Question

The dimensional formula of√(energy/) √mass is same as that of __________.
Mass B. Length
Time D. Velocity

Answer 1

Answer:

D. Velocity

Explanation:

Energy Dimensional Analysis

The kinetic energy (K) can be calculated by the formula:

$\displaystyle K=\frac{1}{2}mv^2$

Where:

m = mass of the object

v = speed at which the object moves

Solving for v:

$\displaystyle v=\sqrt{\frac{2E}{m}}$

Or, equivalently:

$\displaystyle v=\frac{\sqrt{2E}}{\sqrt{m}}}$

In dimensional terms, the quotient of the square roots of the energy and the mass is equivalent to the dimensions of the velocity (or speed),

D. Velocity