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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

(B)

75

(C)

60

(D)

50

NEET - Medical UG-2014 Easy

Answer & Solution:

\(\Large \lambda =\frac{h}{\sqrt{2mE}}\)  

It is given that kinetic energy of the particle is increased to 16 times

So \(\Large \lambda_{c} =\frac{h}{\sqrt{2m\times 16E}}\) \(\Large =\frac{\lambda }{4}\)   \(\Large =0.25 \, \lambda\)

The % change =  - 75 %  

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Other Questions of the same topic

Q1:

Light with an energy flux of 25 x 10\(\large ^{4}\) wm\(\large ^{-2}\) falls on a perfectly reflecting surface at normal incidence. If the surface area is 15 cm\(\large ^{2}\) , the average force exerted on the surface is:

(A)

\(\large 1.25\: \times 10 ^{-6}\: \: N\)

(B)

\(\large 2.50\: \times 10 ^{-6}\: \: N\)

(C)

\(\large 1.20\: \times 10 ^{-6}\: \: N\)

(D)

\(\large 3.0\: \times 10 ^{-6}\: \: N\)

NEET - Medical UG-2014 Easy

Q2:

When the light of frequency 2\(v_{o}\)(where \(v_{o}\)is threshold frequency), is incident on a metal plate, the maximum velocity of electrons emitted is \(v_{1}\). When the frequency of the incident radiation is increased to 5\(v_{o}\), the maximum  velocity of electrons emitted from the same plate is \(v_{2}\)
. The ratio of \(v_{1}\)to \(v_{2}\) is

(A)

4: 1

(B)

1: 4

(C)

1: 2

(D)

2: 1

NEET - Medical UG-2018 Medium

Q3:

Which colour of the light has the longest wavelength?

(A)

Red

(B)

Blue

(C)

Green

(D)

Violet

NEET - Medical UG-2019 Easy

Q4:

The photoelectric threshold wavelength of silver is 3250 × 10\(\large ^{-10}\) m. The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength 2536 × 10\(\large ^{-10}\) m is

(Given h = 4.14 × 10\(\large ^{-15}\) eVs and c = 3 × 10\(\large ^{8}\) ms\(\large ^{-1}\))

(A)

\(\large \approx \: \: 0.2\times 10^{6}ms^{-1}\)

(B)

\(\large \approx \: \: 61\times 10^{3}ms^{-1}\)

(C)

\(\large \approx \: \: 0.3\times 10^{6}ms^{-1}\)

(D)

\(\large \approx \: \: 6\times 10^{5}ms^{-1}\)

NEET - Medical UG-2017 Medium

Chemistry Biology

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