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1.Units, Dimensions and Measurement
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જો વેગ $[V],$ સમય $[T]$ અને બળ $[F]$ ને મૂળભૂત રાશિ લેવામાં આવે, તો દળનું પરિમાણ શું થાય?
A
$\left[{FT}^{-1} {V}^{-1}\right]$
B
$[FTV$ $\left.^{-1}\right]$
C
$\left[{FT}^{2} {V}\right]$
D
$\left[{FVT}^{-1}\right]$
(JEE MAIN-2021)
Solution
${[{M}]={K}[{F}]^{{a}}[{T}]^{{b}}[{V}]^{c}}$
${\left[{M}^{1}\right]=\left[{M}^{1} {L}^{1} {T}^{-2}\right]^{{a}}\left[{T}^{{l}}\right]^{{b}}\left[{L}^{1} {T}^{-1}\right]^{c}}$
${a}=1, {b}=1, {c}=-1$
$\therefore[{M}]=\left[{FTV}^{-1}\right]$
Standard 11
Physics
