Question

Calculate the de broglie wavelength of a ball of mass 0.2 kg and velocity 20 m/s

Answer 1

Answer:

According to DE BROGLIE wavelength is inversely proportional to the momentum of the particle.

here, m=0.2 kg and v= 20m/s

p=mv=4kgms^-1

de Broglie wavelength = h/mv (where h is planks constant and

h=6.626×10^-34Js)

=6.626×10^-34/4 m

=2.652×10^-34 m (aprox.)

Answer 2

Answer:

De broglie wavelength of the given ball is = $1.66*10^{-34}m$

Explanation:

De Broglie wavelength of a body is given by the formula,

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

where, $\lambda$ denotes de broglies wavelength,

$h$ is the Planck's constant and has the value = $6.64*10^{-34}$

$m$ is the mass of the object,

$v$ is the velocity of the object.

In the question it is given that:

mass of ball, $m=0.2kg$

speed of the ball, $v=20m/s$

Therefore, $\lambda = \frac{h}{mv} = \frac{6.64*10^{-34}}{0.2*20}$

$\lambda = 1.66*10^{-34}$

De broglie wavelength of the given ball is = $1.66*10^{-34}m$

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