Q 11 :    

A quantity Q is formulated as $X^{–2}{Y}^{+\frac{3}{2}}{Z}^{–\frac{2}{5}}·X,Y$, and Z are independent parameters which have fractional errors of 0.1, 0.2 and 0.5, respectively in measurement. The maximum fractional error of Q is          [2025]

• 0.1

   

• 0.8

   

• 0.7

   

• 0.6

   

Q 12 :    

A physical quantity Q is related to four observables a, b, c, d as follows:

$Q=\frac{a{b}^4}{cd} \mathrm{where}, a=(60\pm 3) Pa; b=(20\pm 0.1) \mathrm{m}$,

$c=(40\pm 0.2) {\mathrm{Nsm}}^{–2} \mathrm{and} d=(50\pm 0.1) \mathrm{m}$,

then the percentage error in Q is $\frac{x}{1000}$, where x = __________.          [2025]

Q 13 :    

A physical quantity C is related to four other quantities p, q, r and s as follows

               $C=\frac{p{q}^2}{r^3\sqrt{s}}$

The percentage errors in the measurement of p, q, r and s are 1%, 2%, 3% and 2% respectively. The percentage error in the measurement of C will be __________ %.          [2025]