A transverse sinusoidal wave of amplitude a, wavelength lambda and frequency n is travelling on a stretched string. The maximum speed of any point on

Q: A transverse sinusoidal wave of amplitude $a,$ wavelength $\lambda$ and frequency $n$ is travelling on a stretched string. The maximum speed of any point on the string is $v/10,$ where $v$ is the speed of propagation of the wave. If $a = {10^{ - 3}}\,m$ and $v = 10\,m{s^{ - 1}}$, then $\lambda$ and $n$ are given by

d (d) ${v_{\max }} = a\omega = \frac{v}{{10}} = \frac{{10}}{{10}} = m/sec$ $ \Rightarrow $$a\omega = a \times 2\pi n = 1$$ \Rightarrow $$n = \frac{{{{10}^3}}}{{2\pi }}$ $(\because a=10^{-3})$ Since $v = n\lambda \Rightarrow \lambda = \frac{v}{n} = \frac{{10}}{{{{10}^3}/2\pi }} = 2\pi \times {10^{ - 2}}\,m$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A transverse sinusoidal wave of amplitude $a,$ wavelength $\lambda$ and frequency $n$ is travelling on a stretched string. The maximum speed of any point on the string is $v/10,$ where $v$ is the speed of propagation of the wave. If $a = {10^{ - 3}}\,m$ and $v = 10\,m{s^{ - 1}}$, then $\lambda$ and $n$ are given by

A$\lambda = 2\pi \times {10^{ - 2}}\,m$
B$\lambda = {10^{ - 3}}\,m$
C$n = \frac{{{{10}^3}}}{{2\pi }}Hz$
DBoth $(a)$ and $(c)$

IIT 1998, Medium

STD 11 Science
NEET
STD 11 - 14. waves and sound
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
For a transverse wave travelling along a straight line, the distance between two peaks (crests) is $5 \,m ,$ while the distance between one crest and one trough is $1.5 \,m$ The possible wavelengths (in $m$ ) of the waves are
View Solution
2
The relation between phase difference $ (\Delta \phi) $ and path difference $ (\Delta x) $ is
View Solution
3
Consider the three waves

${z_1},{z_2}$ and ${z_3}$ as${z_1} = A\sin (kx - \omega \,t)$, ${z_2} = A\sin (kx + \omega \,t)$ and ${z_3} = A\sin (ky - \omega \,t)$.

Which of the following represents a standing wave
View Solution
4
Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 cm$, the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 \,m/s. $ Then $n$ is .... $Hz$
View Solution
5
Two tuning forks $A$ and $B$ produce $8\ beats/s$ when sounded together. A gas column $37.5\ cm$ long in a pipe closed at one end resonate to its fundamental mode with fork $A$ whereas a column of length $38.5\ cm$ of the same gas in a similar pipe is required for a similar resonance with fork $B$. The frequencies of these two tuning forks, are
View Solution
6
A string of length $1 \mathrm{~m}$ and mass $2 \times 10^{-5} \mathrm{~kg}$ is under tension $\mathrm{T}$. when the string vibrates, two successive harmonics are found to occur at frequencies $750 \mathrm{~Hz}$ and $1000 \mathrm{~Hz}$. The value of tension $\mathrm{T}$ is. . . . . . .Newton.
View Solution
7
The pitch of an organ pipe is highest when the pipe is filled with
View Solution
8
The frequency of a car horn encountered a change from $400\, {Hz}$ to $500\, {Hz}$, when the car approaches a vertical wall. If the speed of sound is $330\, {m} / {s}$. Then the speed of car is $.....\,{km} / {h} .$
View Solution
9
The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right.

Which one of the following correctly shows the direction of the velocity of the points $1, 2$ and $3$ on the string
View Solution
10
A source of sound emits $200\pi W$ power which is uniformly distributed over a sphere of $10 m$ radius. What is the loudness of sound on the surface of a sphere
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free