Student Login

Home›Chapters›Units, Dimensions and Measurement PYQs›Applications of Dimensional Analysis›Question 78

NEET 2010 (AIPMT, Prelims) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from NEET 2010 (AIPMT, Prelims)

Q78NEET 2010 · AIPMT · PRELIMSEasy

Applications of Dimensional Analysis

The dimension of $\frac{1}{2}\varepsilon_0 E^2$ , where $\varepsilon_0$ is permittivity of free space and E is electric field, is

Show answer and solution

Answer: (b)

$\frac{1}{2}\varepsilon_0 E^2$ is the energy density of an electric field (energy per volume).
$[\text{energy}/\text{volume}] = [ML^2T^{-2}]/[L^3] = [ML^{-1}T^{-2}]$ .
So the answer is (b) $[ML^{-1}T^{-2}]$ .

Report a mistake

More questions on Applications of Dimensional Analysis

The velocity v of a particle at time t is given by v = at + (b)/(t + c), where a, b and c…NEET 2006 (AIPMT)
An equation is given here (P + a/V²) = b(θ)/(V) where P = Pressure, V = Volume and θ =…NEET 1996 (AIPMT)
The time dependence of a physical quantity p is given by p = p₀ exp (-at²), where a is a…NEET 1993 (AIPMT)
Turpentine oil is flowing through a tube of length l and radius r. The pressure…NEET 1993 (AIPMT)
The frequency of vibration f of a mass m suspended from a spring of spring constant k is…NEET 1990 (AIPMT)
According to Newton, the viscous force acting between liquid layers of area A and…NEET 1990 (AIPMT)
Consider the equation H = (xp εq Er)/(ts) Where H = magnetic field intensity; E =…JEE Main 2026 (8 Apr, Shift 2)
The potential energy of a particle changes with distance x from a fixed origin as V =…JEE Main 2026 (6 Apr, Shift 1)