Question

If the unit of velocity is equal to the velocity of light and the unit of acceleration is $10$ ${ms}^{-2}$, then the unit of time is

• A. $3\times {10}^{7}s$
• B. $3\times {10}^{-7}s$
• C. $3\times {10}^{-5}s$
• D. $3\times {10}^{-4}s$

Answer 1

The correct option is A $3\times {10}^{7}s$

In new units,

Unit velocity $=3\times {10}^8\frac{m}{s}$

Unit acceleration $=10\frac{m}{s^2}$

$\Rightarrow$ Unit time $=\frac{\text{unit velocity}}{\text{unit acceleration}}=\frac{3\times {10}^{8}m/s}{10s}$ $=3\times {10}^{7}sec$