NCERT Class XI Chemistry Structure of Atom Solutions

Question : 18

Total: 67

What is the energy in joules, required to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state? The ground state electron energy is –2.18 × 10–11 ergs.

Solution:

Energy (E) = 2.18 × 10–18 J (

ni2

−

nf2

)
where , ni = inital orbit , nf = final orbit
E = 2.18 × 10−18(

−

) = 2.18 × 10−18(

−

) = 2.18 × 10−18×

= 2.09 × 10–18 J = 2.09 × 10–11 erg [Since 1 J = 107 erg]
Wavelength =

6.626×10−27×3×1010

2.09×10−11

= 9.51 × 10–6 cm = 951 × 10–8 cm = 951 Å

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