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Simple Harmonic Motion question

2022 · 25 Jul · Shift 1 · Q49

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JEE Main
Physics
Simple Harmonic Motion
2022 · 25 Jul · Shift 1 · Q49

Simple Harmonic Motion question

2022 · 25 Jul · Shift 1 · Q49

JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1

JEE Main 2022 (Online) 25th July Morning Shift Physics - Simple Harmonic Motion Question 57 English

In figure

(\mathrm{A})

, mass '

2 \mathrm{~m}^{\text {' }}

is fixed on mass '

\mathrm{m}

' which is attached to two springs of spring constant

\mathrm{k}

. In figure (B), mass '

\mathrm{m}

' is attached to two springs of spring constant '

\mathrm{k}

' and '

2 \mathrm{k}^{\prime}

. If mass '

\mathrm{m}

' in (A) and in (B) are displaced by distance '

x^{\prime}

horizontally and then released, then time period

\mathrm{T}_{1}

and

\mathrm{T}_{2}

corresponding to

(\mathrm{A})

and (B) respectively follow the relation.

A
$\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}=\frac{3}{\sqrt{2}}$
B
$\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}=\sqrt{\frac{3}{2}}$
C
$\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}=\sqrt{\frac{2}{3}}$
D
$\frac{T_{1}}{T_{2}}=\frac{\sqrt{2}}{3}$

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