1.Units, Dimensions and Measurement
medium

यदि वेग $[ V ]$, समय $[ T ]$ तथा बल $[ F ]$ मूल राशियां मानी जाएं, तो द्रव्यमान की विमा होगी।

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

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