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Pune University - SY BSc (Sem - II) PHYSICS - I, April 2010

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Total No. of Questions : 4] P481 [Total No. of Pages : 2 [3717] - 203 S.Y. B.Sc. PHYSICS PH - 221 : Oscillations, Waves and Sound (Paper - I) (Sem. - II) (New Course) Time : 2 Hours] Instructions to the candidates: 1) All questions are compulsory. 2) Figures to the right indicate full marks. 3) Use of calculator and log tables allowed. 4) Neat diagrams must be drawn wherever necessary. [Max. Marks : 40 Q1) Attempt all of the following : a) Explain stable equilibrium. [1] b) What is meant by overdamped motion? [1] c) What is a resonance? State the condition for amplitude resonance. [1] d) Explain transverse waves in brief. [1] e) What is red shift? [1] f) Explain the quality of a sound. [1] g) An oscillator of mass 0.02kg oscillating with the amplitude 0.1m and [1] frequency 50Hz. What is its energy? h) The equation of motion in the critically damped motion is given in the i) j) d 2x dx [1] form 3 2 + 24 + kx = 0 find the value of k. dt dt What are coupled oscillations? [1] The velocity of transverse waves over a stretched string is 100 cm/s. If its mass per unit length is 5 g/cm, find tension in the string. [1] Q2) Attempt any two of the following : a) Derive the condition for velocity resonance and obtain amplitude of velocity at resonance. [5] b) Show that average energy of oscillator in damped oscillations is 1 E = ka 2e 2 c) Rt m [5] Describe Rayleigh disc method to determine intensity level of sound. [5] P.T.O. Q3) Attempt any two of the following : a) A particle is moving simple harmonically along a straight line. If it possesses velocities v1 and v2 at positions x1 and x2 from the equilibrium position, prove that the periodic time is T = 2 b) c) 2 x2 x12 2 2 v1 v2 [5] The equations of forced oscillations of an oscillator is given by d 2x dx 4 2 + 3 + 64 x = 60 sin 4t dt dt Determine the amplitude and phase difference between the periodic force and the displacement in CGS units. [5] Calculate the energy density and intensity of a plane progressive wave of frequency 300Hz, of amplitude 0.07 cm and velocity 33000 cm/s. The density of the medium is 1.293 10-3g/cm3. [5] Q4) Attempt the following : a) i) Define linear simple harmonic motion and obtain equation of motion for SHM. [4] ii) Show that Doppler effect in light is symmetric. [4] OR i) What do you mean by wave velocity and particle velocity? Show w . [4] k ii) Show that in damped oscillatory motion the displacement is x = ae-Rt/2m sin(pt + ). [4] Attempt any one of the following : i) A spectral line of wavelength 5890A in the spectrum of star is found to be displaced by 1.178A from its normal position towards the red end of the spectrum. Determine the velocity of [2] the star. ii) The volume of the space in a hall is 1350 m3. The total surface area of the absorbers present is 135m3 (in open window units). Determine the reverberation time for the hall. [2] that wave velocity is given by c = b) [3717]-203 vvvv 2

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Additional Info : S.Y. B.Sc. Physics (Semister - II), PH - 221 : Oscillation, Waves and Sound (Paper - I) (New Course), Pune University
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