A) proportional to \[{{r}^{2}}\]
B) independent of r
C) proportional to r
D) proportional to 1/r
Correct Answer: B
Solution :
Given: centripetal force \[\propto \frac{1}{r}\] \[\frac{m{{\upsilon }^{2}}}{r}\propto \,\frac{1}{r}\] or \[\frac{m{{\upsilon }^{2}}}{r}=\frac{k}{r}\] or \[{{\upsilon }^{2}}=\frac{k}{m}\] or \[{{\upsilon }^{2}}=k\] or \[\upsilon =\text{constant}\] So, speed is independent of r.
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