Question

A particle of mass 10 mg is moving with a speed of
150 m/s. The wavelength associated with the particle
is (h = 6.625 x 10-34 Js)
2.25 x 10-32 m
4.4 x 10-31
m
3.25 x 10-33 m
2.75 x 10-28 m​

Answer 1

Answer:

4.4×10-31 m...................

Answer 2

Given :

• Mass of particle = 10mg
• Speed of particle = 150m/s

To find :

Wavelength associated with particle

Formula used :

$\sf \: \lambda \: = \: \dfrac{h}{mv}$

Here,

• λ = Wavelength associated
• m = mass of particle
• v = speed of particle
• h = Planck's constant

Solution :

First of all we need to find mass with SI unit { that is kg }

1 mg = 10⁻⁶ kg

10 mg = 10 × 10⁻⁶ kg

10 mg = 10⁻⁵ kg

Now ,

mass = 10⁻⁵ kg

speed = 150 m/s

h = 6.625 × 10⁻³⁴ Js

$\sf \implies \: \lambda \: = \: \dfrac{6.625 \times {10}^{ - 34} }{ {10}^{ - 5} \times 150} \: m \\ \\ \sf \implies \: \lambda \: = \: \dfrac{6.625}{15} \times {10}^{ (- 34 - ( - 5) - 1)} \: m \: \\ \\ \sf \implies \lambda \: = \: 0.44 \times {10}^{ - 30} \: m \: \\ \\ \sf \implies \lambda \: = \: 4.4 \times {10}^{ - 31} \: m \:$

ANSWER :

Wavelength associated with particle ( λ ) = 4.4 × 10⁻³¹ m