Tag: measurements and experimentation
Questions Related to measurements and experimentation
The kinetic energy of a particle depends on the square of speed of the particle. If error in measurement of speed of $30\%$, the error in the measurement of kinetic energy will be
If $x=10.0 \pm 0.1$ and $y=10.0 \pm 0.1$, then $2x-2y$ is equal to
A physical quantity $S$ is given by $S = \dfrac {a^{2}b^{3}}{c\sqrt {d}}$.
If errors of measurements in $a, b, c, d$ are $4\%, 2\%, 3\%, 1\%$ respectively, find the percentage error in the value of $S$.
In an experiment four quantities a, b, c and d are measured with percentage error $1$ %, $2$%, $3$% and $4$% respectively. Quantity P is calculated as follows:
$P=\frac{ab^2}{\sqrt{cd^3}}$
Percentage error is P is
In a relation $ S=\dfrac{b}{b-c}$, where b, c,s are physical quantities, b is $(5.0 \pm 0.1)$ N and c is $(2.0 \pm 0.2)N$ then the percentage error in S is
The radius of a sphere is measured as $ (10 \pm 0.02) $ cm. The error in the measurement of its volume is:
The radius and height of a cone are measured as $6cms$ each by scale in which there is an error of $0.01cm$ in each cm. then the approximate error in its volume is.
In a resonant column method, resonance occurs at two successive levels of $l _1=30.7 cm$ and $l _2=63.2 cm$ using a tuning fork of $f=512 Hz$. What is the maximum error in measuring speed of sound using the relations $v=f\lambda$ and $\lambda =2(l _2-l _1)$?
Given $x=\dfrac {ab^2}{c^3}$, if the percentage errors in a, b and c are $\pm$ 1%, $\pm$ 3% and $\pm$ 2% respectively, the percentage error in $x$ can be:
The pressure on square plate is measured by measuring the force on the plate and length of sides of plate. If the maximum error in the measurement of force and length are respectively $4$% and $2$%, the maximum error in measurement of pressure is..........