Physics

# The electric field in a certain region is given by $\overrightarrow E=( \frac {K}{x^3}) \hat i$. the dimension of K are:-

$ML^4T^{-3}A^{-1}$

##### SOLUTION
The electric field in the given region is $\vec E=\dfrac{K}{x^3}\hat{i}$

The dimension for the electric field is $[M^1\ L^1\ T^{-3}\ A^{-1}]$

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.
$K=[M^1\ L^1\ T^{-3}\ A^{-1}][L]^3$

$\implies[M^1\ L^4\ T^{-3}\ A^{-1}]$

Option $C$ is correct.

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Single Correct Medium Published on 18th 08, 2020
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