Question

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 ​

Answer 1

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 2

Answer:

i. 120 Hz

ii. 1/120 sec

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