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.
- \(6 \;m/s\)
- \(6\sqrt5 \;m/s\)
- \(7\sqrt5 \;m/s\)
- \(4\sqrt2 \;m/s\)
The Correct Option is B
Solution and Explanation
The correct option is (B): \(6\sqrt5 \;m/s\)
Top Questions on Energy in simple harmonic motion
- A ring and a solid sphere are released from rest from the same height on enough rough inclined surface. The ratio of their speed when they reach the bottom is \( \sqrt{\frac{7}{x}} \) m/s, then \( x \) is ______.
- JEE Main - 2025
- Physics
- Energy in simple harmonic motion
A bullet of mass \(10^{-2}\) kg and velocity \(200\) m/s gets embedded inside the bob of mass \(1\) kg of a simple pendulum. The maximum height that the system rises by is_____ cm.
- JEE Main - 2024
- Physics
- Energy in simple harmonic motion
From a height of 'h' above the ground, a ball is projected up at an angle \( 30^\circ \) with the horizontal. If the ball strikes the ground with a speed of 1.25 times its initial speed of \( 40 \ ms^{-1} \), the value of 'h' is:
- TS EAMCET - 2024
- Physics
- Energy in simple harmonic motion
- 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 \(x\)
- JEE Main - 2024
- Physics
- Energy in simple harmonic motion
- 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.
- JEE Main - 2024
- Physics
- Energy in simple harmonic motion
Questions Asked in JEE Main exam
From the following, how many compounds contain at least one secondary alcohol?
- JEE Main - 2026
- Alcohols, Phenols and Ethers
- Read the following statements:
(B) Q has more dipole moment than P.
(C) In Q, C–Cl bond has double bond character.
(D) In Q, Cl is attached to sp$^2$ hybridised carbon but in P, Cl is attached to sp$^3$.
(E) In Q, C–Cl bond length is more due to repulsion between lone pair on chlorine and $\pi$ electron in aromatic ring.
- JEE Main - 2026
- Haloalkanes and Haloarenes
- Given below are two statements:
Statement I: The first ionization enthalpy of Cr is lower than that of Mn.
Statement II: The second and third ionization enthalpies of Cr are higher than those of Mn.
In the light of the above statements, choose the correct answer from the options given below:- JEE Main - 2026
- Periodic properties
- The IUPAC name of the following compound is:
- JEE Main - 2026
- Organic Chemistry
If a random variable \( x \) has the probability distribution
then \( P(3<x \leq 6) \) is equal to- JEE Main - 2026
- Conditional Probability
Concepts Used:
Energy In Simple Harmonic Motion
We can note there involves a continuous interchange of potential and kinetic energy in a simple harmonic motion. The system that performs simple harmonic motion is called the harmonic oscillator.
Case 1: When the potential energy is zero, and the kinetic energy is a maximum at the equilibrium point where maximum displacement takes place.
Case 2: When the potential energy is maximum, and the kinetic energy is zero, at a maximum displacement point from the equilibrium point.
Case 3: The motion of the oscillating body has different values of potential and kinetic energy at other points.