Question

Even a grapefruit has a de Broglie wavelength. If the grapefruit has been thrown with the speed of 10m/s then estimate its wavelength when the mass of the grapefruit is 50g.​

Answer 1

Let De-Broglie wavelength be $\lambda$.

Now, the general equation of De-Broglie wavelength is as follows:

$\boxed{ \lambda = \dfrac{h}{m \times v} }$

• 'h' is Planck's Constant.

$\implies \lambda = \dfrac{6.63 \times {10}^{ - 34} }{ \dfrac{50}{1000} \times 10 }$

$\implies \lambda = \dfrac{6.63 \times {10}^{ - 34} }{ \dfrac{5}{10} }$

$\implies \lambda = \dfrac{6.63 \times {10}^{ - 34} }{ \dfrac{1}{2} }$

$\implies \lambda = 6.63 \times {10}^{ - 34} \times 2$

$\implies \lambda = 13.26 \times {10}^{ - 34} \: metres$

So , wavelength is 13.26 × 10^(-34) metres.