AIIMS Physics Units And Measurement Class 11 Questions

What is the dimension of Luminous flux:

The mean percentage error can be calculated as, MPE = \frac{1}{n} \sum \left( \frac{x - \bar{x}}{x} \right) \times 100\% The mean value of the errors is calculated as, \text{Mean of the errors} = \frac{80 + 80.5 + 81 + 81.5 + 82}{5} = 81 | x | x - \bar{x} | \frac{x - \bar{x}}{x} | |-----|------------|------------------| | 80.0 | 1.0 | 0.0125 | | 80.5 | 0.5 | 0.0062 | | 81.0 | 0 | 0 | | 81.5 | 0.5 | 0.0061 | | 82.0 | 1.0 | 0.0122 | Sum = 0.037

Assertion is true but reason is false.

Since zeros placed to the left of the number are never significant, but zeros placed to right of the number are significant

Let the expression of velocity is v = kλᵃρᵇgᶜ. Substitute dimensional formula, [M⁰LT⁻¹] = Lᵃ [ML⁻³]ᵇ [LT⁻²]ᶜ = [MᵇLᵃ⁻³ᵇ⁺ᶜT⁻²ᶜ]. Compare powers of the both sides, b = 0, -2c = -1 ⇒ c = 1/2, a - 3b + c = 1 ⇒ a = 1/2. Thus, v ∝ λ¹/²ρ⁰g¹/², v² ∝ λg.

If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

Calculate the percentage error in the measurement using the formula: \( \frac{\Delta Q}{Q} \times 100 = \frac{2\Delta I}{I} \times¹⁰⁰⁺ \frac{\Delta R}{R} \times¹⁰⁰⁺ \frac{\Delta t}{t} \times 100 \).

In terms of basic units of mass (M), length (L), time (T) and charge (Q), the dimensions of magnetic permeability of vacuum ($\mu_0$) would be

If the energy, E = Gⁿhⁿcⁿ, where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values of p, q and r are, respectively

Which of the following pairs does not have same dimensions?

The dimensional formula of Planck's constant is

Which of the following physical quantities do not have same dimensions?

“Parsec” is the unit of

Dimension of electrical resistance is

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permittivity is

Length cannot be measure by

The dimension of torque is

If vectors P = ai + aj + 3k and Q = ai - 2j - k are perpendicular to each other, then the positive value of a is

Assertion : S.I. units are logical and coherent. Reason : S.I. system of units is a rationalised system.

Speed in kilometer per hour in S.I. unit is represented as

Which of the following physical quantities do not have same dimensions?

S.I. unit of velocity is

A body of mass 20.00 g has volume 5.0 cm³. The maximum possible error in the measurement of mass and volume respectively are 0.01 and 0.1 cm³. The percentage error in density will be nearest to