Calculate de-Broglie wavelength in nm associated with a ball of mass 66 g moving with a velocity 2.5 x 10⁵ ms^–1. Given h = 6.6 x 10^–34 Js.

Solution

Given,
$Mass of the ball, m = 66 g = 66 \times 10^{- 3} kg Velocity with which the ball is moving, v = 2.5 \times 10^{5} {ms}^{- 1}$

We know,
$λ = \frac{h}{mv}$
$\Rightarrow$ $λ = \frac{6.6 \times 10^{- 34}}{66 \times 10^{- 3} \times 2.5 \times 10^{5}}$
$= 4 \times 10^{- 38} m = \frac{4 \times 10^{- 38}}{10^{- 9}} nm$
i.e., $λ = 4 \times 10^{- 29} nm .$

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Calculate de-Broglie wavelength in nm associated with a ball of mass 66 g moving with a velocity 2.5 x 10⁵ ms^–1. Given h = 6.6 x 10^–34 Js.

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Calculate de-Broglie wavelength in nm associated with a ball of mass 66 g moving with a velocity 2.5 x 10⁵ ms^–1. Given h = 6.6 x 10^–34 Js.