(A) The formula for force in terms of base units is $F = [M L T^{-2}]$.Let the new units be $M' = 10 \; g = 10^{-2} \; kg$,$L' = 10 \; cm = 0.1 \; m$,

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(A) The formula for force in terms of base units is $F = [M L T^{-2}]$.Let the new units be $M' = 10 \; g = 10^{-2} \; kg$,$L' = 10 \; cm = 0.1 \; m$,and $T' = 0.1 \; s$.The new unit of force $F'$ is given by $F' = M' L' (T')^{-2}$.Substituting the values: $F' = (10^{-2} \; kg) \times (0.1 \; m) \times (0.1 \; s)^{-2}$.$F' = 10^{-2} \times 10^{-1} \times (10^{-1})^{-2} \; kg \cdot m/s^2$.$F' = 10^{-3} \times 10^2 \; N$.$F' = 10^{-1} \; N = 0.1 \; N$.

Class 11 Physics Units, Dimensions and Measurement Dimensional Analysis, Uses and Limitations

Medium

In a particular system,the units of length,mass,and time are chosen to be $10 \; cm$,$10 \; g$,and $0.1 \; s$ respectively. The unit of force in this system will be equal to (in $; N$)?

A
$0.1$
B
$1$
C
$10$
D
$100$

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Units, Dimensions and Measurement

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Dimensional Analysis, Uses and Limitations

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In a particular system,the units of length,mass,and time are chosen to be $10 \; cm$,$10 \; g$,and $0.1 \; s$ respectively. The unit of force in this system will be equal to (in $; N$)?

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