MyQuestionIcon

56

You visited us 56 times! Enjoying our articles? Unlock Full Access!

The De Broglie Explanation

If the kineti...

Question

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is

A

25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

75

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

60

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

50

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 75
$λ = \frac{h}{p} = \frac{h}{\sqrt{2 m E}} (∵ p = \sqrt{2 m E}) λ^{'} = \frac{h}{\sqrt{2 m (16 E)}} = \frac{λ}{4} = 0.25 λ$
% change=-75% ie. De-Broglie wave length will decrease by 75%

Suggest Corrections

thumbs-up

0

Similar questions

Q. If the kinetic energy of the particle is increased to

16

times its previous value. The percentage change in the de-Broglie wavelength of the particle is

Q. If the kinetic energy of a particle is increased by 16 times, the percentage change in the de Broglie wavelength of the particle is:

Q. If the kinetic energy of the particle is increased to

16

times previous the percentage change in the deBrogille wavelength of the particle is

Q. The de-Broglie wavelength and kinetic energy of a particle is

2000 ˚ A

and 1 eV respectively. If its kinetic energy becomes 1 MeV, then its de-Broglie wavelength is

Q. If the energy of a particle is reduced to one fourth, then the percentage increase in its de Broglie wavelength will be :

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

De Broglie's Explanation

PHYSICS

Watch in App

explore_more_icon

Explore more

The De Broglie Explanation

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon