Question

Q304) the ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is [ NCERT1980]

Q304) the ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is [ NCERT1980]

SOLUTION

Energy of nth orbit ∝ 1/ n2 Thus E1=C/(1)

second orbit E2=C/(2)2=C/(4)

third orbit energy E3=C/(3)2=C/(9)

Difference E1 - E2=C (3/4)

Difference E2 - E3=C (5/36)

Thus ratio=3/4 ÷ 5/36=27/5

Answer: (d)