Force on a particle is given by: F = -kx^n. For what values of n will the motion be oscillatory?(a) 3(b) 4(c) Any integer(d) It cannot be oscillatory for any value of nThis question was posed to me in an online quiz.The above asked question is from Periodic and Oscillatory Motions topic in section Oscillations of Physics – Class 11

Force on a particle is given by: F = -kx^n. For what values of n will

1.	Force on a particle is given by: F = -kx^n. For what values of n will the motion be oscillatory?(a) 3(b) 4(c) Any integer(d) It cannot be oscillatory for any value of nThis question was posed to me in an online quiz.The above asked question is from Periodic and Oscillatory Motions topic in section Oscillations of Physics – Class 11
Answer» Correct option is (a) 3 To elaborate: For motion to be OSCILLATORY there has to be an equilibrium position TOWARDS which the force is acting throughout the motion.In the expression, F = -kx^n,If n is even, force will ALWAYS act in one direction.If n is odd, force will change direction when x changes direction and will always act towards the origin.Hence, motion will be oscillatory if n is odd.Thus, from the given options 3 is correct.

Discussion

No Comment Found

Related InterviewSolutions

Damping force on a spring mass system is proportional to which of the following quantities?(a) Velocity(b) Acceleration(c) Displacement from mean position(d) (velocity)^2I had been asked this question in an online interview.My question is taken from Oscillations in division Oscillations of Physics – Class 11
What will happen to the time period of a simple pendulum if temperature of the surroundings is significantly increased?(a) Increase(b) Decrease(c) Remain the same(d) The oscillations come to a stopThis question was posed to me during an online interview.My question is from Oscillations topic in section Oscillations of Physics – Class 11
In an SHM the time taken to go from mean position to A/2 is the same as that from A/2 to A. True or False? Here, A is the amplitude of motion.(a) True(b) FalseI have been asked this question in a national level competition.The above asked question is from Simple Harmonic Motion in portion Oscillations of Physics – Class 11
A particle is undergoing SHM with amplitude 10cm. The maximum speed it achieves is 1m/s. Find the time it takes to reach from the mean position to half the amplitude.(a) π/60 s(b) π/30 s(c) π/15 s(d) π/40 sI got this question by my college director while I was bunking the class.This is a very interesting question from Simple Harmonic Motion in portion Oscillations of Physics – Class 11
What happens to the energy of a particle, in SHM, with time in the presence of damping forces?(a) Stays constant(b) Decreases linearly(c) Decreases exponentially(d) Decreases cubicallyI have been asked this question by my school teacher while I was bunking the class.My query is from Oscillations in section Oscillations of Physics – Class 11
A particle of mass m starts from the mean position of a SHM, at t=0, and goes towards -A. If the angular frequency of SHM is w, find the force acting on it as a function of time.(a) mAw^2sin(wt)(b) mAw^2sin(wt+π)(c) -mAw^2cos(wt+π)(d) -mAw^2cos(wt)I had been asked this question during an online exam.This key question is from Oscillations topic in section Oscillations of Physics – Class 11
Consider a particle undergoing an SHM of amplitude A & angular frequency w. What is the magnitude of displacement from the mean position when kinetic energy is equal to the magnitude of potential energy?(a) A/2(b) A/√2(c) A/3(d) A/4This question was addressed to me by my college director while I was bunking the class.My question is from Oscillations topic in chapter Oscillations of Physics – Class 11
A spring mass system is hanging from the ceiling of a lift. It has been like this for quite some time. Suddenly the cables holding the lift are cut. What will be the amplitude of oscillation of the block when observed by a person standing (of mass M) in the lift?(a) mg/k(b) (M-m)g/k(c) The observer will not observe a SHM(d) 2mg/kThis question was posed to me in an online interview.I'd like to ask this question from Oscillations in chapter Oscillations of Physics – Class 11
Consider the damped SHM of a spring mass system. If the time taken for the amplitude to become half is ‘T’, what is the time taken for mechanical energy to become half?(a) T(b) T/2(c) 2T(d) T/4I have been asked this question in a national level competition.My question is from Oscillations topic in section Oscillations of Physics – Class 11
Let T1 be the time period of a single spring mass system on a horizontal surface. Let T2 be the time period of the same system when hung from the ceiling. What is the expression for T1 & T2?(a) T1 = T2 = 2π √(k/m)(b) T1 = 2π √(m/k), T2 = 2π √(mg/k)(c) T1 = T2 = 2π √(m/k)(d) T1 = 2π √(m/k), T2 = 2π √(k/mg)This question was posed to me in an interview for job.This key question is from Oscillations in division Oscillations of Physics – Class 11

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment