Two resistors of resistances $R_1 = (100 \pm 3) \,\Omega $ and $R_2 = (200 \pm 4)$ are connected in series. The maximm absolute error and percentage error in equivalent resistance of the series combination is

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively $4\%$ and $2\%$, The maximum error in the measurement of pressure is ....... $\%$

Explain least count and least count error. Write a note on least count error.

A thin copper wire of length l metre increases in length by $ 2\%$ when heated through $10^o C$. ......... $\%$ is the percentage increase in area when a square copper sheet of length $l$ metre is heated through $10^o C$

A wire has a mass $0.3 \pm 0.003\,g$, radius $0.5 \pm 0.005\,mm$ and length $6 \pm 0.06\,cm$. The maximum percentage error in the measurement of its density is .......... $\%$

The random error in the arithmetic mean of $100$ observations is $x$; then random error in the arithmetic mean of $400$ observations would be