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Work, Power and Energy
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If the unit of force and length each increased by 4 times , then the unit of energy is increased by
\[(a)\;16 \;times \quad (b)\;8\;times\quad (c)\;2\;times \quad (d)\;4\; times\]
jeemain
physics
class11
ch6
work
work-energy-theorem
work-power-energy
q18
easy
dimensional-formulae-and-analysis
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asked
Jul 18, 2013
by
meena.p
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Aug 25, 2014
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balaji.thirumalai
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Answer: 16 times.
Dimensionally, Force is represented as $ [MLT^{-2}]$ and Length as $[L]$.
$\Rightarrow$ Energy $ = F\;d$ is represented as $ [MLT^{-2}] \times [L] = [ML^2T^{-2}]$.
Therefore, if Force and length are quadrupled in value, Energy $ = 4[MLT^{-2}] \times 4[L] = 16[ML^2T^{-2}]$.
$\Rightarrow$ the unit of energy increased 16 times.
answered
Jul 18, 2013
by
meena.p
edited
Aug 25, 2014
by
balaji.thirumalai
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