JEE Advanced Units and Measurements — previous year questions
37 questions from 2026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2016, 2015, 2014, 2013, 2012, 2005, 2004, 2003, 2001, 2000, 1998, 1997, 1995, 1988, 1986, 1985, 1982, 1981, 1980.
- In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s and 5 A,…
- In a single slit diffraction experiment, a slit of width (0.016 ± 0.002) mm is used to measure the wavelength…
- A temperature difference can generate e.m.f. in some materials. Let S be the e.m.f. produced per unit…
- Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm,…
- A dimensionless quantity is constructed in terms of electronic charge e, permittivity of free space ε₀,…
- The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and…
- Young's modulus of elasticity Y is expressed in terms of three derived quantities, namely, the gravitational…
- Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5 mm.…
- In a particular system of units, a physical quantity can be expressed in terms of the electric charge e,…
- A physical quantity S⃗ is defined as S⃗ = (E⃗ × B⃗)/μ₀, where E⃗ is electric field, B⃗ is magnetic field and…
- Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of…
- Let us consider a system of units in which mass and angular momentum are dimensionless. If length has…
- A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (k_B), the…
- In terms of potential difference V, electric current I, permittivity ε₀, permeability μ₀ and speed of light…
- Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a…
- The energy of a system as a function of time t is given as E(t)=A^2 exp(-alpha t), where alpha=0.2 s^-1. The…
- To find the distance d over which a signal can be seen clearly in foggy conditions, a railways-engineer uses…
- Match List I with List II and select the correct answer using the codes given below the lists: | List I |…
- Using the expression 2d sin θ = λ, one calculates the values of d by measuring the corresponding angles θ in…
- Let [ε₀] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and…
- Which of the following set have different dimensions?
- Pressure depends on distance as, P = (α/β)exp(-α z/(kθ)), where α, β are constants, z is distance, k is…
- A wire of length ell = 6 ± 0.06 cm and radius r = 0.5 ± 0.005 cm and mass m = 0.3 ± 0.003 gm. Maximum…
- A cube has a side of length 1.2 × 10⁻² m. Calculate its volume.
- A quantity X is given by ε₀ L (Δ V)/(Δ t) where ε₀ is the permittivity of the free space, L is a length, Δ V…
- The dimension of (1/2)ε₀ E² (ε₀: permittivity of free space, E electric field)
- The SI unit of inductance, the henry can be written as
- Let [ε₀] denote the dimensional formula of the permittivity of the vacuum, and [μ₀] that of the permeability…
- The dimension of electrical conductivity is ________.
- The equation of state for real gas is given by (P+a/V²)(V-b)=RT. The dimensions of the constant a is ______.
- The pairs of physical quantities that have the same dimensions is (are) :
- In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. The…
- The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair(s)
- Planck's constant has dimension underlinehspace2.5cm,
- A gas bubble, from an explosion under water, oscillates with a period T proportional to pᵃdᵇEᶜ. Where 'P' is…
- A gas bubble, from an explosion under water, oscillates with a period T proportional to pᵃdᵇEᶜ. Where 'P' is…
- Give the MKS units for each of the following quantities. (A) Young's modulus (B) Magnetic Induction (C) Power…