JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The unit of \(\sqrt{\frac{2 \mathrm{I}}{\epsilon_0 c}}\) is :
(I = intensity of an electromagnetic wave, \(\mathrm{c}:\) speed of light)
- A Vm
- B NC
- C Nm
- D \(\mathrm{NC}^{-1}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{NC}^{-1}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{I}=\frac{1}{2} \epsilon_0 \mathrm{E}_0^2 \times \mathrm{C} \\ & \mathrm{E}_0=\sqrt{\frac{2 \mathrm{I}}{\epsilon_0 \mathrm{C}}} \end{aligned}\) \(E_0\) : electric field N/C
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is ________ \(\mu\)J.
(\(\frac{1}{4\pi\epsilon_{0}} = 9 \times 10^{9}\ N.m^{2}/C^{2}\))JEE Mains 2026 Hard - A body takes \(10\, minutes\) to cool from \(60\,^oC\) to \(50\,^oC\). The temperature of surroundings is constant at \(25\,^oC\). Then, the temperature of the body after next \(10\, minutes\) will be approximately ....... \(^oC\)JEE Mains 2018 Medium
- A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?JEE Mains 2026 Medium
- A person driving car at a constant speed of \(15\,m / s\) is approaching a vertical wall. The person notices a change of \(40\,Hz\) in the frequency of his car's horn upon reflection from the wall. The frequency of horn is ............ \(Hz\). (Given : Speed of sound : \(330\,m / s\) )JEE Mains 2023 Hard
- The resistance \(\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}\) where \(\mathrm{V}=(200 \pm 5) \mathrm{V}\) and \(I=(20 \pm 0.2) A\), the percentage error in the measurement of \(R\) is _______.JEE Mains 2024 Hard
- Two projectiles \(A\) and \(B\) are thrown with initial velocities of \(40\,m / s\) and \(60\,m / s\) at angles \(30^{\circ}\) and \(60^{\circ}\) with the horizontal respectively. The ratio of their ranges respectively is \(\left( g =10\,m / s ^2\right)\)JEE Mains 2023 Easy
More PYQs from JEE Mains
- Let \(\mathrm{g}: \mathrm{N} \rightarrow \mathrm{N}\) be defined as \(g(3 n+1)=3 n+2\) \(g(3 n+2)=3 n+3\) \(g(3 n+3)=3 n+1, \text { for all } n \geq 0\) Then which of the following statements is true?JEE Mains 2021 Hard
- An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is ___________. \((\pi=3.14)\)JEE Mains 2026 Hard
- Let \(A B C\) be an isosceles triangle in which \(A\) is at \((-1,0), \angle A=\frac{2 \pi}{3}, A B=A C\) and \(B\) is on the positive \(\mathrm{x}\)-axis. If \(\mathrm{BC}=4 \sqrt{3}\) and the line \(\mathrm{BC}\) intersects the line \(y=x+3\) at \((\alpha, \beta)\), then \(\frac{\beta^4}{\alpha^2}\) is :JEE Mains 2024 Hard
- The locus of the mid point of the line segment joining the point \((4,3)\) and the points on the ellipse \(x^{2}+2 y^{2}=4\) is an ellipse with eccentricityJEE Mains 2022 Hard
- The length of the perpendicular drawn from the point \((2, 1, 4)\) to the plane containing the lines \(\vec r = \left( {\hat i + \hat j} \right) + \lambda \left( {\hat i + 2\hat j - \hat k} \right)\,\) and \(\vec r = \left( {\hat i + \hat j} \right) + \mu \left( { - \hat i + \hat j - 2\hat k} \right)\) isJEE Mains 2019 Hard
- A deviation of \(2^{\circ}\) is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass are \(0.02\) and \(0.03\) respectively and refractive index for yellow light for these glasses are \(1.5\) and \(1.6\) respectively. The refracting angles for crown glass prism will be \(........\,^{\circ}\) (in degree) (Round off to the Nearest Integer)JEE Mains 2021 Hard