Question:
The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplitude A/2 is
The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplitude A/2 is
Show Hint
Total energy is E; subtract the potential energy at A/2.
Updated On: Oct 1, 2026
- \(\frac{3\text{E}}{4}\)
- \(\text{E}\)
- \(\frac{2\text{E}}{4}\)
- \(\frac{5\text{E}}{4}\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Total energy
The maximum potential energy equals the total energy: \(E = \frac12kA^2\).
Step 2: PE at A/2
\(U = \frac12k\left(\frac A2\right)^2 = \frac E4\).
Step 3: KE
\(K = E - \frac E4 = \frac{3E}{4}\). Option (A).
Final Answer:
The kinetic energy is 3E/4. \[ \boxed{\text{(A)}\ \frac{3E}{4}} \]
The maximum potential energy equals the total energy: \(E = \frac12kA^2\).
Step 2: PE at A/2
\(U = \frac12k\left(\frac A2\right)^2 = \frac E4\).
Step 3: KE
\(K = E - \frac E4 = \frac{3E}{4}\). Option (A).
Final Answer:
The kinetic energy is 3E/4. \[ \boxed{\text{(A)}\ \frac{3E}{4}} \]
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Energy in simple harmonic motion Questions
- The potential energy of a simple harmonic oscillator, when the particle is half way to its end point is (where $ E $ is the total energy)
- $ U $ is the $ PE $ of an oscillating particle and $ F $ is the force acting on it at a given instant. Which of the following is true ?
- Find the ratio of K.E. and P.E. when a particle performs SHM when it is at \( \frac{1}{n} \) times of its amplitude from the mean position.
- A particle starts oscillating simple harmonically from its mean position with time period \(T\); find the ratio of potential energy to kinetic energy at time \(t = \frac{T}{6}\).
- A particle in SHM has a speed of \(6\,cm/s\) at the mean position and an amplitude of \(4\,cm\). Find its position when its velocity is \(2\,cm/s\).
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions