Physics · Wave Motion and Sound
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Speed of the waves is equal to:
- A
fλ
- B
λ/T
- C
Both A and B
- D
λT
Explanation:
The speed of a wave can be calculated using the formula:
v = fλ
where v is the wave speed, f is the frequency of the wave, and λ is the wavelength of the wave.
As we know that:
f = 1/T
So,
v = λ/T
Where T is the period of the wave.
Hence the speed of the wave is equal to fλ and λ/T.
This formula correctly represents the speed of a wave, where f is the frequency and λ is the wavelength.
This formula is also correct because the frequency f is the reciprocal of the period T, i.e., f = 1/T.
Both formulas fλ and λ/T correctly represent the wave speed, making this option correct.
This formula is incorrect as it does not represent wave speed. Multiplying wavelength by the period does not yield a correct dimension for speed.
Tagged under Physics · Wave Motion and Sound · 2009