Question

If y represents distance and x-represents time, dimensions of $\frac{d^{2}y}{dx^{2}}$ are –

• A. LT^–1
• B. L² T²
• C. L² T^–1
• D. LT^–2

Answer 1

Answer: (D)

LT^–2

Answer 2

$\frac{d^{2}y}{dx^{2}}$ = $\frac { \mathrm { d } } { \mathrm { dx } }$ $\left( \frac{dy}{dx} \right)$

= $\frac{d}{dx}$ (v) = rate of change of speed w.r.t. time

= acceleration