$A$ force '$F$' is applied on a square plate of side '$L$'. If the percentage error in determining '$L$' is $3\%$ and that in '$F$' is $2\%$, then the percentage error in determining the pressure is: (in $\%$)

What is called as relative error? Define fractional error.

The error in the measurement of the length and the breadth of a rectangular table is $1 \%$. If the length and breadth of the table are $1 \ m$ and $50 \ cm$ respectively, then the area of the table including error is

The percentage error in the measurement of a physical quantity $m$ given by $m = \pi \tan \theta$ is minimum when $\theta = \dots \dots \dots \dots \dots ^\circ$ (Assume that the error in $\theta$ remains constant).

$A$ physical quantity $A$ can be determined by measuring parameters $B, C, D$ and $E$ using the relation $A = \frac{B^\alpha C^\beta}{D^\gamma E^\delta}$. If the maximum percentage errors in the measurement of $B, C, D$ and $E$ are $b\%, c\%, d\%$ and $e\%$ respectively,then the maximum percentage error in the value of $A$ 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 $\%$)