A sound wave has a frequency of 1 kHz and wavelength 50 cm. How long w

A sound wave has a frequency of 1 kHz and wavelength 50 cm. How long will it take to travel 1 km?

[amp_mcq option1=”5 s” option2=”4 s” option3=”3 s” option4=”2 s” correct=”option4″]

This question was previously asked in

UPSC NDA-1 – 2022

The correct answer is 2 seconds. The time taken to travel a certain distance can be calculated if the velocity of the wave is known.

– The relationship between the velocity (v), frequency (f), and wavelength (λ) of a wave is given by the formula v = fλ.
– Given frequency f = 1 kHz = 1000 Hz.
– Given wavelength λ = 50 cm = 0.50 m.
– Velocity v = (1000 Hz) × (0.50 m) = 500 m/s.
– Distance to be travelled = 1 km = 1000 m.
– Time taken (t) = Distance / Velocity.
– t = 1000 m / 500 m/s = 2 seconds.

Frequency is the number of wave cycles passing a point per second, measured in Hertz (Hz). Wavelength is the distance between two consecutive corresponding points on a wave. Velocity is the speed at which the wave propagates through the medium.

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