EXPLANATION
- a) M⁻¹L⁻²T⁴A²
- b) M⁻²L⁻⁴T⁴A²
- c) M⁻²L⁻⁴T⁴A²
- d) M⁻²L⁻⁴T²A²
ANSWER: d) M⁻²L⁻⁴T²A²
EXPLANATION:
The dimension of capacitance is d) M⁻²L⁻⁴T²A². Capacitance is a measure of an object's ability to store electric charge. It is defined as the ratio of the magnitude of electric charge (Q) stored on an object to the electric potential difference (V) across it.
In terms of dimensions, the electric charge (Q) has dimensions of electric current multiplied by time (A * T), and the electric potential difference (V) has dimensions of electric potential, which is equivalent to energy divided by electric charge (M * L² * T⁻² * A⁻¹).
Therefore, the dimensions of capacitance (C) can be obtained by dividing the dimensions of electric charge (Q) by the dimensions of electric potential difference (V), resulting in M⁻²L⁻⁴T²A².
