Question

The time taken for 25oscillations is 5sec.If the wavelength of the wave is 2m, find the velocity of the wave t

Answer 1

Answer:

Given:

Time taken for 25 Oscillations = 5 sec.

Wavelength = 2 metres.

To find:

Velocity of the wave

Calculation :

First of all, we need to calculate the Frequency of the wave.

So, as per the question, the wave makes 25 oscillations in 5 seconds.

So, in 1second, it makes = 5 oscillation.

Hence frequency = 5 Hz.

Now, velocity is given as follows :

$vel. = freq. \times wavelength$

$= > vel. = 5 \times 2$

$= > vel. = 10 \: m {s}^{ - 1}$

So final answer is :

$\boxed{ \blue{velocity = 10 \: m {s}^{ - 1}}}$

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Number of Oscillations = 25
• Time for 1 Oscillation = 5 s
• Wave Length = 2 m

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

If Number of Oscillations is 25 in 50 seconds

So,

Number of Oscillations per sec = 25/5 = 5

So, Frequency is 5 Hz

$\rule{200}{1}$

$\large \star {\boxed{\sf{v \: = \: \nu \: \times \: \lambda}}} \\ \\ \implies {\sf{v \: = \: 5(2)}} \\ \\ \implies {\sf{v \: = \: 10 }} \\ \\ \implies {\boxed{\sf{v \: (Speed) \: = \: 10 \: ms^{-1}}}}$