Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20225 Aug 2022Evening ShiftPhysicsOscillationsActual

A simple pendulum with bob of mas ' m ' and conducting wire of length ' L ' swings under gravity through an angle ' '. The component of earth's magnetic field in the direction perpendicular to swing is ' B '. Maximum e.m.f. induced across the pendulum is ( g = acceleration due to gravity)

Options

  1. ABL ( 2 )( gL )
  2. B2 BL ( 2 )( gL )^2
  3. C2 BL ( 2 )( gL )^ 3 / 2
  4. D2 BL ( 2 )( gL )^ 1 / 2

Correct answer

D. 2 BL ( 2 )( gL )^ 1 / 2

Step-by-step solution

We have, h = L (1- ) Maximum velocity at equilibrium position is given by, aligned & v ^2=2 gh =2 gL (1- )=2 gL (2 ^2 ( 2 ) ) & v =2 ( 2 ) gL aligned Thus Maximum potential difference, V _ = BvL =2 BL ( 2 ) gL

Practice Oscillations on Quantrex Academy →

More from Oscillations

Force constant of interatomic bond, in a certain element, is 7.1 Nm⁻¹ . If the atom oscillates in SHM in a certain direction, what is its frequency? Given: Mole weight of the given 2026An object of mass 10g executes SHM along the x -axis with frequency of ( 10 ) Hz. At the point x = 2 cm the object has KE 1.2 J and PE 0.4 J. The amplitude of oscillation is 2026A simple pendulum of length L , mass m and electric charge q on its bob is oscillating with a time period T under uniform gravity which is in the - z direction. Upon applying a uni 2026A sphere and a cube of equal masses on a horizontal frictionless floor, are confined between two vertical walls, as shown in the figure. The cube is attached to the wall by a massl 2026A mass of 1 kg is executing SHM. Its displacement is given by x = 6.0 (100t + /4) cm. What is the maximum kinetic energy? 2026If the displacement of a particle executing simple harmonic motion is given by x =0.5 (125.6 t ) , then the time period of oscillation of the particle is nearly (Here x is displace 2025The amplitude of a damped harmonic oscilator becomes 50 % of its initial value in a time of 12 s. If the amplitude of the oscillator at a time of 36 s is x % of its initial amplitu 2025If the function ^2 t ( t is time in second) represents a periodic motion, then the period of the motion is 2025 Full Oscillations list All MHT CET PYQs