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Q.

In a new system of units, 1 unit of time is equal to 100s, 1 unit of mass is 10kg and 1 unit of length is 50m.In this new system of units, 1 unit of force is equal to

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a

40 N

b

20 N

c

1/20 N

d

10 N

answer is C.

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Detailed Solution

Dimensional formula of force: $[F] = [ML T^{- 2}]$

$n_{2} = n_{1} [\frac{M_{1}}{M_{2}}] [\frac{L_{1}}{L_{2}}] {[\frac{T_{1}}{T_{2}}]}^{- 2}$

$n_{2} = 1 \times [\frac{10}{1}] [\frac{50}{1}] {[\frac{100}{1}]}^{- 2} = \frac{1}{20}$

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