A sub-atomic particle of mass is moving with a velocity . Under the matter wave consideration, the particle will behave closely like __________. () [2025]

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Solution

Q.
A sub-atomic particle of mass $10^{- 30} kg$ is moving with a velocity $2.21 \times 10^{6} m / s$ . Under the matter wave consideration, the particle will behave closely like __________.

( $h = 6.63 \times 10^{- 34} Js$ ) [2025]

1 Infra-red radiation

2 X-ray

3 Gamma rays

4 Visible radiation

Ans.
(2)

$λ = \frac{h}{p} = \frac{6.63 \times 10^{- 34}}{10^{- 30} \times 2.21 \times 10^{6}}$

$= 3 \times 10^{- 10} m = 3 \overset{\circ}{A} \Rightarrow X - ray$

Hence, particle will behave as X-ray.

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