1 joule of energy is to be converted into new system of units in which length is measured in 10, m, mass in 10, kg

Q: $1$ $joule$ of energy is to be converted into new system of units in which length is measured in $10\, m$, mass in $10\, kg$ and time in $1$ $minute$ then numerical value of $1\, J$ in the new system is

d $1 \mathrm{J}=2 \quad$ New system $\mathrm{n}_{2}=\mathrm{n}_{1}\left[\frac{\mathrm{M}_{1}}{\mathrm{M}_{2}}\right]\left[\frac{\mathrm{L}_{1}}{\mathrm{L}_{2}}\right]^{2}\left[\frac{\mathrm{T}_{1}}{\mathrm{T}_{2}}\right]^{-2}$ $\quad=1\left[\frac{\mathrm{kg}}{10 \mathrm{kg}}\right]\left[\frac{\mathrm{m}}{10 \mathrm{m}}\right]^{2}\left[\frac{10}{60}\right]^{-2}$ $\quad=\left(\frac{1}{10}\right)^{1} \times\left(\frac{1}{10}\right)^{2} \times(60)^{2}=36 \times 10^{-1}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

$1$ $joule$ of energy is to be converted into new system of units in which length is measured in $10\, m$, mass in $10\, kg$ and time in $1$ $minute$ then numerical value of $1\, J$ in the new system is

A$36 \times 10^{-4}$
B$36 \times 10^{-3}$
C$36 \times 10^{-2}$
D$36 \times 10^{-1}$

Medium

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

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