MHT CET 2024 11th May Evening Shift | Simple Harmonic Motion Question 10 | Physics

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)

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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)

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

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

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

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

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

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All the springs in fig. (a), (b) and (c) are identical, each having force constant K . Mass attached to each system is ' $m$ '. If $T_a, T_b$ and $T_c$ are the time periods of oscillations of the three systems respectively, then

MHT CET 2024 11th May Evening Shift Physics - Simple Harmonic Motion Question 5 English

$\mathrm{T}_{\mathrm{a}}=\sqrt{2} \mathrm{~T}_{\mathrm{b}}$

$\mathrm{T}_{\mathrm{a}}=\frac{\mathrm{T}_{\mathrm{c}}}{\sqrt{2}}$

$T_b=2 T_a$

$T_b=2 T_c$

MHT CET 2024 11th May Morning Shift

MCQ (Single Correct Answer)

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A simple pendulum of length ' $L$ ' has mass ' $M$ ' and it oscillates freely with amplitude ' $A$ '. At extreme position, its potential energy is

$\frac{\mathrm{MgA}^2}{\mathrm{~L}}$

$\frac{2 \mathrm{MgA}^2}{\mathrm{~L}}$

$\frac{\mathrm{MgA}}{2 \mathrm{~L}}$

$\frac{\mathrm{MgA}^2}{2 \mathrm{~L}}$

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