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Atoms · Question 36

AIPMT 2010 (Prelims)MCQEasy📈 Topic in 0% papers+4−1
1

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

Answer

(3) 1m

Solution

At the distance of closest approach r0, the whole kinetic energy becomes electrostatic potential energy:

12mv2 = 14 0 (2e)(Ze)r0

r0 = 4Ze24 0 mv2

r0 Ze, r0 1v2 and r0 1m

Answer: (3)

AIPMT 2010 (Prelims)

Keep practising — Atoms

2

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
3

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
4

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
5

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
6

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
7

Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be

  1. one
  2. two
  3. three
  4. four
AIPMT 2006
8

The total energy of an electron in the first excited state of hydrogen atom is about -3.4 eV. Its kinetic energy in this state is

  1. 3.4 eV
  2. 6.8 eV
  3. -3.4 eV
  4. -6.8 eV
AIPMT 2005
9

Energy levels A, B and C of a certain atom corresponding to increasing values of energy i.e. EA < EB < EC. If 1, 2 and 3 are wavelengths of radiations corresponding to transitions C to B, B to A and C to A respectively, which of the following relations is correct?

  1. 3 = 1 + 2
  2. 3 = 1 2 1 + 2
  3. 1 + 2 + 3 = 0
  4. 32 = 12 + 22
AIPMT 2005
10

The Bohr model of atoms

  1. Assumes that the angular momentum of electrons is quantized.
  2. Uses Einstein's photoelectric equation.
  3. Predicts continuous emission spectra for atoms.
  4. Predicts the same emission spectra for all types of atoms.
AIPMT 2004
11

In which of the following systems will the radius of the first orbit (n = 1) be minimum?

  1. doubly ionized lithium
  2. singly ionized helium
  3. deuterium atom
  4. hydrogen atom
AIPMT 2003

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