MHT CET 2024 15th May Morning Shift | Simple Harmonic Motion Question 8 | Physics

Starting from mean position, a body oscillates simple harmonically with a period ' $T$ '. After what time will its kinetic energy be $75 \%$ of the total energy? $\left(\sin 30^{\circ}=0.5\right)$

$\frac{\mathrm{T}}{8}$

$\frac{\mathrm{T}}{12}$

$\frac{\mathrm{T}}{16}$

$\frac{\mathrm{T}}{24}$

MHT CET 2024 15th May Morning Shift

MCQ (Single Correct Answer)

-0

The maximum velocity of a particle, executing S.H.M. with an amplitude 7 mm is $4.4 \mathrm{~ms}^{-1}$ The period of oscillation is $\left[\pi=\frac{22}{7}\right]$

100 s

10 s

0.1 s

0.01 s

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

-0

A particle is performing S.H.M. about its mean position with an amplitude ' $a$ ' and periodic time ' $T$ '. The speed of the particle when its displacement from mean position is $\frac{a}{3}$ will be

$\frac{2 \pi \mathrm{a}}{\mathrm{T}}$

$\frac{4 \sqrt{2} \pi \mathrm{a}}{3 \mathrm{~T}}$

$\frac{4 \pi^2 a}{3 \mathrm{~T}}$

$\frac{\sqrt{3} \pi^2 a}{2 \mathrm{~T}}$

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

-0

A piece of wood has length, breadth and height, ' $a$ ', ' $b$ ' and ' $c$ ' respectively. Its relative density, is ' $d$ '. It is floating in water such that the side ' $a$ ' is vertical. It is pushed down a little and released. The time period of S.H.M. executed by it is ($\mathrm{g}=$ acceleration due to gravity)

$2 \pi \sqrt{\frac{a b c}{g}}$

$2 \pi \sqrt{\frac{\mathrm{bc}}{\mathrm{dg}}}$

$2 \pi \sqrt{\frac{g}{d a}}$

$2 \pi \sqrt{\frac{\mathrm{ad}}{\mathrm{g}}}$

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