The dimension of $\frac{1}{2} \varepsilon_0 E ^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is
AIPMT 2010,AIIMS 2014,IIT 2000, Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1If velocity $[V],$ time $[T]$ and force $[F]$ are chosen as the base quantities, the dimensions of the mass will beView Solution
- 2View SolutionWhich of the following practical units of length is not correct?
- 3In equation $y=x^2 \cos ^2 2 \pi \frac{\beta \gamma}{\alpha}$, the units of $x, \alpha, \beta$ are $m , s ^{-1}$ and $\left( ms ^{-1}\right)^{-1}$ respectively. The units of $y$ and $\gamma$ areView Solution
- 4The unit of permittivity of free space ${\varepsilon _0}$ isView Solution
- 5The distance of the Sun from earth is $1.5 \times 10^{11} \,m$ and its angular diameter is $(2000) \,s$ when observed from the earth. The diameter of the Sun will be ...........View Solution
- 6Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as $4.62 \mathrm{~s}, 4.632 \mathrm{~s}, 4.6 \mathrm{~s}$ and $4.64 \mathrm{~s}$. The arithmetic mean of these reading in correct significant figure is.View Solution
- 7The equation $\left( {P + \frac{a}{{{V^2}}}} \right)$ $(V - b)$ constant. The units of $a$ areView Solution
- 8The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively $1.5\%$ and $1\%$, the maximum error in determining the density is ........ $\%$View Solution
- 9View SolutionThe physical quantity that has no dimensions
- 10View SolutionThe pair having the same dimensions is