In an experiment,the mass of an object is measured by applying a known force on it and then measuring its acceleration. If in the experiment,the measured values of applied force and the measured acceleration are $F = 10.0 \pm 0.2 \, N$ and $a = 1.00 \pm 0.01 \, m/s^2$,respectively,then the mass of the object is ............... $kg$.

$A$ projectile is thrown with velocity $U = 20 \ m/s \pm 5\%$ at an angle $60^{\circ}.$ If the projectile falls back on the ground at the same level,then which of the following values in $m$ cannot be a possible answer for the range?

If $P = \frac{A^3}{B^{5/2}}$ and $\Delta A$ is the absolute error in $A$ and $\Delta B$ is the absolute error in $B$,then the absolute error $\Delta P$ in $P$ is:

During Searle's experiment,the zero of the Vernier scale lies between $3.20 \times 10^{-2} \text{ m}$ and $3.25 \times 10^{-2} \text{ m}$ of the main scale. The $20^{\text{th}}$ division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of $2 \text{ kg}$ is applied to the wire,the zero of the Vernier scale still lies between $3.20 \times 10^{-2} \text{ m}$ and $3.25 \times 10^{-2} \text{ m}$ of the main scale,but now the $45^{\text{th}}$ division of the Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is $2 \text{ m}$ and its cross-sectional area is $8 \times 10^{-7} \text{ m}^2$. The least count of the Vernier scale is $1.0 \times 10^{-5} \text{ m}$. The maximum percentage error in the Young's modulus of the wire is:

The error in the measurement of force acting normally on a square plate is $3 \%$. If the error in the measurement of the side of the plate is $1 \%$,then the error in the determination of the pressure acting on the plate is (in $\%$)

$A$ physical quantity $P$ is given as $P = \frac{a^2 b^3}{c \sqrt{d}}$. The percentage errors in the measurement of $a, b, c,$ and $d$ are $1 \%, 2 \%, 3 \%,$ and $4 \%$ respectively. The percentage error in the measurement of quantity $P$ will be $.......\%$.