Equation of a progressive wave is given by y=4sinπt5x9+π6

Then which of the following is correct ?

(1) v = 5 m / sec

(2) λ = 18 m

(3) a = 0.04 m

(4) n = 50 Hz

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The frequency of the sinusoidal wave y=0.40cos[2000t+0.80x] would be :

(1) 1000 π Hz

(2) 2000 Hz

(3) 20 Hz

(4) 1000πHz

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The equation of a plane progressive wave is given by y=0.025sin(100t+0.25x). The frequency of this wave would be :

(1) 50πHz

(2) 100πHz

(3) 100 Hz

(4) 50 Hz

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In the given progressive wave equation, what is the maximum velocity of particle Y=0.5sin(10πt5x)cm 

(1) 5 cm/s

(2) 5π cm/s

(3) 10 cm/s

(4) 10.5 cm/s

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Two waves of frequencies 20 Hz and 30 Hz travel out from a common point. The phase difference between them after 0.6 sec is :

(1) Zero

(2) π2

(3) π

(4) 3π4

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A simple harmonic progressive wave is represented by the equation : y=8sin2π(0.1x2t) where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is :

(1) 18°

(2) 36°

(3) 54°

(4) 72°

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The equation of progressive wave is y=asin(200tx). where x is in meter and t is in second. The velocity of wave is :

(1) 200 m/sec

(2) 100 m/sec

(3) 50 m/sec

(4) None of these

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A wave equation that gives the displacement along y-direction is given by y=0.001sin(100t+x) where x and y are in meter and t is time in seconds. This represented a wave :

(1) Of frequency 100πHz

(2) Of wavelength one metre

(3) Traveling with a velocity of 50πms–1 in the positive X-direction

(4) Traveling with a velocity of 100 ms–1 in the negative X-direction

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A wave travelling in positive X-direction with A = 0.2 m has a velocity of 360 m/sec. if λ = 60 m, then the correct expression for the wave is :

(1) y=0.2sin2π6t+x60

(2) y=0.2sinπ6t+x60

(3) y=0.2sin2π6t-x60

(4) y=0.2sinπ6t-x60

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Two waves represented by the following equations are travelling in the same medium y1=5sin2π(75t0.25x), y2=10sin2π(150t0.50x)

The intensity ratio I1/I2 of the two waves is :

(1) 1 : 2

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

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