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Atoms · Question 31

AIPMT 2011 (Mains)MCQMedium📈 Topic in 12% papers+4−1
1

An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, then the value of n is

  1. 2
  2. 3
  3. 4
  4. 5

Answer

(3) 4

Solution

Maximum kinetic energy of photoelectrons = eV0 = 10 eV.

Energy of the incident photon E = 0 + eV0 = 2.75 + 10 = 12.75 eV

For a jump from n to 1 in hydrogen: E = 13.6 (1 - 1n2 ) eV

1 - 1n2 = 12.7513.6 = 0.9375

1n2 = 0.0625 = 116

n = 4

Answer: (3)

AIPMT 2011 (Mains)

Keep practising — Atoms

2

Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr's atomic model?

  1. 0.65 eV
  2. 1.9 eV
  3. 11.1 eV
  4. 13.6 eV
AIPMT 2011 (Mains)
3

The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The atomic number Z of hydrogen-like ion is

  1. 3
  2. 4
  3. 1
  4. 2
AIPMT 2011 (Prelims)
4

The energy of a hydrogen atom in the ground state is -13.6 eV. The energy of a He+ ion in the first excited state will be

  1. -13.6 eV
  2. -27.2 eV
  3. -54.4 eV
  4. -6.8 eV
AIPMT 2010 (Prelims)
5

The energy of a hydrogen atom in the ground state is -13.6 eV. The energy of a He+ ion in the first excited state will be

  1. -13.6 eV
  2. -27.2 eV
  3. -54.4 eV
  4. -6.8 eV
AIPMT 2010 (Prelims)
6

An alpha nucleus of energy 12mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

  1. 1Ze
  2. v2
  3. 1m
  4. 1v4
AIPMT 2010 (Prelims)
7

In a Rutherford scattering experiment when a projectile of charge z1 and mass M1 approaches a target nucleus of charge z2 and mass M2, the distance of closest approach is r0. The energy of the projectile is

  1. directly proportional to z1 z2
  2. inversely proportional to z1
  3. directly proportional to mass M1
  4. directly proportional to M1 M2
AIPMT 2009
8

The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between

  1. n = 3 to n = 1 states
  2. n = 2 to n = 1 states
  3. n = 4 to n = 3 states
  4. n = 3 to n = 2 states
AIPMT 2009
9

In the phenomenon of electric discharge through gases at low pressure, the coloured glow in the tube appears as a result of

  1. collisions between the charged particles emitted from the cathode and the atoms of the gas
  2. collision between different electrons of the atoms of the gas
  3. excitation of electrons in the atoms
  4. collision between the atoms of the gas
AIPMT 2008
10

The ground state energy of hydrogen atom is -13.6 eV. When its electron is in the first excited state, its excitation energy is

  1. 10.2 eV
  2. 0
  3. 3.4 eV
  4. 6.8 eV
AIPMT 2008
11

The total energy of electron in the ground state of hydrogen atom is -13.6 eV. The kinetic energy of an electron in the first excited state is

  1. 6.8 eV
  2. 13.6 eV
  3. 1.7 eV
  4. 3.4 eV
AIPMT 2007

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