CBSE
Multiple Choice QuestionsA particle of mass m is located in a one dimensional potential field where potential energy is given by V(x) = A(l − cos px), where A and p are constants. The period of small oscillations of the particle is
The period of oscillation of a simple pendulum of length l suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α is given by
The displacement of a particle is SHM varies according to the relation x = 4 (cos πt + sin πt). The amplitude of the particle is
− 4
4
8
What is the phase difference between two simple harmonic motions represented by and x2 = A cos (ωt) ?
When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes
2 E
4 E
6 E
10 E
When a particle executing SHM oscillates with a frequency v, then the kinetic energy of the particle
changes periodically with a frequency of v
changes periodically with a frequency of 2v
changes periodically with a frequency of v/2
remains constant
The displacement of a particle in a periodic motion is given by . This displacement may be considered as the result of superposition of n independent harmonic oscillations. Here n is
1
2
3
4
A simple pendulum of length L swings in a vertical plane. The tension of the string when it makes an angle θ with the vertical and the bob of mass in moves with a speed v is (g is the gravitational acceleration)
mv2/L
mg cos θ + mv2 / L
mg cos θ − mv2 / L
mg cos θ
The displacement x of a particle varies with time t as, where a, b α and β are positive constants. The velocity of the particle will
go on decreasing with time
be independent of
drop to zero when
go on increasing with time
