The wavelength of waves produced on the surface of
water is 20 cm. If the wave velocity is 24 m s-1,
calculate : (i) the number of waves produced in one
second, and (ii) the time in which one wave is
produced
Answers
Answer:
1) 120 Hz
2) 1 / 120 Sec
Explanation:
Given------> Wavelength of waves produced on the surface of water is 20Cm and wave velocity is 24 m/s .
To find ------> 1) The number of waves produced in one second
2) The time in which one wave is produced
Solution-------> ATQ ,
Wavelength of wave produced = 20 Cm
=> λ = 20 Cm
=> λ = 20 × 10⁻² m
Wave velocity = 24 m / sec
We know that ,
v = n × λ
Where , v = Velocity of wave
n = Frequency of wave
λ = Wavelength of wave
=> 24 = n × 20 × 10⁻²
=> n = 24 / 20 × 10⁻²
=> n = 6 × 10² / 5
=> n = 1.2 × 100
=> n = 120 Hz
We know that , frequency is number of waves produced in one second .
So ,
number of waves produced in one second = 120
2) We know that ,
T = 1 / n
Where , T = time period and n = frequency
=> T = 1 / 120 Sec
We know that , time period is equal to the time taken in producing one wave
So time in which one wave is produced
= 1 / 120 Sec
Answer:
i. 120 Hz
ii. 1/120 sec
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