Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Dual Nature of Radiation question

2023 · 8 Apr · Shift 1 · Q64
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Dual Nature of Radiation
  5. /2023 · 8 Apr · Shift 1 · Q64

Dual Nature of Radiation question

2023 · 8 Apr · Shift 1 · Q64

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
Proton (P)(\mathrm{P})(P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, mp=1849 me\mathrm{m}_{\mathrm{p}}=1849 \mathrm{~m}_{\mathrm{e}}mp​=1849 me​ ):
  1. A
    1 : 1
  2. B
    1 : 43
  3. C
    1 : 1849
  4. D
    43 : 1
View written solutionFree

Correct answer: A

  1. The de-Broglie wavelength of a particle is
λ=hp\lambda = \frac{h}{p}λ=ph​

where hhh is Planck’s constant and ppp is the momentum of the particle.

  1. For proton (P)(P)(P) and electron (e)(e)(e) to have the same de-Broglie wavelength, we must have
λP=λe\lambda_P = \lambda_eλP​=λe​

So,

hpP=hpe\frac{h}{p_P} = \frac{h}{p_e}pP​h​=pe​h​
  1. Cancelling hhh from both sides:
1pP=1pe\frac{1}{p_P} = \frac{1}{p_e}pP​1​=pe​1​

which gives

pP=pep_P = p_epP​=pe​
  1. Therefore, the ratio of their momenta is
pP:pe=1:1p_P : p_e = 1 : 1pP​:pe​=1:1
  1. Hence, the correct option is:
A: 1:1\boxed{\text{A: } 1:1}A: 1:1​
  1. Comparison with stored answer:
  • Stored correct answer: A
  • Derived answer: A
  • They agree.
PreviousNext

More from Dual Nature of Radiation

  • In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. C. Max. K.E with which…2023 · MCQ
  • The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is λ1​. If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes2023 · MCQ
  • The variation of stopping potential (V0​) as a function of the frequency (v) of the incident light for a metal is shown in figure. The work function of the surface is Includes diagram2023 · MCQ
  • A metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V0​. If the same surface is illuminated with radiation of wavelength 2λ. the stopping potential becomes 4Vo​​. The…2023 · MCQ
  • A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is x×1015 Hz…2023 · Numerical
  • The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume mp​=me​×1849 )2023 · MCQ
  • A proton and an α-particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of their de-Broglie wavelength is :2023 · MCQ
  • The difference between threshold wavelengths for two metal surfaces A and B having work function ϕA​=9 eV and ϕB​=4⋅5 eV in nm is: { Given, hc =1242 eVnm}…2023 · MCQ