Question

=> A ball of 100 g mass is thrown with a velocity of 100m/s . The wavelength of the de broglie wave associated with the ball is about...

a) 6.63 × 10-³⁵ m
b) 6.63 × 10-³⁰ m
c) 6.63 × 10-³⁵ cm
d) 6.63 × 10-³³ m ​

Answer 1

Given :-

• Mass = 100 g = 0.1 kg
• Speed = 100 m/s

Solution:-

De-Broglie wavelength λ for wave association with object of mass m moving with velocity v is given by-

`\boxed{\sf{\lambda = (h)/(mv)}}`

Here, h = Planck constant( value ≈ 6.63 ×10-³⁴ joules second )

Putting Values -

λ = 6.63×10-³⁴/100×0.1

=>6.63×10-³⁴/10

=>6.63 × 10-³⁵ m

Thus, option (a) is correct.