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 and Matter question

2008 · Q138
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. /NEET
  3. /Physics
  4. /Dual Nature of Radiation and Matter
  5. /2008 · Q138

Dual Nature of Radiation and Matter question

2008 · Q138

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 ×\times× 106 m s−-−1. The velocity of the particle is
  1. A
    3 ×\times× 10−-−31 ms−-−1
  2. B
    2.7×10−21 ms−12.7 \times {10^{ - 21}}\,m{s^{ - 1}}2.7×10−21ms−1
  3. C
    2.7 ×\times× 10−-−18 ms−-−1
  4. D
    9 ×\times× 10−-−2 ms−-−1
View written solutionFree

Correct answer: C

de-Broglie wavelength associated with electron moving with velocity ν,

λ\lambda λ = hmv{h \over {mv}}mvh​

So, λ\lambda λe = h9.1×10−31×3×106{h \over {9.1 \times {{10}^{ - 31}} \times 3 \times {{10}^6}}}9.1×10−31×3×106h​

Wavelength of particle of mass 1 mg moving with velocity ν.

λ\lambda λp = h10−6×v{h \over {{{10}^{ - 6}} \times v}}10−6×vh​

As given, λ\lambda λe = λ\lambda λp

⇒\Rightarrow⇒ h9.1×10−31×3×106{h \over {9.1 \times {{10}^{ - 31}} \times 3 \times {{10}^6}}}9.1×10−31×3×106h​ = h10−6×v{h \over {{{10}^{ - 6}} \times v}}10−6×vh​

⇒\Rightarrow⇒ v = 27.3×10−2510−6{{27.3 \times {{10}^{ - 25}}} \over {{{10}^{ - 6}}}}10−627.3×10−25​ = 2.7×10−18 ms−12.7 \times {10^{ - 18}}\,m{s^{ - 1}}2.7×10−18ms−1

PreviousNext

More from Dual Nature of Radiation and Matter

  • The work function of a surface of a photosensitive material is 6.2 eV. The wavelength of the incident radiation for which the stopping potential is 5 V lies in the2008 · MCQ
  • In the phenomenon of electric discharge through gases at low pressure, the coloured glow in the tube appears as a result of2008 · MCQ
  • Monochromatic light of frequency 6.0 × 1014 Hz is produced by a laser. The power emitted is 2 × 10−3 W. The number of photons emitted, on the average, by the source per second is2007 · MCQ
  • A beam of electron passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move2007 · MCQ
  • A 5 watt source emits monochromatic light of wavelength 5000 A∘​. When placed 0.5 m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0 m, the…2007 · MCQ
  • A photocell employs photoelectric effect to convert2006 · MCQ
  • When photons of energy hυ fall on an aluminimum plate (of work function E0), photoelectrons of maximum kinetic energy K are ejected. If the frequency of radiation is doubled, the maximum kinetic energy of the ejected…2006 · MCQ
  • In a discharge tube ionization of enclosed gas is produced due to collisions between2006 · MCQ