Physics And Measurement Question 119
Question: Given that $ v $ is speed, $ r $ is the radius and $ g $ is the acceleration due to gravity. Which of the following is dimensionless
[CET 1998]
Options:
A) $ v^{2}/rg $
B) $ v^{2}r/g $
C) $ v^{2}g/r $
D) $ v^{2}rg $
Show Answer
Answer:
Correct Answer: A
Solution:
Angle of banking : $ \tan \theta =\frac{v^{2}}{rg} $ . i.e. $ \frac{v^{2}}{rg} $ is dimensionless.