A sound wave having frequency of 300 Hz is travelling in an unknown medium. Its wavelength is not known. It travels a distance equal to 150 times its wavelength in time t. The value of t is :
[amp_mcq option1=”0.5 s” option2=”1 s” option3=”1.5 s” option4=”2 s” correct=”option1″]
This question was previously asked in
UPSC CDS-2 – 2024
– The distance travelled (d) is given as 150 times the wavelength: d = 150λ.
– The relationship between speed, distance, and time (t) is v = d / t.
– Combining these equations, we get: f * λ = (150λ) / t.
– We can cancel out λ from both sides (assuming λ is non-zero): f = 150 / t.
– We are given the frequency f = 300 Hz.
– Rearranging the equation to find t: t = 150 / f.
– Substituting the value of f: t = 150 / 300 = 0.5 s.