For a simple pendulum performing simple harmonic motion, the time period is plotted against its length. The curve will be
Options
(a) straight line (b) circle (c) parabola (d) ellipse
Correct Answer:
parabola
The total energy of a simple harmonic oscillator is proportional to
Options
(a) square root of displacement (b) velocity (c) frequency (d) square of amplitude
Correct Answer:
square of amplitude
Explanation:
The total […]
A particle of mass M is executing oscillations about the origin on the x-axis. The potential energy is U(x)=k|x|³, where k is a positive constant. If the amplitude of oscillation is a, then its time […]
A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a sin(ωt+π/6). After the elapse of what fraction of the time period the velocity of the point will […]
The particle executing simple harmonic motion has a kinetic energy K₀ cos²ωt. The maximum values of the potential energy and the total energy are respectively
Options
(a) K₀/2 and K₀ (b) K₀ and […]
A thin wire of length L and mass M is bent to form a semicircle. What is the gravitational field at the centre?
Options
(a) πGM/L² along the line joining the ends (b) […]
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is
Options
(a) 4 Hz (b) 3 Hz (c) 2 Hz (d) 1 […]
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)
Options
(a) E/8 (b) E/4 (c) E/2 (d) 2E/3
A particle is executing the motion x=Acos (ωt-θ). The maximum velocity of the particle is
Options
(a) Aω cosθ (b) Aω (c) Aω sinθ (d) None of these
Correct Answer:
Aω
Explanation:
x = […]
The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new […]
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