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Time and Work

If the unit o...

Question

If the unit of force is $1 K N$ ,the length is $1 K m$ and time is $100 s,$ What will be the unit of mass ?

1000 K g

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1 K g

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10000 K g

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100 K g

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Solution

The correct option is A $10000 K g$
Dimensions of $F = [M L T^{- 2}]$
writing the values
$1000 = [M]^{1} [1 K m]^{1} [100 s]^{- 2}$
$1000 = [M] [1000 m] [100 s]^{- 2}$
$1000 = \frac{[M]}{10}$
$M = 10000 K g = 10^{4} K g$

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