Kinematics Question 731
Question: A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance $ ‘r’ $ . The speed of the particle is [CBSE PMT 1995]
Options:
A) Proportional to $ r^{2} $
B) Independent of $ r $
C) Proportional to $ r $
D) Proportional to $ 1/r $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{mv^{2}}{r}\propto \frac{K}{r}\Rightarrow \upsilon \propto r{}^\circ $ i.e. speed of the particle is independent of r.