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A progressive wave in a medium is represented by the equation y=0.1sin10πt-511πx where y and x are in cm and t in second. The wavelength and velocity of the wave is

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Important Questions on Waves

MEDIUM
For an electromagnetic wave, which of the following statements is true?
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The correct match between the entries in column I and column II are :

  I   II
  Radiation   Wavelength
a Microwave i 100 m
b Gamma rays ii 10-15m
c A.M. radio iii 10-10m
d X–rays iv 10-3m

 

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A pendulum vibrates with a time period of 1 second. The sound produced in it is in the range of
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Which of the following is not a transverse wave?
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The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is E=E0jcos(ωt-kx). The magnetic field B, at the moment t=0 is:
 
MEDIUM

Match the following:

  Column-I   Column-II
(a) Transverse wave through a steel rod (i) B+43ηρ
(b) Longitudinal waves in earth's crust (ii) ηρ
(c) Longitudinal waves through a steel rod (iii) 2πTgλ
(d) Ripples (iv) λρ
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An electron is constrained to move along the y-axis with a speed of 0.1c (c is the speed of light) in the presence of electromagnetic wave, whose electric field is E=30j^sin1.5×107t-5×10-2x V m-1. where t is in seconds and x is in meters. The maximum magnetic force experienced by the electron will be: (given c=3×108 m s-1 and electron charge =1.6×10-19 C
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A stretched string fixed at both ends has n nodes then the length of the string in terms of wavelength is 
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Assume that the displacement s of air is proportional to the pressure difference Δp created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of airρ and the frequency (f). If Δp=10 Pa, n=300 m s-1, p=1 kg m-3 and  f=1000 Hz, then s will be of the order of (take the multiplicative constant to be 1)
MEDIUM
The driver of bus approaching a big wall notices that the frequency of his bus's horn changes from 420 Hz to 490 Hz when he hears it after it gets reflected from the wall. Find the speed of the bus if speed of the sound is 330 ms1:
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When a sound wave is reflected from the boundary of a denser medium, the compression of the incident wave is returned as:
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A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06×104N. When the tension is changed to T, the velocity changed to v2. The value of T is close to:
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A wave travelling on a string is described by y=πsin10x-πt+π4. All the physical quantities are in SI units. The frequency of the wave is
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To propagate both longitudinal and transverse waves, a material must have
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Which waves are used in sonography?
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The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is,
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In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm, from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m s-1, the tuning fork frequency is :
MEDIUM

The electric field of a plane electromagnetic wave is given by E=E0x^+y^sinkz-ωt. Its magnetic field will be given by

MEDIUM
Given below in the left column are different modes of communication using the kinds of waves given in the right column.
(1) Optical Fibre Communication (P) Ultrasound
(2) Radar (Q) Infrared Light
(3) Sonar (R) Microwaves
(4) Mobile Phones (S) Radio Waves

From the options given below, find the most appropriate match between entries in the left and the right column.