Question

17. Which of the following relation is not dimensionally correct? (K→kinetic energy, m→mass, v→speed, h→height, g→acceleration due to gravity) * a)K = m²v³ b) K = mv² c) K = (3/16)mv² d) K = mgh​

Answer 1

Answer:

a)K = m²v³

Explanation:

a)K = m²v³

units will be

J = kg²m³/s³ ❎

b) K = mv²

units will be

J = kg - m²/s² ✅

c) K = (3/16)mv²

units will be

J = kg - m²/s² ✅

d) K = mgh

units will be

J = kg - m/s² × m

⇒ J = kg - m²/s² ✅