The graph that correctly represents the relation of frequency v of a particular characteristic X-ray with the atomic number Z of the material is

  • 1
  • 2
  • 3
  • 4

If in nature there may not be an element for which the principal quantum number n > 4, then the total possible number of elements will be

  • 60                   

  • 32

  • 4                     

  • 64

In the nth orbit, the energy of an electron is En=-13.6n2eV for the hydrogen atom. The energy required to take the electron from the first orbit to the second orbit will be:

  • 10.2 eV

  • 12.1 eV 

  • 13.6 eV

  • 3.4 eV 

The Lyman series of hydrogen spectrum lies in the region

  • Infrared               

  • Visible

  • Ultraviolet             

  • X- rays

Which one of the series of hydrogen spectrum is in the visible region 

  • Lyman series             

  • Balmer series

  • Paschen series           

  • Bracket series

The Rutherford α-particle experiment shows that most of the α-particles pass through almost unscattered while some are scattered through large angles. What information does it give about the structure of the atom 

  • Atom is hollow

  • The whole mass of the atom is concentrated in a small centre called nucleus

  • Nucleus is positively charged

  • All the above

Which of the following is true 

  • Lyman series is a continuous spectrum

  • Paschen series is a line spectrum in the infrared

  • Balmer series is a line spectrum in the ultraviolet

  • The spectral series formula can be derived from the Rutherford model of the hydrogen atom

The energy required to knock out the electron in the third orbit of a hydrogen atom is equal to

  • 13.6 eV           

  • +13.69eV

  •  -13.63eV      

  • -313.6eV

An electron has a mass of 9.1×10-31 kg. It revolves round the nucleus in a circular orbit of radius 0.529×10-10 metre at a speed of 2.2×106 m/s. The magnitude of its linear momentum in this motion is

  • (a) 1.1×10-34 kg-m/s            
  • (b) 2.0×10-24 kg-m/s 
  • (c) 4.0×10-24 kg-m/s           
  • (d) 4.0×10-31 kg-m/s

The ionization potential for second He electron is

  • 13.6 eV                 

  • 27.2 eV

  • 54.4 eV                 

  • 100 eV

The energy required to remove an electron in a hydrogen atom from n = 10 state is 

  • 13.6 eV                   

  • 1.36 eV

  • 0.136 eV                 

  • 0.0136 eV

Every series of hydrogen spectrum has an upper and lower limit in wavelength. The spectral series which has an upper limit of wavelength equal to 18752 Å is 

(Rydberg constant R = 1.097×107 per metre)

  • Balmer series               

  • Lyman series

  • Paschen series               

  • Pfund series

An electron jumps from the 4th orbit to the 2nd orbit of hydrogen atom. Given the Rydberg's constant R = 105 cm-1. The frequency in Hz of the emitted radiation will be 

  • () 316×105          
  • () 316×1015
  • () 916×1015         
  • () 34×1015

The ionisation potential of hydrogen atom is 13.6 volt. The energy required to remove an electron in the n = 2 state of the hydrogen atom is 

  • () 27.2 eV               
  • () 13.6 eV
  • () 6.8 eV                 
  • () 3.4 eV

A beam of fast moving alpha particles were directed towards a thin film of gold. The parts A', B', and C' of the transmitted and reflected beams corresponding to the incident parts A, B and C of the beam, are shown in the adjoining diagram. The number of alpha particles in

        

  • B' will be minimum and in C' maximum

  • A' will be maximum and in B' minimum

  • A' will be minimum and in B' maximum

  • C' will be minimum and in B' maximum

If m is mass of electron, v its velocity, r the radius of stationary circular orbit around a nucleus with charge Ze, then from Bohr's first postulate, the kinetic energy K=12mv2 of the electron in C.G.S. system is equal to

  •  12Ze2r                             

  • 12Ze2r2

  • Ze2r                                 

  • Ze2r2

The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true 

  • Its kinetic energy increases and its potential and total energies decrease

  • Its kinetic energy decreases, potential energy increases and its total energy remains the same

  • Its kinetic and total energies decrease and its potential energy increases

  • Its kinetic, potential and total energies decreases

Figure shows the energy levels P, Q, R, S and G of an atom where G is the ground state. A red line in the emission spectrum of the atom can be obtained by an energy level change from Q to S. A blue line can be obtained by following energy level change 

  • P to Q

  • Q to R

  • R to S

  • R to G

A hydrogen atom (ionisation potential 13.6 eV) makes a transition from third excited state to first excited state. The energy of the photon emitted in the process is 

  • (1) 89 eV               

  • (2) 55 eV

  • (3) 12.09 eV             

  • (4) 12.75 eV

The figure indicates the energy level diagram of an atom and the origin of six spectral lines in emission (e.g. line no. 5 arises from the transition from level B to A). The following spectral lines will also occur in the absorption spectrum

  • () 1, 4, 6                     

  • () 4, 5, 6
  • () 1, 2, 3                     
  • () 1, 2, 3, 4, 5, 6

An electron in the n = 1 orbit of hydrogen atom is bound by 13.6 eV. If a hydrogen atom is in the n = 3 state, how much energy is required to ionize it 

  • 13.6 eV                     

  • 4.53 eV

  • 3.4 eV                       

  • 1.51 eV

Which of the following statements about the Bohr model of the hydrogen atom is false 

  • Acceleration of electron in n = 2 orbit is less than that in n = 1 orbit

  • Angular momentum of electron in n = 2 orbit is more than that in n = 1 orbit

  • Kinetic energy of electron in n = 2 orbit is less than that in n = 1 orbit

  • Potential energy of electron in n = 2 orbit is less than that in n = 1 orbit

The ratio of the frequencies of the long wavelength limits of Lyman and Balmer series of hydrogen spectrum is

  • 27 : 5                   

  • 5 : 27

  • 4 : 1                     

  • 1 : 4

Which of the following transitions in a hydrogen atom emits photon of the highest frequency

  • n = 1 to n = 2               

  • n = 2 to n = 1

  • n = 2 to n = 6               

  • n = 6 to n = 2

Which of the transitions in hydrogen atom emits a photon of lowest frequency (n = quantum number)

  • n = 2 to n = 1             

  • n = 4 to n = 3

  • n = 3 to n = 1             

  • n = 4 to n = 2

According to Bohr's theory, the expressions for the kinetic and potential energy of an electron revolving in an orbit is given respectively by

  • ()+e28πε0r and  -e24πε0r           
  • () +8πε0e2r and -4πε0e2r
  • () -e28πε0r and -e24πε0r           
  • () +e28πε0r and +e24πε0r

The absorption transitions between the first and the fourth energy states of hydrogen atom are 3. The emission transitions between these states will be 

  • 3             

  • 4

  • 5             

  • 6

The ratio of longest wavelength and the shortest wavelength observed in the five spectral series of emission spectrum of hydrogen is 

  • 43             

  • 525376

  • 25

  • 90011

In Bohr's model of hydrogen atom, let PE represents potential energy and TE the total energy. In going to a higher level 

  • PE decreases, TE increases

  • PE increases, TE increases

  • PE decreases, TE decreases

  • PE increases, TE decreases

 According to Bohr's model, the radius of the second orbit of helium atom is 

  • 0.53 Å             

  • 1.06 Å

  • 2.12 Å             

  • 0.265 Å

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