The pressure on a square plate is measured by measuring the force...

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum errors in the measurement of force and length are respectively,

4%

and

2%

, then the maximum error in the measurement of pressure is

Options

A $1%$
B $2%$
C $6%$
D $8%$

Correct answer

D. $8%$

Step-by-step solution

∴ p = \dfrac{F}{A} = \dfrac{F}{l2}

, so maximum error in pressure

\left(p\right)

{\left(\dfrac{\Deltap}{p} \times 100\right)}_\max = \dfrac{\Delta F}{F} \times 100 + 2\dfrac{\Deltal}{l} \times 100

= 4% + 2 \times 2%

= 8%

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