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

3 \times 10^{7} s

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3 \times 10^{- 7} s

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3 \times 10^{- 5} s

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3 \times 10^{- 4} s

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Solution

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 $= \frac{unit velocity}{unit acceleration} = \frac{3 \times 10^{8} m / s}{10 s}$ $= 3 \times 10^{7} s e c$

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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

The correct option is A 3×107sIn new units,Unit velocity =3×108msUnit acceleration =10ms2⇒ Unit time =unit velocityunit acceleration=3×108m/s10s =3×107sec

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

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 $= \frac{unit velocity}{unit acceleration} = \frac{3 \times 10^{8} m / s}{10 s}$ $= 3 \times 10^{7} s e c$