Question

In a direct impact, loss in kinetic energy is given by $△K=\frac{M_1{M}_2}{2(M_1+M_2)}.(V_1-V_2{)}^2(1-K^2)$ with usual

notations(except k). The quality k will have dimensional formula:

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Since 1 and $k^2$ are being subtracted , they should have the same dimensions. 1 is a number i.e. dimensionless

$[1-k^2]=M^0{L}^0{T}^0$

Hence, $\left[k\right]=M^0{L}^0{T}^0$

Actually, k is the coefficient of restitution.