Questions
Let consider a system of units in which mass and angular momentum are dimensionless. If length has dimensions of L, which of the following statement(s) is/are correct?
detailed solution
Correct option is A
[ mass ]=M∘L∘T∘ [Angular momentum ] =M∘L∘T∘ Formula of Angular Momentum =[r⋅m⋅V]=M∘L∘T∘⇒[m](rV)=M∘L∘T∘⇒M∘L∘T∘L1L1T−1=M∘L∘T∘⇒[L]2=[T]1 Linear Momentum =[P]=[mv]=[m][v]=M∘L∘T∘1r=L−1[ Power ]=1/2mv2t=[m]1r21r2=L−4[ Energy ]=1/2mv2=12[M]1r2=L−2 [Force ]=mvt=[m]1L1L2=L−3Talk to our academic expert!
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Using mass (M), length (L), time (T), and electric current (A) as fundamental quantities, the dimensions of permittivity will be
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