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The pairs of physical quantities that have the same dimensions are
In the formula X = 3YZ^{2}, X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system ?
[JEE1995,2/100]
The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 × 10^{–3} are
Let [ε_{0}] denote the dimensional formula of the permittivity of the vaccum, and [μ_{0}] that of the permeability of the vacuum. If M = mass, L = length, T = time and I = electric current :
[JEE1998' 2/200]
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let 'N' be the number density of free electrons, each of mass 'm'. When the electrons are subjected to an electric field, they are displaced relatively away from the heavy positive ions. If the electric field becomes zero, the electrons begin to oscillate about the positive ions with a natural angular frequency 'wP' which is called the plasma frequency. To sustain the oscillations, a time varying electric field needs to be applied that has an angular frequency w, where a part of the energy is absorbed and a part of it is reflected. As w approaches wP, all the free electrons are set to resonance together and all the energy is reflected. This is the explanation of high reflectivity of metals.
Taking the electronic charge as 'e' and the permittivity as 'ε0', use dimensional analysis to determine the correct expression for wP.
A quantity X is given by ε_{0}L . where ε_{0} is the permittivity of free space, L is length, ΔV is potential difference and Δt is time interval. The dimensional formula for X is the same as that of
[JEE Sc.2000'3/105]
Pressure depends on distance as, P = , where α, β are constants, z is distance, k is Boltzmann's constant and q is temperature. The dimension of β are
[JEE2004s '3/84]
Which of the following set have different dimensions ?
[JEE2005s ; 3/60]
What is the percentage error in the physical quantity A If it is related to four other physical quantities a,b, c and d as The percentage error in measurement of a,b,c and d are 1% , 3% 2% and 1% respectively
130 videos483 docs210 tests

130 videos483 docs210 tests
