A formula is proposed for the kinetic energy of a particle of mass moving with speed

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A formula

E = \dfrac12 m v^{3}

is proposed for the kinetic energy

E

of a particle of mass

m

moving with speed

v

. Which single change will make the expression dimensionally consistent with energy? (a) Replace the mass

m

m^{2}

. (b) No change is needed; it is already dimensionally consistent. (c) Replace the exponent

3

v

1

. (d) Replace the exponent

3

v

2