Correct Answer: Option A

Explanation

Mathematically Boyle's law = PV = K
Where P = Pressure
and V = Volume


By definition Pressure = \( \frac{F}{A} = \frac{F}{M \times M} \)

Again Workdone = force x displacement

therefore \( PV = \frac{F}{A} \times V = \frac{F}{M^2} \times \frac{M^3}{1} \\

PV = \frac{F}{x\times x} \times \frac{x \times x \times x}{1} = F \times x \)

= force x displacement

There is an explanation video available below.

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