Physics

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


ANSWER

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


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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