JEE MAIN - Physics (2008 - No. 2)
Then which of the following is true?
$${T_n} \propto {1 \over {{n^2}}},{r_n} \propto {n^2}$$
$${T_n}$$ independent of $$n,{r_n} \propto n$$
$${T_n} \propto {1 \over n},{r_n} \propto n$$
$${T_n} \propto {1 \over n},{r_n} \propto {n^2}$$
설명
When $$F = {k \over r} = $$ centripetal force, then $${k \over r} = {{m{v^2}} \over r}$$
$$ \Rightarrow m{v^2} = $$ constant $$ \Rightarrow $$ kinetic energy is constant
$$ \Rightarrow T$$ is independent of $$n.$$
$$ \Rightarrow m{v^2} = $$ constant $$ \Rightarrow $$ kinetic energy is constant
$$ \Rightarrow T$$ is independent of $$n.$$