The amplitude of a particle executing $SHM$ is made three-fourth keeping its time period constant. Its total energy will be
Easy
Download our app for free and get started
(c) $E = \frac{1}{2}m{\omega ^2}{a^2}$==>$\frac{{E'}}{E} = \frac{{{{a'}^2}}}{{{a^2}}}$
==>$\frac{{E'}}{E} = \frac{{{{\left( {\frac{3}{4}a} \right)}^2}}}{{{a^2}}}$
==>$E' = \frac{9}{{16}}E$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A uniform thin ring of radius $R$ and mass $m$ suspended in a vertical plane from a point in its circumference. Its time period of oscillation is ........View Solution
- 2The kinetic energy of a particle executing $S.H.M.$ is $16\, J$ when it is in its mean position. If the amplitude of oscillations is $25\, cm$ and the mass of the particle is $5.12\, kg$, the time period of its oscillation isView Solution
- 3The amplitude of a damped oscillator decreases to $0.9$ times its original magnitude in $5\ s$. In another $10\ s$ it will decrease to $\alpha $ times its original magnitude, where $\alpha $ equalsView Solution
- 4View SolutionWhat effect occurs on the frequency of a pendulum if it is taken from the earth surface to deep into a mine
- 5A simple pendulum has time period $T_1$. The point of suspension is now moved upward according to equation $y = k{t^2}$ where $k = 1\,m/se{c^2}$. If new time period is $T_2$ then ratio $\frac{{T_1^2}}{{T_2^2}}$ will beView Solution
- 6silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of $10^{12} /sec$. What is the force constant of the bonds connecting one atom with the other? ................ $\mathrm{N/m}$ (Mole wt. of silver $= 108 $ andAvagadro number $= 6.02 \times 10^{23}$ $gm \ mole^{ -1}$ )View Solution
- 7View SolutionIn simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
- 8The amplitude and the periodic time of a $S.H.M.$ are $ 5\,cm$ and $6\,sec$ respectively. At a distance of $2.5\,cm$ away from the mean position, the phase will beView Solution
- 9Two simple harmonic motions are represented by equations ${y_1} = 4\,\sin \,\left( {10t + \phi } \right)$ and ${y_2} = 5\,\cos \,10\,t$ What is the phase difference between their velocities?View Solution
- 10View SolutionSelect wrong statement about simple,harmonic motion