10 questions🇬🇧English
🎸 Stationary Waves – A-level
Physics · A-level — practise nodes and antinodes, harmonics on strings, the frequency formula and progressive vs stationary waves.
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Questions
A stationary wave is formed by the superposition of two progressive waves that:
have the same frequency and travel in the same direction
have different speeds and travel in opposite directions
have different frequencies and travel in the same direction
have the same frequency and travel in opposite directions
20s
In a stationary wave, what is a node?
A point where the amplitude is always zero
A point where two crests always meet
A point where the displacement is zero for an instant
A point where the amplitude is always maximum
20s
What is the distance between two adjacent nodes in a stationary wave of wavelength λ?
λ/4
λ
λ/2
2λ
20s
A string of length 0.60 m, fixed at both ends, vibrates in its first harmonic. What is the wavelength of the stationary wave?
0.30 m
2.40 m
1.20 m
0.60 m
30s
Two points on a stationary wave lie in adjacent loops, one either side of a single node. What is their phase difference?
90° (π/2 rad)
0°
It depends on their distance apart
180° (π rad)
30s
Which statement correctly compares energy transfer in stationary and progressive waves?
Both transfer net energy in the direction of travel
Only the stationary wave transfers net energy along it
Only the progressive wave transfers net energy along it
Neither type of wave carries any energy at all
30s
Microwaves reflected from a metal plate form nodes 1.5 cm apart. Using c = 3.0 × 10⁸ m s⁻¹, what is the frequency?
2.0 × 10¹⁰ Hz
5.0 × 10⁹ Hz
1.0 × 10⁸ Hz
1.0 × 10¹⁰ Hz
60s
A string of length 0.50 m, tension 64 N and mass per unit length 0.010 kg m⁻¹ vibrates in its first harmonic. What is its frequency?
160 Hz
40 Hz
8.0 Hz
80 Hz
60s
A string's first harmonic is 200 Hz. Its tension is quadrupled; L and μ are unchanged. What is the new first harmonic frequency?
100 Hz
283 Hz
400 Hz
800 Hz
30s
A pipe 0.85 m long is closed at one end. The speed of sound is 340 m s⁻¹. What is the frequency of its first harmonic?
100 Hz
200 Hz
400 Hz
50 Hz
30s