Standing waves are produced in a 10m long stretched string. If the string vibrates in 5 segments and the wave velocity is 20 m/s, the frequency is:
10 Hz
5 Hz
4 Hz
2 Hz
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.
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)
For production of beats the two sources must have:
Different frequencies and same amplitude
Different frequencies
Different frequencies, same amplitude and same phase
Different frequencies and same phase
A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is 4.2 MHz. The speed of sound in a tissue is 1.7 km/s. The wavelength of sound in tissue is close to:
4 x 10-4 m
8 x 10-4 m
4 x 10-3 m
8 x 10-3 m
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
What is the effect of humidity on sound waves when humidity increases?
Speed of sound waves increases
Speed of sound waves decreases
Speed of sound waves remains same
Speed of sound waves becomes zero
A 5.5 m length of string has a mass of 0.035 kg. If the tension in the string is 77 N, the speed of a wave on the string is:
110 ms-1
165 ms-1
77 ms-1
102 ms-1
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 transverse wave represented by the equation will have :
Amplitude = 4π
Speed of propagation = 5
