MHT CET · Physics · Electromagnetic Induction
When a rod of length \(l\) is rotated with angular velocity of \(\omega\) in a perpendicular field of induction \(B\), about one end, the emf across its ends is
- A \(B l^{2} \omega\)
- B \(\frac{B l^{2} \omega}{2}\)
- C \(Bl\omega\)
- D \(\frac{B l \omega}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{B l^{2} \omega}{2}\)
Step-by-step Solution
Detailed explanation
A conducting rod of length \(l\) whose one end is fixed, is rotated about the axis passing through its fixed end and perpendicular to its length with constant angular velocity \(\omega\). Magnetic field \((B)\) is perpendicular to the plane of the paper. Emf induced across the ends of the rod is \(e=B A n\)
\(
\begin{array}{l}
=B \pi l^{2} n \\
=\frac{B l^{2} \pi}{T} \\
=\frac{1}{2} B l^{2} \omega
\end{array}
\)
\(
\begin{array}{l}
=B \pi l^{2} n \\
=\frac{B l^{2} \pi}{T} \\
=\frac{1}{2} B l^{2} \omega
\end{array}
\)
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
- A block of mass 'M' is moving on rough horizontal surface with momentum 'P'. The coefficient of friction between the block and surface is ' \(\mu\) '. The distance covered by block before it stops is \([\mathrm{g}=\) acceleration due to gravity \(]\)MHT CET 2020 Medium
- In the given figure, the equivalent capacitance between points \(A\) and \(B\) is
MHT CET 2023 Easy - A particle of mass \(m\) is projected with velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will beMHT CET 2008 Easy
- When a d.c voltage of \(200 \mathrm{~V}\) is applied to a coil of self-inductance \(\left(\frac{2 \sqrt{3}}{\pi}\right) \mathrm{H}\), a current of 1A flows through it. But by replacing d.c. source with a.c. source of \(200 \mathrm{~V}\), the current in the coil is reduced to \(0.5 \mathrm{~A}\). Then the frequency of a.c. supply isMHT CET 2021 Hard
- Which one of the following combination of constants has dimensions of time? \([\mathrm{G}=\) constant of gravitation, \(\mathrm{h}=\) Planck's constant, \(\mathrm{c}=\) velocity of light \(]\)MHT CET 2020 Hard
- An electromagnetic wave, whose wave normal makes an angle of \(45^{\circ}\) with the vertical, travelling in air strikes a horizontal liquid surface. While travelling through the liquid it gets deviated through \(15^{\circ}\). What is the speed of the electromagnetic wave in the liquid, if the speed of electromagnetic wave in air is \(3 \times 10^8 \mathrm{~m} / \mathrm{s}\) ? \(\left(\sin 30^{\circ}=0 \cdot 5, \sin 45^{\circ}=\frac{1}{\sqrt{2}}\right)\)MHT CET 2023 Medium
More PYQs from MHT CET
- Which of the following is true for the value of \(\Delta \mathrm{H}-\Delta \mathrm{U}\) at constant volume?MHT CET 2024 Easy
- Which of the following reactions involves \(\alpha\) -halogenation of carboxylic acid?MHT CET 2020 Easy
- If \(x^y=e^{x-y}\), then \(\frac{d y}{d x}=\)MHT CET 2022 Hard
- A particle with position vector \(\overrightarrow{\mathrm{r}}\) has a linear momentum \(\overrightarrow{\mathrm{p}}\). Which one of the following statements is true in respect of its angular momentum ' \(\overrightarrow{\mathrm{L}}\) ' about the origin?MHT CET 2021 Easy
- Which of the following statements is NOT true about Buna-S?MHT CET 2022 Easy
- \(\lim _{x \rightarrow 2}\left(\frac{5^x+5^{3-x}-30}{5^{3-x}-5^{\frac{x}{2}}}\right)=\)MHT CET 2024 Hard