Student Login

Home›Chapters›Electromagnetic Induction PYQs›Rotating Conductors & AC Generator›Question 9

MHT CET 2024 (9 May, Shift 1) · Rotating Conductors & AC Generator

Rotating Conductors & AC Generator question from MHT CET 2024 (9 May, Shift 1)

Q9MHT CET 2024 · 9 MAY · SHIFT 1Easy

Rotating Conductors & AC Generator

A metal rod of length ' $l$ ' rotates about one of its ends in a plane perpendicular to a magnetic field of induction ' $B$ '. If the e.m.f. induced between the ends of the rod is ' $e$ ', then the number of revolutions made by the rod per second is

Show answer and solution

Answer: (b)

$e = \tfrac{1}{2}B\omega l^2$ with $\omega = 2\pi n$ .
$e = \tfrac{1}{2}B(2\pi n)l^2 = \pi B n l^2$
So the answer is (b) $n = \dfrac{e}{B\pi l^2}$ .

Report a mistake

More questions on Rotating Conductors & AC Generator

A rod of length ' l ' is rotated with angular velocity ' ω ' about its one end…MHT CET 2024 (3 May, Shift 2)
A metal disc of radius R rotates with an angular velocity ω about an axis perpendicular…MHT CET 2024 (15 May, Shift 2)
In an a. c. generator, when the plane of the coil is perpendicular to the magnetic fieldMHT CET 2024 (3 May, Shift 1)
A rod of length 60 cm rotates with a uniform angular velocity 20 rad s⁻¹ about its…JEE Main 2024 (4 Apr, Shift 2)
A bicycle wheel of radius ' R ' has ' n ' spokes. It is rotating at the rate of ' F '…MHT CET 2024 (2 May, Shift 1)
A circular coil of resistance ' R ', area ' A ', number of turns ' N ' is rotated about…MHT CET 2024 (16 May, Shift 2)
A circular coil of resistance R, area A, number of turns ' N ' is rotated about its…MHT CET 2024 (4 May, Shift 1)
A coil of 200 turns and area 0.20 m² is rotated at half a revolution per second and is…JEE Main 2024 (1 Feb, Shift 2)