If the time period of small ripples on the water is $0.1 s$ and their wavelength is $5 cm .$ Which of the following is the speed of the wave?

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

0.8 m / \sec

0.5 m / \sec

0.1 m / \sec

0.6 m / \sec

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

If the time period of small ripples on the water is

0.1 s

and their wavelength is

5 cm .

The speed of the wave is

0.5 m / \sec .

We know that,

Velocity = frequency \times wavelength

Frequency (n) = 1 / time period

\Rightarrow n = 1 / 0.1

\Rightarrow n = 10

Wavelength,

λ = 5 cm = 0.05 m

According to the formula

v = n \times λ

Therefore, speed of the wave

v = 10 \times 0.05

\Rightarrow v = 0.5 m / \sec

The speed of the wave is

0.5 m / \sec .

Watch 3-min video & get full concept clarity