Question

Establish the relation v = nλ between wavelength, frequency and velocity of a wave where symbols have their usual meanings.

Answer 1

Explanation:

E=mc2

E=hc/lambda

so equating these 2 equation we get

mc2=hc/lambda

Answer 2

The relation v = nλ between wavelength, frequency and velocity of a wave has been proved.

Explanation:

The velocity of an object is defined as the total distance travelled by an object per unit time. It is given by :

$v=\dfrac{d}{t}$

In case of a wave, the distance travelled by a wave is given in terms of wavelength. It is the distance between two consecutive crest or trough. Velocity of a wave is given by :

$v=\dfrac{\lambda}{t}$

Since, $\dfrac{1}{t}=n$ (frequency)

$v=n\times \lambda$

Hence, proved.

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