1)

 A force F is applied on a square plate of length L. If percentage error in the determination  of L  is 3%  and F is 4%, then the permissible  error  in the calculation of pressure is 


A) 13%

B) 10%

C) 7%

D) 12%

Answer:

Option B

Explanation:

 Given,

 Percentage error in length =3%

 Percentage error in force=4%

 We know that,

 Pressure= $P= \frac{F}{A}$

 Area of square = $(L))^{2}$

 $P= \frac{F}{L^{2}}$

$\frac{\triangle P}{p}=\frac{\triangle F}{F}+\frac{2\triangle L}{L}$

$\left(\frac{\triangle P}{p} \times 100\right)=\left(\frac{\triangle F}{F} \times 100\right)+2\left(\frac{\triangle L}{L} \times 100\right)$

 = 4%+2(3%)=10%