Question

The dimensional formula of√(energy/) √mass is same as that of __________.

Mass B. Length
Time D. Velocity

Answer 1

D. Velocity

Step-by-step explanation:

Energy Dimensional Analysis

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

`\displaystyle K=(1)/(2)mv^2`

Where:

m = mass of the object

v = speed at which the object moves

Solving for v:

`\displaystyle v=\sqrt{(2E)/(m)}`

Or, equivalently:

`\displaystyle v=(√(2E))/(√(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