List of top Physics Questions on Error Analysis

Density and volume of a body are given as \( (20\pm 4)\text{ gm/cm^3 \) and \( (10\pm 1)\text{ cm}^3 \) respectively. The absolute error in measurement of mass is}

Let \(f(x)\) be a twice differentiable function in \([1,3]\) and \(f(1)=f(3)\). Further if \(|f^{\prime\prime}(x)|\le2\), then for all \(x\) in \([1,3]\):

A set of measurements of a certain parameter is: $20.00,\; 19.75,\; 18.25,\; 17.01$. Find the relative error for the set of measurements.

The resistance \( R=\frac{V}{I} \) where \( V=(25\pm0.4)\,\text{V \) and \( I=(200\pm3)\,\text{A} \). The percentage error in \( R \) is}

A screw gauge has a least count of $0.01$ mm. Using this screw gauge a measurement was done. When nothing was present in the jaw, zero of circular scale was above reference line by $3$ units. When a sphere was kept between the jaws, main scale reads $1$ mm and $51^{\text{st}$ division of circular scale coincides with reference line. Find the actual diameter of the ball:}

Two physical quantities \( x \) and \( y \) have measured values 23.01 and 37.3 respectively. Then the value of \( x + y \) is:

There are two springs of spring constants \( k_1 = (20 \pm 0.2) \, \text{N/m \) and \( k_2 = (30 \pm 0.3) \, \text{N/m} \). If they are connected in parallel, then the percentage error in the equivalent spring constant of the combination is ........... %.}

Error in the measurement of radius of the sphere is 2%. The error in the calculated value of its volume is

A force F is applied on a square plate of side L. If the percentage error in F is 3% and in L is 2%, then the percentage error in pressure is \dots

The error in the measurement of length and mass is 3% and 4% respectively. The error in the measurement of density will be ______.

Quantities p, q, r, s are measured with errors 3%, 2%, 3% and 1%. $A = \frac{pq^{2}{r^{3}s}$. The percentage error in A is}

The initial and final temperatures of water as recorded by an observer are $(38.6 \pm 0.2)^\circ\text{C}$ and $(82.3 \pm 0.3)^\circ\text{C}$. The rise in temperature with proper error limits is

A student measures time for 20 oscillations of a simple pendulum as \(30\text{ s}, 32\text{ s}, 35\text{ s}\) and \(35\text{ s}\) . If the minimum division in the measuring clock is \(1\text{ s}\) , then correct mean time (in second) is

The period of oscillating simple pendulum is $T = 2\pi \sqrt{\frac{l}{g}}$ where length ' $l$ ' is $100\text{ cm}$ with error $1\text{ mm}$ . Period is $2\text{ second}$. The time of $100$ oscillations is measured by a stopwatch of least count $0.1\text{s}$. The percentage error in gravitational acceleration ' $g$ ' is

The initial and final temperatures of water as recorded by an observer are $(38.6 \pm 0.2)^\circ\text{C}$ and $(82.3 \pm 0.3)^\circ\text{C}$. The rise in temperature with proper error limits is

The maximum percentage error in the measurement of the density of a wire is: \[ \text{Given, mass of wire} = (0.60 \pm 0.003) \, \text{g}, \quad \text{radius of wire} = (0.50 \pm 0.01) \, \text{cm}, \quad \text{length of wire} = (10.00 \pm 0.05) \, \text{cm}. \]

In a measurement, the random error