The length of a cylinder is measured with a meter rod having a least count of $0.1 \text{ cm}$. Its diameter is measured with vernier calipers having a least count of $0.01 \text{ cm}$. The length of the cylinder is $8.0 \text{ cm}$ and the radius is $4.0 \text{ cm}$. Find the percentage error in the calculated value of the volume. (in $\%$)

What is error in measurement? What is mistake in measurement?

$A$ balance is made using a uniform metre scale of mass $100 \ g$ and two plates each of mass $200 \ g$ fixed at the two ends of the scale. The balance is pivoted at the $45 \ cm$ mark. If a $300 \ g$ weight is placed in the plate at $0 \ cm$ to weigh vegetables placed in the plate at $100 \ cm$, what is the error in the measurement (in $g$)?

$A$ quantity is measured repeatedly many times with an instrument. The readings are shown in the figures where $T$ represents the true value of the measurement. Which of the following measurements is imprecise but accurate?

The time period of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{\ell}{g}}$. The measured value of the length of the pendulum is $10 \ cm$ known to a $1 \ mm$ accuracy. The time for $200$ oscillations of the pendulum is found to be $100 \ s$ using a clock of $1 \ s$ resolution. The percentage accuracy in the determination of $g$ using this pendulum is $x$. The value of $x$ to the nearest integer is ...........$\%$

$A$ particle covers a distance of $(13.8 \pm 0.2) \ m$ in $(4 \pm 0.3) \ s$. Its velocity under error limits will be