### NEET Solved Paper 2014 Question 40

##### 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 [AIPMT 2014]

#### Options:

A) 25

B) 75

C) 60

D) 50

## Show Answer

#### Answer:

Correct Answer: B

#### Solution:

For de-Broglie wavelength $ {\lambda_1}\frac{h}{p}=\frac{h}{\sqrt{2mK}}, $ .(i)

$ {\lambda_2}=\frac{h}{\sqrt{2m16K}}=\frac{h}{4\sqrt{2mK}}=\frac{{\lambda_1}}{4} $ (ii)

$ {\lambda_2}=$25%,of,${\lambda_1} $ There is 75% change in the wavelength.