English
Karnataka Board PUCPUC Science Class 11

Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modules of the wires are YA and YBwhereas the densities are - Physics

Advertisements
Advertisements

Question

Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modules of the wires are YA and YB whereas the densities are \[\rho_A \text{ and }   \rho_B\]. It is given that YA > YB and \[\rho_A  >  \rho_B\]. A transverse signal started at one end takes a time t1 to reach the other end for A and t2 for B.

Options

  •  t1 < t2

  •  t1 = t2

  • t1 > t2

  • the information is insufficient to find the relation between t1 and t2.

MCQ
Advertisements

Solution

the information is insufficient to find the relation between t1 and t2.
\[v = \sqrt{\frac{\eta}{\rho}}\]
But because the length of wires A and B is not known, the relation between A and B cannot be determined.

shaalaa.com
The Speed of a Travelling Wave
  Is there an error in this question or solution?
Chapter 15: Wave Motion and Waves on a String - MCQ [Page 322]

APPEARS IN

HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 15 Wave Motion and Waves on a String
MCQ | Q 12 | Page 322

RELATED QUESTIONS

A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m s–1? (g= 9.8 m s–2)


You have learnt that a travelling wave in one dimension is represented by a function y= f (x, t)where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave:

(a) `(x – vt )^2`

(b) `log [(x + vt)/x_0]`

(c) `1/(x + vt)`


A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is given to be 2.53 kHz. What is the speed of sound in steel?


A SONAR system fixed in a submarine operates at a frequency 40.0 kHz. An enemy submarine moves towards the SONAR with a speed of 360 km h–1. What is the frequency of sound reflected by the submarine? Take the speed of sound in water to be 1450 m s–1.


The radio and TV programmes, telecast at the studio, reach our antenna by wave motion. Is it a mechanical wave or nonmechanical?


A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. The particle closest to it having zero displacement is at a distance


Choose the correct option:

Which of the following equations represents a wave travelling along Y-axis? 


Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is


The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given f(t) = A sin (t/T). The wave speed is  v. Write the wave equation.


A wave propagates on a string in the positive x-direction at a velocity \[\nu\] \[t =  t_0\] is given by \[g\left( x, t_0 \right) = A  \sin  \left( x/a \right)\]. Write the wave equation for a general time t.


A wire of length 2⋅00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.


A man standing unsymmetrical position between two mountains and fires a gun. He hears the first echo after 1.5 s and the second echo after 2.5 s. If the speed of sound in air is 340 m/s, then the distance between the mountains will be ______ 


What is the interference of sound waves? 


Use the formula `v = sqrt((gamma P)/rho)` to explain why the speed of sound in air increases with temperature.


A sound wave is passing through air column in the form of compression and rarefaction. In consecutive compressions and rarefactions ______.


A transverse harmonic wave on a string is described by y(x, t) = 3.0 sin (36t + 0.018x + π/4) where x and y are in cm and t is in s. The positive direction of x is from left to right.

  1. The wave is travelling from right to left.
  2. The speed of the wave is 20 m/s.
  3. Frequency of the wave is 5.7 Hz.
  4. The least distance between two successive crests in the wave is 2.5 cm.

Speed of sound waves in a fluid depends upon ______.

  1. directty on density of the medium.
  2. square of Bulk modulus of the medium.
  3. inversly on the square root of density.
  4. directly on the square root of bulk modulus of the medium.

A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave on this wire when a tension of 2.06 × 104N is applied?


A wave of frequency υ = 1000 Hz, propagates at a velocity v = 700 m/sec along x-axis. Phase difference at a given point x during a time interval M = 0.5 × 10-3 sec is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×