Question

2. The wavelength of the vibrations produced on the surface of water is 2 cm. If the wave velocity
is 16 ms-, calculate (i) no. of waves produced in one second (ii) time required to produce
one wave.
[(i) 800 Hz (1) 0.00125 s​

Answer 1

Given,

• Wavelength (λ) = 2 cm ⇒0.02 m
• Velocity (v) = 16 m/s

To Find,

1. No. of waves produced in one second.
2. Time required to produce one wave.

According to question,

Case (I), No. of waves produced in one second.

We know that,

v = λf

We ask to find frequency,

⇒ f = v/λ

[ Put the values ]

⇒ f = 16/0.02

⇒ f = 800 Hz

Case (II), Time required to produce

required to produceone wave.

We know that,

T = 1/f

[ Put the values ]

⇒ T = 1/800

⇒ T = 0.00125 sec

Hence Solved !!

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

• The wavelength of the vibrations produced on the surface of water is 2 cm. If the wave velocity is 16 m/s-

Calculate the following terms -

• No. of waves produced in one second
• Tme required to produce one wave.
• 800 Hz
• 0.00125 s

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\sf{\pink{✧ \: Given \: that}}}}$

• Wavelength of the vibrations produced on the surface of water = 2 cm
• Wave velocity = 16 m/s

$\large{\boxed{\sf{\pink{✧ \: To \: find}}}}$

• Number of waves produced in one second.
• Time required to produce a wave.

$\large{\boxed{\sf{\pink{✧ \: Solution}}}}$

• Number of waves produced in one second = 800 hz
• Time required to produce a wave = 0.00125 seconds

$\large{\boxed{\sf{\pink{✧ \: Full \: solution}}}}$

$\large\purple{\texttt{Let's carry on}}$

$\large\purple{\texttt{According to the question}}$

$\large\blue{\texttt{In case 1}}$ Number of waves produced in one second

$\large\purple{\texttt{We know that,}}$

$\mapsto$ v = wavelength × f

$\large\purple{\texttt{We have to find frequency so,}}$

$\mapsto$ f = v / wavelength

$\large\gray{\texttt{We have to put the values now}}$

$\mapsto$ f = 16/0.02

$\mapsto$ f = 800 hz

$\large\blue{\texttt{In case 2}}$ Time required to produce a wave

$\large\purple{\texttt{We know that,}}$

$\mapsto$ T =1/f

$\large\gray{\texttt{We have to put the values now}}$

$\mapsto$ T = 1/800

$\mapsto$ T = 0.00125 seconds

Answers are given below again

$\large{\boxed{\boxed{\sf{Case \: 1 \: = 800 \: hz}}}}$

$\large{\boxed{\boxed{\sf{Case \: 2 \: = 0.000125 \: seconds}}}}$

Hence, the given question is solved !

@Itzbeautyqueen23

Hope it's helpful

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