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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 i
Question

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:

A.

0.5 s

B.

1s

C.

1.5 s

D.

2 s

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

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