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  • If force [F], acceleration [A], and time [T] are chosen as the fundamental physical quantities. find the dimensions of energy.Option: 1 <img alt="\le

If force [F], acceleration [A], and time [T] are chosen as the fundamental physical quantities. find the dimensions of energy.

Option: 1

\left [ F \right ]\left [ A \right ]\left [ T \right ]


Option: 2

\left [ F \right ]\left [ A \right ]\left [ T^{2} \right ]


Option: 3

\left [ F \right ]\left [ A \right ]\left [ T^{-1} \right ]


Option: 4

\left [ F \right ]\left [ A^{-1} \right ]\left [ T \right ]


Answers (1)

best_answer

[Energy ]=[F]^{x}[A]^{y}[T]^{Z}

\left[M^{1} L^{2} T^{-2}\right]=\left[M^{1} L^{1} T^{-2}\right]^{x}[L^{1}T^{-2}]^{y}[T^{1}]^{z}

\left[M^{1} L^{2} T^{-2}\right]=M^{x} L^{x+y} T^{-2 y-2 x+z}

x=1

x+y=2     ; y=1

-2x-2y+z=-2

Z=-2+4=2

[\text {Energy} ]=[F]^{1}[A]^{1}[T]^{2}

Posted by

Gaurav

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