The least count of a stop watch is $\frac{1}{5} \text{ s}$. The time of $20$ oscillations of a pendulum is measured to be $25 \text{ s}$. The maximum percentage error in the measurement of time will be .......... $\%$

Using the expression $2 d \sin \theta = \lambda$,one calculates the values of $d$ by measuring the corresponding angles $\theta$ in the range $0^{\circ}$ to $90^{\circ}$. The wavelength $\lambda$ is exactly known and the error in $\theta$ is constant for all values of $\theta$. As $\theta$ increases from $0^{\circ}$:

$A$ physical quantity is given by $X = M^a L^b T^c$. The percentage errors in the measurement of $M, L,$ and $T$ are $\alpha, \beta,$ and $\gamma$ respectively. The maximum percentage error in the quantity $X$ is:

The length of a cylinder is measured with a metre rod having a least count of $0.1 \; cm$. Its diameter is measured with vernier calipers having a least count of $0.01 \; cm$. If the length and diameter of the cylinder are $5.0 \; cm$ and $2.00 \; cm$ respectively,then the percentage error in the calculated value of volume will be (in $\%$)

The potential difference across the ends of a conductor is $(30 \pm 0.3) \ V$ and the current through the conductor is $(5 \pm 0.1) \ A$. The error in the determination of the resistance of the conductor is: (in $\%$)

If two resistors have resistances $R_1 = (350 \pm 3) \text{ } \Omega$ and $R_2 = (140 \pm 4) \text{ } \Omega$, then the percentage error for the sum and difference of $R_1$ and $R_2$ are respectively: