Unit and Measurement Questions

If A, B and C are physical quantities such that A and B have same dimensions while C has different dimensions, then choose the meaningful expression.

Distance moved by a screw in 5 rotations is 5 mm and total number of circular divisions are 100. The least count of the screw gauge is;

The dimensional formula for energy is;

The internal and external diameter of a hollow cylinder are measured with the help of vernier callipers. Their values are (4.23 ± 0.01) cm and (3.87 ± 0.01) cm respectively. The thickness of the wall of the cylinder with error limits is:

A packet contains silver powder having mass (20.23 ± 0.01) g. Some additional powder of mass (5.75 ± 0.01) g is added to the packet, the total mass of the powder now is;

1 Astronomical unit = ______ meter. (approximately)

While measuring acceleration due to gravity by a simple pendulum a student makes a percentage error of 1% in measuring the length of the pendulum and a percentage error of 3% in measuring the value of the time period. The maximum percentage error in

If momentum (P), area (A) and time (T) are taken to be fundamental quantities, then the dimensional formula for energy is:

If dimensions of A and B are different, then which of the following operation is valid?

If P = (a²b²) / c and percentage error in a = ±1%, b = ±2% and c = ±3%, then percentage error in P is:

If observations are made n times, then the systematic error:

α = (F / v²) sin(βt) (where v = velocity, F = force, t = time). Find the dimension of α and β respectively.

A screw gauge gives the following readings when used to measure the diameter of a wireMain scale reading : 0 mmCircular scale reading : 52 divisionsGiven that displacement of 1 mm on main scale corresponds to one complete rotation of circular scale h

In main scale of a vernier callipers 1 cm divided into 10 equal divisions. The vernier scale has 10 equal division that correspond to 9 main scale divisions. The measured value by this calliper is;

A vernier callipers has 1 mm marks on the mainscale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this Vernier callipers, the least count is;

If area (A), velocity (v) and density () are base units, then the dimensional formula of force can be represented as;

A force F is applied onto a square plate of side L. If the percentage error in determining L is 2% and that in F is 4%, the permissible percentage error in determining the pressure is;

Write the dimensions of a/b in the relation P = (a - t²) / bx; where P is the pressure, x is thedistance, and t is the time;

Which of the following statements is/are correct?A. Change of units does not change the numberof significant digits.B. All the non zero digits are significant.C. All the zeros between two non zero digits aresignificant.Choose the most appropriate ans

Mass of a body is 211 gm and its density is 7.981 cm3 what will be its volume, with regard to significant figures?

The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is

Round off the value 2.845 to three significant figures.

Random error can be eliminated by:

The number of significant zeroes present in the measured value 0.020040, is;

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R:Assertion A: Absolute error is always positive.Reason R: Absolute error is the magnitude of difference between the real value and the measured value

The radius of a sphere is (2.6 ± 0.1) cm. The percentage error in its volume is;

A unitless quantity;

The velocity v of a particle at time t is given by v = at + (b/(t+c)), where a, b and c are constants.The dimensions of a, b and c are;

The percentage error in the measurement of the voltage V is 3% and in the measurement of the current I is 2%. The percentage error in the measurement of the resistance is { R = V / I };

The number of significant figures in 410.1 is;

In force, velocity and time are taken as fundamental quantities, find the dimension of work.

The density of a material in CGS system of units is 4g/cm3. In a new system of units, unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be;

A force F is given by F = at + bt2, where t is time. The dimensions of a and b respectively are;