मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

Which of the following example represent (nearly) simple harmonic motion and which represent periodic general vibrations of a polyatomic molecule about its equilibrium position.

Advertisements
Advertisements

प्रश्न

Which of the following example represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?

General vibrations of a polyatomic molecule about its equilibrium position.

थोडक्यात उत्तर
Advertisements

उत्तर

A polyatomic molecule has many natural frequencies of oscillation. Its vibration is the superposition of individual simple harmonic motions of a number of different molecules. Hence, it is not simple harmonic, but periodic.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.


A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x108 N is applied to a top surface. Calculate the lateral displacement of the top surface if modulus of rigidity of copper is 14x1010 N/m2.


Answer in brief:

Derive an expression for the period of motion of a simple pendulum. On which factors does it depend?


A particle executes simple harmonic motion with a frequency v. The frequency with which the kinetic energy oscillates is


A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will


Find the time period of the motion of the particle shown in figure . Neglect the small effect of the bend near the bottom.


A uniform plate of mass M stays horizontally and symmetrically on two wheels rotating in opposite direction in Figure . The separation between the wheels is L. The friction coefficient between each wheel and the plate is μ. Find the time period of oscillation of the plate if it is slightly displaced along its length and released.


The ear-ring of a lady shown in figure has a 3 cm long light suspension wire. (a) Find the time period of small oscillations if the lady is standing on the ground. (b) The lady now sits in a merry-go-round moving at 4 m/s1 in a circle of radius 2 m. Find the time period of small oscillations of the ear-ring.


Find the time period of small oscillations of the following systems. (a) A metre stick suspended through the 20 cm mark. (b) A ring of mass m and radius r suspended through a point on its periphery. (c) A uniform square plate of edge a suspended through a corner. (d) A uniform disc of mass m and radius r suspended through a point r/2 away from the centre.


Find the number of oscillations performed per minute by a magnet is vibrating in the plane of a uniform field of 1.6 × 10-5 Wb/m2. The magnet has a moment of inertia 3 × 10-6 kg/m2 and magnetic moment 3 A m2.


Which of the following example represent periodic motion?

A freely suspended bar magnet displaced from its N-S direction and released.


When two displacements represented by y1 = a sin(ωt) and y2 = b cos(ωt) are superimposed the motion is ______. 


The equation of motion of a particle is x = a cos (αt)2. The motion is ______.


What are the two basic characteristics of a simple harmonic motion?


Show that the motion of a particle represented by y = sin ωt – cos ωt is simple harmonic with a period of 2π/ω.


A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time.

  1. Will there be any change in weight of the body, during the oscillation?
  2. If answer to part (a) is yes, what will be the maximum and minimum reading in the machine and at which position?

A particle performs simple harmonic motion with a period of 2 seconds. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is `1/a` s. The value of 'a' to the nearest integer is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×