Correct option is A
The given problem involves a sound wave with a frequency of 300 Hz traveling in an unknown medium. The wave travels a distance equal to 150 times its wavelength in time t.
To solve this problem, we need to use the relationship between the speed of the wave (v), wavelength (λ), and frequency (f).
The formula linking these quantities is: v = f * λ
Given:
Frequency, f = 300 Hz
Distance traveled, d = 150 λ
The speed of the wave can also be expressed as: v = d / t
By substituting the value of d in the speed equation, we get: v = 150 λ / t
Since v = f * λ, we can set the two expressions for v equal to each other: 300 λ = 150 λ / t
By simplifying, we find: t = (150 λ) / (300 λ) = 150 / 300 = 0.5 s