Question

If the acceleration due to gravity is represented by unit in a system of units and one second be the unit of time, the unit of length is:

• A. $1m$
• B. $98m$
• C. $0.98m$
• D. $9.8m$

Answer 1

The correct option is D $9.8m$

Given:

Acceleration due to gravity$\left(g\right)=1$

Time $\left(t\right)=1s$

As we know,
$g=9.8\frac{m}{s^2}$
Dimension of $g=L{T}^{-2}$
Therefore,
$1=L{s}^{-2}=9.8m{s}^{-2}$
Hence,
$1L=9.8m$
Final answer: $\left(a\right)$