$A$ physical quantity $Q$ is found to depend on observables $x, y$ and $z$,obeying the relation $Q = \frac{x^3 y^2}{z}$. The percentage errors in the measurements of $x, y$ and $z$ are $1\%, 2\%$ and $4\%$ respectively. What is the percentage error in the quantity $Q$ (in $\%$)?

If $x = 10.0 \pm 0.1$ and $y = 10.0 \pm 0.1$,then $2x - 2y$ is equal to

The percentage errors in quantities $P, Q, R$ and $S$ are $0.5\%, 1\%, 3\%$ and $1.5\%$ respectively in the measurement of a physical quantity $A = \frac{P^3 Q^2}{\sqrt{R} S}$. The maximum percentage error in the value of $A$ will be ........... $\%$.

If there is a positive error of $50\%$ in the measurement of velocity of a body,then the error in the measurement of kinetic energy is .............. $\%$

Let $x = \frac{a^2 b^2}{c}$ be a physical quantity. If the percentage errors in the measurement of physical quantities $a, b,$ and $c$ are $2\%, 3\%,$ and $4\%$ respectively,then the percentage error in the measurement of $x$ is: (in $\%$)

Two capacitors with capacitance values $C_1 = 2000 \pm 10 \text{ pF}$ and $C_2 = 3000 \pm 15 \text{ pF}$ are connected in series. The voltage applied across this combination is $V = 5.00 \pm 0.02 \text{ V}$. The percentage error in the calculation of the energy stored in this combination of capacitors is . . . . . .