A physical quantity is given by $X = {M^a}{L^b}{T^c}$. The percentage error in measurement of $M,L$ and $T$ are $\alpha ,\beta $ and $\gamma $ respectively. Then maximum percentage error in the quantity X is
$a\alpha + b\beta + c\gamma $
$a\alpha + b\beta - c\gamma $
$\frac{a}{\alpha } + \frac{b}{\beta } + \frac{c}{\gamma }$
None of these
The mass and volume of a body are found to be $(5.00 ± 0.05)\,kg$ and $(1.00 ± 0.05)\,m^3$ respectively. Then the maximum possible percentage error in its density is .......... $\%$
The values of a number of quantities are used in a mathematical formula. The quantity that should be most precise and accurate in measurement is the one
The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are $4\%$ and $3\%$ respectively, the maximum error in the measurement of density will be ........ $\%$
A body of mass $(5 \pm 0.5) kg$ is moving with a velocity of $(20 \pm 0.4) m / s$. Its kinetic energy will be
If $x=10.0 \pm 0.1$ and $y=10.0 \pm 0.1$, then $2 x-2 y$ is equal to