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A particle of mass m is moving around the origin with a constant force F pulling it towards the origin. If Bohr model is…

Q1

A particle of mass m is moving around the origin with a constant force F pulling it towards the origin. If Bohr model is used to describe its motion, the radius of the \({\mathrm{n}}^{\text{th }}\) orbit and the particle's speed v in the orbit depend on n as

a

\(\mathrm{r}\propto {\mathrm{n}}^{2/3};\mathrm{v}\propto {\mathrm{n}}^{1/3}\)

b

\(\mathrm{r}\propto {\mathrm{n}}^{4/3};\mathrm{v}\propto {\mathrm{n}}^{-1/3}\)

c

\(\mathrm{r}\propto {\mathrm{n}}^{1/3};\mathrm{v}\propto {\mathrm{n}}^{1/3}\)

d

\(\mathrm{r}\propto {\mathrm{n}}^{1/3};\mathrm{v}\propto {\mathrm{n}}^{2/3}\)

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