Question

the de broglie wavelength associated with a ball of mass 200g moving with speed 40m/s​

Answer 1

Explanation:

$λ = \frac{h}{mv} \\ λ = \frac{6.6 \times {10}^{ - 34} }{0.2 \times 40} \\ </p><p>λ = 8.25 \times {10}^{ - 37}m$

Answer 2

As per the data given in the above question.

We have to find the de broglie's wavelength.

Explanation:

Given,

Mass, m= 200 g or 0.2 kg

Speed,v= 40 m/s

According to de broglie's wavelength,

$λ = \frac{h}{m \times v} \: \: \: \: \: ...(1)$

Where,

λ= de broglie's wavelength

h= Planck's constant= 6.6×10-³⁴

m= mass = 0.2 kg

v= 40 m/s

Put the values in equation (1)

$λ = \frac{6.6 \times {10}^{ - 34} }{0.2 \times 40}$

$λ = \frac{66 \times 10\times {10}^{ - 34} }{2 \times 10 \times 40}$

$λ = \frac{66 \times {10}^{ - 34} }{80}$

$λ = \frac{66}{80} \times {10}^{ - 34}$

$λ = 0.825 \times {10}^{ - 34}$

or

$λ = 8.25 \times {10}^{ - 37}$

Project code #SPJ3