Units and Measurement questions
875 published questions with worked solutions.
- If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in measuring its...
- One main scale division of a vernier callipers is 'a' cm and n^ th division of the vernier scale coincide with (n – 1)th division...
- The resistance R= V I , where V = (50 ± 2)V and I = (20 ± 0.2)A. The percentage error in R is 'x' %. The value of 'x' to the...
- The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that '0'...
- The radius of a sphere is measured to be (7.50 0.85) cm. Suppose the percentage error in its volume is x. The value of x, to the...
- The time period of a simple pendulum is given by T = 2 g . The measured value of the length of pendulum is 10 cm known to a 1 mm...
- If time (t), velocity (v), and angular momentum ( ) are taken as the fundamental units. Then the dimension of mass (m) in terms...
- The period of oscillation of a simple pendulum is T = 2 L g . Measured value of 'L' is 1.0 m from meter scale having a minimum...
- The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of :
- Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale is 5 mm and there are 50...
- Match List I with List II. List-I: (a) Capacitance, C (b) Permittivity of free space, _0 (c) Permeability of free space, _0 (d)...
- A physical quantity 'y' is represented by the formula y=m^2r^ -4 g^xl^ -3/2 . If the percentage errors found in y, m, r, l and g...
- Which of the following is not a dimensionless quantity ?
- If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be :
- Match List I with List II. List-I: (a) R_H (Rydberg constant) (b) h(Planck's constant) (c) (Magnetic field energy density) (d)...
- If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density?
- Match List-I with List-II. List-I: (a) Torque (b) Impulse (c) Tension (d) Surface Tension List-II: (i) MLT^ -1 (ii) MT^ -2 (iii)...
- Which of the following equations is dimensionally incorrect ? Where t = time, h = height, s = surface tension, = angle, =...
- The pitch of the screw gauge is 1mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws,...
- Match List-I with List-II : List-I: (a) h (Planck's constant) (b) E (kinetic energy) (c) V (electric potential) (d) P (linear...
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