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 Multiple Choice QuestionsMultiple Choice Questions

121.

The kinetic energy of an electron is 5eV. Calculate the de-Broglie wavelength associated with it (h=6.6×10-34 Js, me =9.1×10-31 kg)

  • 5.47Ao

  • 10.9Ao

  • 2.7Ao

  • None of these


122.

Radius of first Bohr orbit is r. What is the radius of 2nd Bohr orbit ?

  • 8 r

  • 2 r

  • 4 r

  • 22 r


123.

Copper has face-centred cubic ( FCC ) lattice with interatomic spacing equal to 2.54 A. The value of lattice constant for this lattice is

  • 1.27 Ao

  • 5.08 Ao

  • 2.54 Ao

  • 3.59 Ao


124.

J.J. Thomson's cathode ray tube experiment demonstrated- that

  • cathode rays are streams of negatively charged ions

  • all the mass of an atom is essentially in the nucleus

  • the e/m of electrons is much greater than the e/m of protons.

  • the e/m ratio of the cathode ray particles changes when a different gas is placed in the discharged tube


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125.

Wavelength of light emitted from second orbit to first orbit in a hydrogen atom is

  • 6563 Ao

  • 4102 Ao

  • 4861 Ao

  • 1215 Ao


126.

If λ1 and λ2 are the wavelengths of the first members of the Lyman and Paschen series respectively, then λ1 : λ2 is

  • 1:3

  • 1: 30

  • 7: 50

  • 7: 108


127.

Minimum excitation potential of Bohr's first orbit in hydrogen atom is

  • 3.6 V

  • 10.2 V

  • 13.6 V

  • 3.4 V


128.

Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atom on the ground state rarely excited by monochromatic radiation of photon 12.1 eV. The special line emitted by a hydrogen atom according to Bohr's theory will be

  • one

  • two

  • three

  • four


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129.

According to Bohr's model of hydrogen atom, relation between principal quantum number n and radius of stable orbit is

  • r ∝ 1n

  • r ∝ n

  • r ∝ 1n2

  • r ∝ n2


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130.

The de-Broglie wavelength of electron falling on the target in an X-ray tube is),. The cut-off wavelength of the emitted X-ray is

  • λ0 =  m c λ 2h

  • λ0 = m2 h2

  • λ0 = 2 mc λ2h

  • λ0 = m c λ2h2


C.

λ0 = 2 mc λ2h

The de-Broglie wavelength is given by

       λ = hp = h2m E                  .... (i)

where, E is the energy of the electron. The cut-off wavelength λ0 is given by

       λ0 = h cE                              ....(ii)

From Eq. (i),

       λ2h22 mE

⇒     E = h22 m λ2                           ....(iii)

Substituting the value of E from Eq. (ii), we get

      λ0 = h ch22 2

     λ02 m 2h


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