Units and Measurement questions
875 published questions with worked solutions.
- In the formula X = 5YZ^2, X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y...
- The relative error in the determination of the surface area of a sphere is . Then the relative error in the determination of its...
- In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are 100 circular scale...
- Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional...
- The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the...
- Which of the following combinations has the dimension of electrical resistance ( _0 is the permittivity of vacuum and _0 is the...
- Let ℓ, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of rcv in SI units will...
- The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to...
- If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be:
- The force of interaction between two atoms is given by F = (- x^2 kT ); where x is the distance, k is the Boltzmann constant and...
- The density of a material in SI units is 128 kg m^ -3 . In certain units in which the unit of length is 25 cm and the unit of...
- The dimension of B^2 2 _0 , where B is magnetic field and _0 is the magnetic permeability of vaccum, is :
- For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) A_1 =...
- If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the...
- A quantity f is given by f= hc^5 G where c is speed of light, G universal gravitational constant of light and h is the Planck's...
- Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of...
- Match List-I with List-II. List-I (Number): (A) 1001 (B) 010.1 (C) 100.100 (D) 0.0010010 List-II (Significant figure): (I) 3 (II)...
- 10 divisions on the main scale of a Vernier caliper coincide with 11 divisions on the Vernier scale. If each division on the main...
- The radius (r), length ( ) and resistance (R) of a metal wire was measured in the laboratory as r = (0.35 ± 0.05) cm, R = (100 ±...
- Applying the principle of homogeneity of dimensions, determine which one is correct. where T is time period, G is gravitational...
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