JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
In terms of resistance \(R\) and time \(T\), the dimensions of ratio \(\frac{\mu } {\varepsilon }\) of the permeability \(\mu \) and permittivity \(\varepsilon \) is
- A \(\left[ {R{T^{ - 2}}} \right]\)
- B \(\left[ {{R^2}{T^{ - 1}}} \right]\)
- C \(\left[ {{R^2}} \right]\)
- D \(\left[ {{R^2}{T^2}} \right]\)
Answer & Solution
Correct Answer
(C) \(\left[ {{R^2}} \right]\)
Step-by-step Solution
Detailed explanation
\begin{array}{l} {\rm{dimensions of}}\,\mu = \left[ {ML{T^{ - 2}}{A^{ - 2}}} \right]\\ {\rm{dimensions of}}\, \in \, = \,\left[ {{M^{ - 1}}{L^{ - 3}}{T^4}{A^2}} \right]\\ {\rm{dimensions of}}\,R\, = \left[ {M{L^2}{T^{ - 3}}{A^{ - 2}}} \right]\\ \therefore \frac{{{\rm{dimensions…
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
- If the maximum value of accelerating potential provided by a ratio frequency oscillator is \(12\, {kV}\). The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ....... . \(\left[{m}_{{p}}=1.67 \times 10^{-27} {kg}, {e}=1.6 \times 10^{-19} {C},\right.\) Speed of light \(\left.=3 \times 10^{8} {m} / {s}\right]\)JEE Mains 2021 Hard
- Find the truth table for the function \(Y\) and \(A\) and \(B\) represented in the following figure.
JEE Mains 2021 Medium - A rod of length \(50\,cm\) is pivoted at one end. It is raised such that if makes an angle of \(30^o\) fro the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in \(rad\,s^{-1}\) ) will be \((g = 10\,ms^{-2})\)
JEE Mains 2019 Medium - In a series \(L R\) circuit \(X_{L}=R\) and power factor of the circuit is \(P _{1}\). When capacitor with capacitance \(C\) such that \(X _{ L }= X _{ C }\) is put in series, the power factor becomes \(P_{2}\). The ratio \(\frac{ P _{1}}{ P _{2}}\) isJEE Mains 2022 Medium
- The equilateral triangle \(ABC\) is cut from a thin solid sheet of wood. (See figure) \(D, E\) and \(F\) are the mid points of its sides as shown and \(G\) is the centre of the triangle. The moment of inertia of the triangle about an axis passing through \(G\) and perpendicular to the plane of the triangle is \(I_0.\) If the smaller triangle \(DEF\) is removed from \(ABC,\) the moment of inertia of the remaining figure about the same axis is \(I.\) Then
JEE Mains 2019 Hard - The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is \(n\) times the volume of the bubble \(B\), then, the value of \(n\) is ___.JEE Mains 2025 Easy
More PYQs from JEE Mains
- The area (in sq. units) in the first quadrant bounded by the parabola, \(y = x^2 +1\), the tangent to it at the point \((2, 5)\) and the coordinate axes isJEE Mains 2019 Hard
- If the sum of solutions of the system of equations \(2 \sin ^{2} \theta-\cos 2 \theta=0\) and \(2 \cos ^{2} \theta+3 \sin \theta=0\) in the interval \([0,2 \pi]\) is \(k \pi\), then \(k\) is equal to.JEE Mains 2022 Hard
- Let \(a, b \in R\). Let the mean and the variance of \(6\) observations \(-3,4,7,-6\), \(a,\ b\) be \(2\) and \(23\) , respectively. The mean deviation about the mean of these \(6\) observations is :JEE Mains 2024 Medium
- A spherical drop of liquid splits into \(1000\) identical spherical drops. If \(u _{ i }\) is the surface energy of the original drop and \(u_f\) is the total surface energy of the resulting drops, the (ignoring evaporation). \(\frac{u_f}{u_i}=\left(\frac{10}{x}\right)\). Then value of \(x\) is \(......\)JEE Mains 2023 Medium
- Let p be the number of all triangles that can be formed by joining the vertices of a regular polygon P of n sides and q be the number of all quadrilaterals that can be formed by joining the vertices of \(P\). If \(p+q=126\), then the eccentricity of the ellipse \(\frac{x^2}{16}+\frac{y^2}{n}=1\) is :JEE Mains 2025 Medium
- The three charges \(q / 2, q\) and \(q / 2\) are placed at the corners \(A , B\) and \(C\) of a square of side ' \(a\) ' as shown in figure. The magnitude of electric field \((E)\) at the comer \(D\) of the square, is
JEE Mains 2022 Medium