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Question

$\begin{array}{l}
Power\,of\,e\,should\,be\,\dim ensionless.\
So,\left[ \lambda  ight] = \left( {\alpha Tk} ight)\
 \Rightarrow \,\

Vedclass · Accepted Answer

$M^2LT^{-4}$

Vedclass · Answer

$\begin{array}{l}
Power\,of\,e\,should\,be\,\dim ensionless.\
So,\left[ \lambda  ight] = \left( {\alpha Tk} ight)\
 \Rightarrow \,\,\,\,\,\,\,\,{L^2} = \left[ \alpha  ight]\left( {M{L^2}{T^{ - 2}}} ight)\
 \Rightarrow \,\,\,\,\,\,\,\,\,\left( \alpha  ight) = \left( {{M^{ - 1}}{T^2}} ight)\
 \Rightarrow \,\,\,\,\,\,\,\,\,\,\,E = \frac{1}{2}KT\
 \Rightarrow \,\,\,\,\,\,\,\,\,\,\,\left( {M{L^2}{T^{ - 2}}} ight)\,\,;\,\,\left( E ight) = \left[ {KT} ight]\
 \Rightarrow \,\,\,\,\,\,\,\,\,\,\,\left( {\alpha \beta } ight) = \left( F ight)\
 \Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\left( {{M^{ - 1}}{T^2}} ight)\left( \beta  ight) = \left( {ML{T^{ - 2}}} ight)
\end{array}$

લિસ્ટ $-I$	લિસ્ટ $-II$
$(a)$ ટોર્ક	$(i)$ ${MLT}^{-1}$
$(b)$ બળનો આઘાત	$(ii)$ ${MT}^{-2}$
$(c)$ તણાવ	$(iii)$ ${ML}^{2} {T}^{-2}$
$(d)$ પૃષ્ઠતાણ	$(iv)$ ${ML} {T}^{-2}$

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