The time period of oscillations is $\frac{x}{7} s$ The value of $x$ is _______(Take \(\pi =\frac{22}{7}\))

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

An observer is riding on a bicycle and moving towards a hill at $18 \,kmh ^{-1}$ He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill If the original frequency of the sound as emitted by source is $640\, Hz$ and velocity of the sound in air is $320\, m / s$, the beat frequency between the two sounds heard by observer will be _______Hz

A block is fastened to a horizontal spring. The block is pulled to a distance \(x=10\ cm\) from its equilibrium position (at \(x=0\) ) on a frictionless surface from rest. The energy of the block at \(x=5\) \(cm\) is \(025 J\). The spring constant of the spring is _____\(Nm ^{-1}\).

A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

A nucleus with mass number 242 and binding energy per nucleon as 7.6 MeV breaks into fragment each with mass number 121. If each fragment nucleus has binding energy per nucleon as 8.1 MeV, the total gain in binding energy is ____MeV.

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1:3:5 respectively. If the frequency of fifth harmonic is 405 Hz and the speed of sound in air is 324 ms^-1 the length of the organ pipe is ___ m.