Question

# A particle with mass m is held in circular orbit around the origin by an attractive force F(r) =-Dr ; where D is a positive constant. Assume that the Bohr model idea that ,the angular momentum is quantized i.e. it takes only integral multiples of h2π holds. The value of nth orbital radius is

A
(n2h2π2mD)12
B
(n2h2π2mD)14
C
(n2h22π2mD)14
D
(n2h24π2mD)14

Solution

## The correct option is A (n2h24π2mD)14mv2nrn=Drn mvn rn=nh2π⇒vnrn×rnVn=nh2πm×√mD⇒rn=(n2h24π2mD)14Co-Curriculars

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