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1. Electric Charges and Fields
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ચોક્ક્સ (અમુક) પ્રદેશમાં વિદ્યુતક્ષેત્ર ........ સૂત્ર વડે આપી શકાય છે. $K$ નું પારિમાણિક સૂત્ર $\mathop E\limits^ \to \,\, = \,\,(\frac{K}{{{x^3}}})\,\hat i$ છે.
A
$MLT^{-3}A^{-1}$
B
$ML^{-2}T^{-3}A^{-1}$
C
$ML^4T^{-3}A^{-1}$
D
પરિમાણ રહિત
Solution
The dimension for the electric field is $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$
In order to obtain the dimension of $K$, simplify the above expression: $K = E \cdot x ^3$
Here $X$ denotes the position. So, dimensions of $x$ are $[ L ]$.
Simplify the above expression.
$K =\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right][ L ]^3$
$\Rightarrow\left[ M ^1 L ^4 T ^{-3} A ^{-1}\right]$
Standard 12
Physics
