Mass and volume of a body are found to be $(6.00 \pm 0.03) \text{ kg}$ and $(2.00 \pm 0.02) \text{ m}^3$ respectively. Then the density of a body is

The length of a rod is measured by a meter scale having a least count of $0.1 \text{ cm}$ and the diameter is measured by vernier callipers having a least count of $0.01 \text{ cm}$. The length of the rod is $5.0 \text{ cm}$ and the radius is $2.0 \text{ cm}$. The percentage error in the calculated value of the volume is: (in $\%$)

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 $x = a - b$,then the percentage error in $x$ will be

The error in the measurement of length and mass of a cube is $3\%$ and $4\%$ respectively. The error in the measurement of its density will be (in $\%$)

In the experiment of $Ohm's$ law,a potential difference of $5.0\, V$ is applied across the ends of a conductor of length $10.0\, cm$ and diameter of $5.00\, mm$. The measured current in the conductor is $2.00\, A$. The maximum permissible percentage error in the resistivity of the conductor is (in $\%$)