Question

If the centrifugal force on a body moving on the circumference of a circle is related to the mass $M$, velocity $V$ and radius of the circular orbit r as $F\alpha M^a{V}^b{R}^c$, then the values of $a,b$ and $c$ respectively are :

• A. 1, 1, 2
• B. 1, 2, 1
• C. 1, 2, 2
• D. 1, 2, -1

Answer 1

The correct option is D 1, 2, -1

$F\propto M^a{V}^b{R}^c$
$F=M^1{L}^1{T}^{-2}$
$M^1{L}^1{T}^{-2}=M^a\left(L{T}^{-1}{)}^b\right(L^1{)}^c$
$a=1$
$b+c=1,a=1$
$-b=-2,b=2,c=-1$
Hence, option D is correct.