Question

If h is height and g is acceleration due to gravity, then the dimensional formula of $\sqrt { \frac { 2 h } { g } }$ is the same as that of –

• A. Time
• B. Mass
• C. Volume
• D. Velocity

Answer 1

Answer: (A)

Time

Answer 2

$\left[ \sqrt { \frac { 2 h } { g } } \right] = \sqrt { \frac { \mathrm { M } ^ { 0 } L ^ { 1 } T ^ { 0 } } { \mathrm { M } ^ { 0 } L ^ { 1 } T ^ { - 2 } } }$ = $\sqrt { \mathrm { M } ^ { 0 } \mathrm {~L} ^ { 0 } \mathrm {~T} ^ { 2 } }$ [T¹]

= Time