Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsUnits and Dimensions

Assertion (A): When we change the unit of measurement of a quantity, its numerical value changes. Reason (R): Smaller the unit of measurement smaller is its numerical value.

Options

  1. ABoth statement I and statement II are correct.
  2. BStatement I is correct and statement II is incorrect.
  3. CStatement I is incorrect and statement II is correct.
  4. DBoth statements I and statements II are incorrect.

Correct answer

C. Statement I is incorrect and statement II is correct.

Step-by-step solution

If (u₁ ) and (u₂ ) be the units to measure a quantity Q and (n₁ ) and (n₂ ) be the numerical values respectively then we know that (Q=n₁ u₁=n₂ u₂ ). Since the quantity (Q ) does not change irrespective of the units used to measure it (Q= ) constant. So nu (= ) constant ( n 1 u ) i.e., smaller the unit of measurement, greater is the corresponding numerical value.

Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

If the errors involved in the measurement of a side and the mass of a cube are 2 % and 4 % respectively, the maximum permissible error in the density of the material is 2026If the mass of the object is measured as m = (7 0.14) kg and the density is measured as = (5 0.25) kg/m ^3 respectively. The percentage error in the measurement of volume is 2026Consider that _s , k_B , b represent Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of _s k_B⁻¹b is : 2026The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is : 2026Each side of a metallic cube of mass 5.580 kg is measured to be 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as X 2026A physical quantity P is related to four observations a, b, c and d as follows : P=a^3 b^2 / c d The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 4 % res 2025A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A . It is filled with a gas of density and takes a sph 2025The quantities which have the same dimensions as those of solid angle are: 2024 Full Units and Dimensions list All NEET PYQs