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JEE Main 20202 SeptemberMorning Shift

Exam: JEE Main
Year: 2020
Date: 2 September
Shift: Morning Shift
Subject: Physics
Chapter: Waves and Sound

JEE Main 2020 · 2 September · Morning Shift · Physics · Waves and Sound

Two identical strings X and Z made of same material have tension T...

Two identical strings

X

and

Z

made of same material have tension

{T}_{X}

and

{T}_{Z}

in then if their fundamental frequencies are

450Hz

and

300Hz

, respectively, then the ratio

{T}_{X} / {T}_{Z}

is :

Options

A $2 . 25$
B $0 . 44$
C $1 . 25$
D $1 . 5$

Correct answer

A. $2 . 25$

Step-by-step solution

$\begin{array}{ll}{f}_{X} = \dfrac{1}{2ℓ}\sqrt{\dfrac{{T}_{X}}{\mu}}\end{array}$

$\begin{array}{ll}{f}_{Z} = \dfrac{1}{2ℓ}\sqrt{\dfrac{{T}_{Z}}{\mu}}\end{array}$

$\begin{array}{ll}\dfrac{{f}_{X}}{{f}_{Z}} = \dfrac{450}{300} = \sqrt{\dfrac{{T}_{X}}{{T}_{Z}}}\end{array}$

$⇒ {T}_{X} / {T}_{Z} = 9 / 4 = 2 . 25$

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