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Accuracy and Precision

If x,y,p,q ...

Question

If $x, y, p, q$ represent the increase in length, the original length of the experimental wire, load applied to the wire and area of cross-section of the wire respectively then Young's modulus of the wire is given by:

A

\frac{x y}{p q}

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B

\frac{x p}{y q}

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C

\frac{p y}{x q}

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D

\frac{p q}{x y}

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Solution

The correct option is C $\frac{p y}{x q}$
Original length $(L) = y$
Extension $(l) = x$
Force applied $(F) = p$
Area of cross-section $(A) = q$
Now, Young's modulus $(Y) = \frac{F L}{A l} \Rightarrow Y = \frac{y p}{x q}$

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