A wave in a string has an amplitude of 2cm. The wave travels in the +ve direction of x axis with a speed of 128 ms-1 and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is:
y = (0.02)m sin (7.85 x + 1005t)
y = (0.02)m sin (15.7 x - 2010t)
y = (0.02)m sin (15.7 x + 2010t)
y = (0.02)m sin(7.85 x - 1005t)
Equation of progressive wave is given by:
Then which of the following is correct?
v = 5 cm
λ = 18 cm
a = 0.04 cm
ƒ = 50 Hz
Two waves of wavelength 50cm and 51 cm produce 12 beats/s. The speed of sound is:
306 m/s
331 m/s
340 m/s
360 m/s
A standing wave having 3 nodes and 2 antinode is formed between two atoms having a distance 1.21Å between them. The wavelength of the standing wave is:
1.21Å
1.42Å
6.05Å
3.63Å
Two waves are said to be coherent, if they have:
Same phase but different amplitude
Same frequency but different amplitude
Same frequency, phase and amplitude
Different frequency, phase and amplitude
Two waves of same frequency and intensity superimpose on each other in opposite phases. After the superposition, the intensity and frequency of waves will:
Increase
Decrease
Remain constant
Become zero
Equations of two progressive waves are given by y1 = a sin (ωt + ø2). If amplitude and the time period of resultant wave are same as that of both the waves, then (ø1 - ø2) is:
Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second:
12
zero
1
6
Velocity of sound waves in air is 330 m/s. For a particular sound wave in air, path difference of 40 cm is equivalent to phase difference of 1.6 π. The frequency of this wave is:
165 Hz
150 Hz
660 Hz
330 Hz
The equation of a wave is given by
, where x and y are in metre and t in second, then velocity of wave is:
0.1 m/s
10 m/s
100 m/s
1000 m/s