Question

What happen to wave length associated with moving particles in its velocity reduce to half. * 1 point (a) Wave length become half (b) Wave length remain same (c) Wave length remain double (d) Wave length zero​

Answer 1

Explanation:

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Answer 2

Answer:

If the velocity of a moving particle reduced to half then the wavelength of associated with moving particles will be doubled.

Therefore, option (c) is correct.

Explanation:

Consider that,  λ₁ is the initial wavelength of the moving particles when the velocity of the particles is 'v'.

According to De-Broglie equation :-

$\lambda = \frac{h}{mv}$

where h is Plank's constant,

and, m is the mass of the particle,

and, v is the velocity with which particle is moving.

When the velocity reduced to half the wavelength becomes  'λ₂' :-

The final wavelength of the particle will be given by:

$\lambda_2=\frac{h}{mv'}$

where v' = v/2 substitute in above equation;

$\lambda_2=\frac{h}{m(v/2)}$

$\lambda_2=2\times \frac{h}{mv}$

$\lambda_2=2 \lambda_1$

Therefore, the wavelength of associated with moving particles becomes double, when its velocity reduce to half.

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