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 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
The wave described by
y = 0.25 sin (10πx - 2πt),
where x and y are in metre and t in second, is a wave travelling along the
-ve x direction with frequency 1 Hz
+ve x direction with frequency π Hz and wavelength λ = 0.2 m
+ve x direction with frequency 1 Hz and wavelength λ = 0.2m
-ve x direction with amplitude 0.25m and wavelength λ = 0.2m.
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)
The equation of a sound wave is given as y = 0.005 sin (62.4x + 316t). The wavelength of this wave is:
0.4 unit
0.3 unit
0.2 unit
0.1 unit
Which of the following equation represents a wave?
y = a sin ωt
y = a cos kx
y = a sin (ωt - bx + c)
y = a sin (ωt - kx)
A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of incident ( and reflected) wave are :
5 m/s
10 m/s
20 m/s
40 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
In a sinusoidal wave, the time required for a particular point, to move from maximum displacement to zero displacement is 0.170 s. The frequency of the wave is:
1.47 Hz
0.36 Hz
0.73 Hz
2.94 Hz
The driver of a car travelling with speed 30 ms-1 towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 ms-1, the frequency of reflected sound as heard by driver is:
550 Hz
555.5 Hz
720 Hz
500 Hz
