EASY
11th ICSE
IMPORTANT
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A simple harmonic wave having an amplitude A and time-period T is represented by the equation, y=5 sin πt+4 metre. Then, the values of A (in metre) and T (in second) are :

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Important Questions on Progressive Harmonic Waves

EASY
11th ICSE
IMPORTANT
Equation of a wave motion (with t in second and x in metre) is given by, y=7 sin7πt-0.04πx+π3. The velocity of the wave is given by :
EASY
11th ICSE
IMPORTANT

A transverse sinusoidal wave moves along a string in the positive X-direction at a speed of 10 cm s-1. The wavelength of the wave is 0.5 m and its amplitude is 10 cm . At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is -

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EASY
11th ICSE
IMPORTANT
A wave travelling along the X-axis is described by the equation y (x,t) = 0.005 cosαx-βt. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β  in appropriate units are :
EASY
11th ICSE
IMPORTANT
A travelling wave in a stretched string is described by the equation y=A sin (kx - ωt). The maximum particle velocity is :
MEDIUM
11th ICSE
IMPORTANT
The equation of a transverse wave is y=y0 sin 2πft-xλ. The maximum particle velocity is four times that of wave velocity, if :
EASY
11th ICSE
IMPORTANT
The displacement y (in cm) produced by a simple harmonic wave is given by y=10π sin2000πt -πx17. The periodic time and the maximum velocity of the particles in the medium will respectively be :
EASY
11th ICSE
IMPORTANT
When a sound wave of frequency 300 hertz passes through a medium, the maximum displacement of a particle of the medium is  0.1 cm. The maximum velocity of the particle is :
MEDIUM
11th ICSE
IMPORTANT
A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on a stretched string. The maximum speed of any point on the string is v10, where v is the speed of propagation of the wave. If  a = 10-3 m and v=10 ms-1, then λ and f are given by :