Question

A body of mass 70 kg travels with a speed of 15 km/hour. Calculate the de-Broglie wavelength of
the body

Ans. 2.27 x 10 ^-34..
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Answer 1

Answer:

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Answer 2

Answer:

The wavelength of the body is $2.27\times 10^{-36}m$

Explanation:

Debroglie wavelength:

• The wavelength (λ) associated with a particle in relation to its momentum and mass is known as deBroglie wavelength.
• The de Broglie wavelength is given by

         $\lambda=\dfrac{h}{p}=\dfrac{h}{mv}$

        where p = mv is the momentum of the particle, m is the relativistic mass, v is the velocity and h is the Planck's constant, $6.62 \times 10^{-34} m^2 kg / s$.

Given the mass of a body, m = 70kg

Speed of the body,    

$v=15 \dfrac{km}{hour}=15\times \dfrac{5}{18} \dfrac{m}{s}$

Substituting the given values in the above formula,

$\lambda=\dfrac{h}{mv}=\dfrac{6.62 \times 10^{-34}}{70\times 15\times \dfrac{5}{18}}$

             $=\dfrac{6.62 \times 10^{-34}}{291.67}$

             $=0.0227\times 10^{-34}=2.27\times 10^{-36}m$

Therefore, the wavelength of the body is $2.27\times 10^{-36}m$.

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