Home
Class 11
PHYSICS
The amplitude of vibration of a particle...

The amplitude of vibration of a particle is given by `a_m=(a_0)//(aomega^2-bomega+c)`, where `a_0`, a, b and c are positive. The condition for a single resonant frequency is

A

`b^(2) = 4ac`

B

`b^(2) gt 4ac`

C

`b^(2) = 5ac`

D

`b^(2)= 7ac`

Text Solution

Verified by Experts

The correct Answer is:
A
`a omega^(2) - b omega +c = 0`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NARAYNA|Exercise LEVEL-II (H.W)|1 Videos

  • OSCILLATIONS

    NARAYNA|Exercise DISPLACEMENT, VELOCITY AND ACCELERATION|13 Videos

  • OSCILLATIONS

    NARAYNA|Exercise SIMPLE PENDULUM|14 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

Similar Questions

Explore conceptually related problems

The amplitude of velocity of a particle is given by, V_(m)=V_(0)//(a omega^(2)-b omega+c) where V_(0) , a, b and c are positive : The condition for a single resonant frequency is

The velocity of the particle of mass m as a function of time t is given by v = Aomega.cos[sqrt(K/m)t] , where A is amplitude of oscillation. The dimension of A/K is

The period of oscillation of a particle in SHM is 4sec and its amplitude of vibration is 4cm . The distance of the particle 0.5s after passsing the mean position is

The first obrital of H or H like atom is represencted by psi = 1/( sqrt pi) (Z/a_0) ^(3//2) e^(-ze//a_0) where a_0 = Bohr's orbit . The actual probability of fiding the elercrton at a distance r form the nucleus is :

The cubical container ABCDEFGH which is completely filled with an ideal (nonviscous and incompressible) fluid, moves in a gravity free space with a acceleration of a=a_0 (hat i -hatj +hat k) where a_0 is a positive constant. Then the minimum pressure at the point will be

A particle of mass m moves under the action of a central force. The potential energy function is given by U(r)=mkr^(3) Where k is a positive constant and r is distance of the particle from the centre of attraction. (a) What should be the kinetic energy of the particle so that it moves in a circle of radius a0 about the centre of attraction? (b) What is the period of this circualr motion ?

On the superposition of the two waves given as y_1=A_0 sin( omegat-kx) and y_2=A_0 cos ( omega t -kx+(pi)/6) , the resultant amplitude of oscillations will be

The wave function of 2s electron is given by W_(2s) = (1)/(4sqrt(2pi))((1)/(a_(0)))^(3//2)(2 - (r )/(a_(0)))e^(-1 a0) It has a node at r = r_(p) .Find the radiation between r_(p) and a