An ionic atom equivalent to hydrogen atom has wavelength equal to 1/4 of the wavelengths of hydrogen lines. The ion will be 
(1) ${\mathrm{He}}^{+}$        

(2) ${\mathrm{Li}}^{++}$

(3) ${\mathrm{Ne}}^{9+}$       

(4) ${\mathrm{Na}}^{10+}$

The third line of Balmer series of an ion equivalent to hydrogen atom has wavelength of 108.5 nm. The ground state energy of an electron of this ion will be 
(1) 3.4 eV               

(2) 13.6 eV

(3) 54.4 eV             

(4) 122.4 eV

Hydrogen atom emits blue light when it changes from n = 4 energy level to the n = 2 level. Which colour of light would the atom emit when it changes from the n = 5 level to the n = 2 level 
(1) Red                   

(2) Yellow

(3) Green               

(4) Violet

The first line of Balmer series has wavelength 6563 Å. What will be the wavelength of the first member of Lyman series

(1) 1215.4 Å             

(2) 2500 Å

(3) 7500 Å               

(4) 600 Å

The wavelength of the energy emitted when electrons come from the fourth orbit to the second orbit in hydrogen is \(20.397~\text{cm}\). The wavelength of energy for the same transition in \(\mathrm{He^{+}}\) is:
1. \(5.099~\text{cm}\)
2. \(20.497~\text{cm}\)
3. \(40.994~\text{cm}\)
4. \(81.988~\text{cm}\)

Minimum excitation potential of Bohr's first orbit in hydrogen atom is
(1) 13.6 V                     

(2) 3.4 V

(3) 10.2 V                     

(4) 3.6 V

Which of the following statements are true regarding Bohr's model of hydrogen atom?

(I) Orbiting speed of electron decreases as it shifts to discrete orbits away from the nucleus

(II) Radii of allowed orbits of electron are proportional to  principal quantum number

(III) Frequency with which electrons orbits around the nucleus in discrete orbits is inversely proportional to the cube of principal quantum number

(IV) Binding force with which the electron is bound to the nucleus increases as it shifts to outer orbits
Select correct answer using the codes given below
Codes :
(1) I and III                 

(2) II and IV

(3) I, II and III           

(4) II, III and IV

 For electron moving in ${\mathrm{n}}^{\mathrm{th}}$ orbit of H-atom the angular velocity is proportional to 
(1) n                       

(2) 1/n

(3) ${\mathrm{n}}^3$                    

(4) 1/${\mathrm{n}}^3$

Which of the following spectral series in hydrogen atom give spectral line of 4860 Å 

(1) Lyman               

(2) Balmer

(3) Paschen             

(4) Brackett

When an electron in hydrogen atom is excited, from its 4th to 5th stationary orbit, the change in angular momentum of electron is (Planck’s constant: h = $6.6\times {10}^{-34} \mathrm{J}-\mathrm{s}$6.6)

(1) $4.16\times {10}^{-34} \mathrm{J}-\mathrm{s}$              

(2) $3.32\times {10}^{-34 }\mathrm{J}-\mathrm{s}$

(3) $1.05\times {10}^{-34} \mathrm{J}-\mathrm{s}$               

(4) $2.08\times {10}^{-34} \mathrm{J}-\mathrm{s}$