Units and Measurement questions
875 published questions with worked solutions.
- The density ρ of a uniform cylinder is determined by measuring its mass m, length l and diameter d. The measured values of m, l...
- A new unit (α) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and...
- Consider the equation H= x^p ^qE^r t^s , where H = magnetic field; E = electric field, ε = permittivity, x = distance, t = time....
- A metal wire has mass (0.4 0.002) g, radius (0.3 0.001) mm and length (5 0.02) cm. The maximum possible percentage error in the...
- The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :
- A screw gauge gives the following readings when used to measure the diameter of a wire. Main scale reading : 0 mm; Circular scale...
- The de-Broglie wavelength associated with a particle of mass m and energy E is h/ 2mE . The dimensional formula for Planck's...
- The dimensional formula of latent heat is:
- One main scale division of a vernier caliper is equal to m units. If nth division of main scale coincides with (n + 1)ᵗʰ division...
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In...
- The equation of state of a real gas is given by (P + a V^2 )(V - b) = RT, where P, V and T are pressure, volume and temperature...
- Identify the physical quantity that cannot be measured using spherometer :
- Given below are two statements: Statement (I): Planck's constant and angular momentum have same dimensions. Statement (II):...
- A physical quantity Q is found to depend on quantities a, b, c by the relation Q = a^4b^3 c^2 . The percentage error in a, b and...
- The resistance R = V/I where V = (200 ± 5) V and I = (20 ± 0.2) A, the percentage error in the measurement of R is-
- If mass is written as m = kc^P G^ −1/2 h^ 1/2 then the value of P will be : (Constants have their usual meanings with k a...
- If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main scale is...
- Match List-I with List-II. List-I: (A) Coefficient of viscosity, (B) Surface tension, (C) Angular momentum, (D) Rotational...
- Consider two physical quantities A and B related to each other as E = B - x^2 At where E, x and t have dimensions of energy,...
- A force is represented by F = ax² + bt^ 1/2 . Where x = distance and t = time. The dimensions of b²/a are :
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