JEE Mains · Physics · STD 12 -6. Electromagnetic induction
A metallic conductor of length \(1\; m\) rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity \(5 \;rad / s\). If the horizontal component of earth's magnetic field is \(0.2 \times 10^{-4} \;T\), then emf induced between the two ends of the conductor is .............
- A \(5 \; \mu V\)
- B \(50 \; \mu V\)
- C \(5 \; mV\)
- D \(50 \; mV\)
Answer & Solution
Correct Answer
(B) \(50 \; \mu V\)
Step-by-step Solution
Detailed explanation
emf induced between the two ends \(=\frac{B_{H} \omega l^{2}}{2}\) \(\frac{0.2 \times 10^{-4} \times 5 \times 1}{2}=0.5 \times 10^{-4}=50 \times 10^{-6} \; V =50 \; \mu V\)
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
- The radius of fifth orbit of the \(L ^{++}\)is \(.........\times 10^{-12}\,m\). Take : radius of hydrogen atom \(=0.51 \mathring A\)JEE Mains 2023 Medium
- The electric field component of a monochromatic radiation is given by \(\vec E = 2{E_0}\,\hat i\,\cos\, kz\,\cos\, \omega t\) Its magnetic field \(\vec B\) is then given byJEE Mains 2017 Hard
- The time dependence of the position of a particle of mass \(m = 2\) is given by \(\vec r\,(t)\, = \,2t\,\hat i\, - 3{t^2}\hat j\) Its angular momentum with respect to the origin at time \(t = 2\) isJEE Mains 2019 Hard
- Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:JEE Mains 2023 Medium
- The distance between charges \(+\mathrm{q}\) and \(-\mathrm{q}\) is \(2 l\) and between \(+2 \mathrm{q}\) and \(-2 \mathrm{q}\) is \(4 l\). The electrostatic potential at point \(P\) at a distance \(r\) from centre \(O\) is \(-\alpha\left[\frac{q l}{r^2}\right] \times 10^9 \mathrm{~V}\), where the value of \(\alpha\) is _______. (Use \(\left.\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)\)
JEE Mains 2024 Hard - Find the magnetic field at the point \(P\) in figure. The curved portion is a semicircle connected to two long straight wires.
JEE Mains 2023 Medium
More PYQs from JEE Mains
- Let \(f(x)=x-1\) and \(g(x)=e^x\) for \(x \in \mathbb{R}\). If \(\frac{d y}{d x}=\left(e^{-2 \sqrt{x}} g(f(f(x)))-\frac{y}{\sqrt{x}}\right), y(0)=0\), then \(y(1)\) is :-JEE Mains 2025 Medium
- The density of a material in \(SI\, units\) is \(128\, kg\, m^{-3}\). In certain units in which the unit of length is \(25\, cm\) and the unit of mass \(50\, g\), the numerical value of density of the material isJEE Mains 2019 Medium
-

\(\begin{array}{c|c|c} A & B & Y \\\hline 0 & 0 & 1 \\0 & 1 & 1 \\1 & 0 & 0 \\1 & 1 & 1\end{array}\)
To obtain the given truth table, following logic gate should be placed at G :JEE Mains 2025 Easy - If the coefficient of \(x ^7\) in \(\left(a x-\frac{1}{b x^2}\right)^{13}\) and the coefficient of \(x^{-5}\) in \(\left(a x+\frac{1}{b x^2}\right)^{13}\) are equal, then \(a^4 b^4\) is equal to :JEE Mains 2023 Hard
- If the volume of a spherical ball is increasing at the rate of \(4 \pi \, cc/sec\), then the rate of increase of its radius (in \(cm/sec\)), when the volume is \(288 \pi \, cc\)JEE Mains 2014 Hard
- Let 729, 81, 9, 1, .... be a sequence and \( P_{n} \) denote the product of the first n terms of this sequence. If \( 2\sum_{n=1}^{40}(P_{n})^{\frac{1}{n}}=\frac{3^{\alpha}-1}{3^{\beta}} \) and \( \gcd(\alpha,\beta)=1 \), then \( \alpha+\beta \) is equal toJEE Mains 2026 Hard