Equation of travelling wave on a stretched string of linear density 5 ~g / m is y=0.03 (450 t-9 x) where distance and time are measured in SI units. The tension in the string is:

Correct answer: C. 12.5 ~N We have given, y=0.03 (450 t-9 x) Comparing it with standard equation of wave, we get ω= 450 k=9 v= ω k =(450)/(9)=50 ~m / s Velocity of travelling wave on a stretched string is given by v= T μ T μ =2500 μ= linear mass density T=2500 × 5 × 10^ -3 12.5 ~N

JEE Main 201911 JanuaryMorning Shift

Exam: JEE Main
Year: 2019
Date: 11 January
Shift: Morning Shift
Subject: Physics
Chapter: Waves and Sound

JEE Main 2019 · 11 January · Morning Shift · Physics · Waves and Sound

Equation of travelling wave on a stretched string of linear density...

Equation of travelling wave on a stretched string of linear density

5 \mathrm{~g} / \mathrm{m}

\mathrm{y}=0.03 \sin (450 \mathrm{t}-9 \mathrm{x})

where distance and time are measured in SI units. The tension in the string is:

Options

A $10 \mathrm{~N}$
B $7.5 \mathrm{~N}$
C $12.5 \mathrm{~N}$
D $5 \mathrm{~N}$

Correct answer

C. $12.5 \mathrm{~N}$

Step-by-step solution

We have given,

y=0.03 \sin (450 t-9 x)

Comparing it with standard equation of wave, we get

\omega=

450 \mathrm{k}=9

\therefore \mathrm{v}=\frac{\omega}{\mathrm{k}}=\frac{450}{9}=50 \mathrm{~m} / \mathrm{s}

Velocity of travelling wave on a stretched string is given by

\mathrm{v}=\sqrt{\frac{\mathrm{T}}{\mu}} \Rightarrow \frac{\mathrm{T}}{\mu}=2500

\mu=

linear mass density

\Rightarrow \mathrm{T}=2500 \times 5 \times 10^{-3}

\Rightarrow 12.5 \mathrm{~N}

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes… JEE Advanced 2026 A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are… JEE Main 2026 The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x… JEE Main 2026 The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and… JEE Main 2026 Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A… JEE Main 2026 A point source is kept at the center of a spherically enclosed detector. If the volume of… JEE Main 2026 The fifth harmonic of a closed organ pipe is found to be in unison with the first… JEE Main 2026 The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^… JEE Main 2026 Full Waves and Sound list All JEE Main PYQs