Accuracy in Measurements

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

 If the errors in measurement of the force on a plate and the radius of the plate are$5\%$ and $3\%$ respectively, find the percentage of error in the measurement of pressure.

If the error in the measurement of momentum of a particle is $\left(+100\%\right)$, then the error in the measurement of kinetic energy is

Two clocks are being tested against a standard clock located in a national laboratory. At $02:30:00$ pm by the standard clock, the readings of the two clocks are:

The deviation shown by the two clocks in a week are:

Which of the following measurements is most precise?

If the standard deviation of a data is $0.012$. Find the variance

In an experiment, it is found that the experimental value is very close to actual value, hence the experimental value can be called ___

What is difference between Efficient and accurate?

How do you describe Accuracy?

Estimate the uncertainty when a student measures the length of a room using a steel tape measure calibrated in millimetres.

The relative error in the determination of the surface area of a sphere is $\alpha$. The relative error in the determination of its volume is

The focal length of a mirror is given by $\frac{2}{\mathrm{f}}=\frac{1}{\mathrm{v}}-\frac{1}{\mathrm{u}}$. If in the measurement of $\mathrm{u}$ and $\mathrm{v}$, the errors are equal to $\mathrm{p}$ each, then the relative error in $\mathrm{f}$ is

The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are $1.5\%$ and $1\%$, respectively, the maximum error in determining the density is:

A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90 \mathrm{s}, 91 \mathrm{s}, 95 \mathrm{s}$ and $92 \mathrm{s}$. If the minimum division in the measuring clock is $1 \mathrm{s}$, then the reported mean time should be:

To calculate the effective length of pendulum, we measure :-

Closeness of two or more measured values is called as

The pitch of a screw gauge is $0.5 \mathrm{mm}$ and its head scale has $50$ divisions. The least count of the screw gauge is:

The pitch of a screw gauge is $0.5 \mathrm{mm}$ and its head scale has $50$ divisions. The least count of the screw gauge is:

The figure given above indicates good accuracy and poor precision.

The closeness of measured value to the actual value is known as