Errors in measurement Questions

In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is T=2π7(R-r)5g.The values of R and r are measured to be (60±1) mm and (1...

A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above ...

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 respectively 1.5% and 1%, ...

Diameter of a steel ball is measured using a vernier callipers which has divisions of 0.1 cm on its main scale(MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three...

Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of...

Students I1, J1,J3 and I2 perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and record time for different numb...

The time period of a simple harmonic oscillator is $T = 2\pi\sqrt{\frac{k}{m}}$. The measured value of mass (m) of the object is 10 g with an accuracy of 10 mg , and time for 50 oscillations of the sp...

In an experiment, a set of reading are obtained $- 1.24\text{ }mm,1.25\text{ }mm,1.23\text{ }mm,1.21\text{ }mm$. The expected least count of the instrument used in recording these readings is $\_\_\_\...

When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark of main scale, $4^{\text{th~}}$ mark on vernier scale coincides with certain mark on the main...

In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division $= 0.05\text{ }mm$, then the least count of the vernier callipers is $\_\_\_\_$ mm ....

To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm . The least count of scale is 1 cm . The percentage error in the ratio of EMFs is $\_\_\_\_$

In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measur...

Four persons measure the length of a rod as $20.00\text{ }cm,19.75\text{ }cm,17.01\text{ }cm$ and 18.25 cm . The relative error in the measurement of average length of the rod is :

In an experiment the values of two spring constants were measured as $k_{1} = (10 \pm 0.2)N/m$ and $k_{2} = (20 \pm 0.3)N/m$. If these springs are connected in parallel, then the percentage error in e...

The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be

The period of oscillation of a simple pendulum is T = . Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90s using a wrist watch of 1s...

Accuracy and precision are __(i)___and these are respectively linked with ___(ii)___ & ___(iii)___ .Fill the blanks above in correct order.

In which of the following instruments used in the lab there exists an error of random category known as back lash error(i) Screw gauge (ii) Spherometer (iii) Searle′s apparatus (iv) Vernier call...

When a piece of wire is held diametrically in a screw gauge [pitch = 1mm, number of division on circular scale = 100]. The readings obtained are as shown: Now if we measure the same with help of verni...

If error in measuring diamete r of a circle is 4%, the error in the radius of the circle would be