BSc Physics SEM II 2018 19 May 2018-19 PHYSICS PAPER I Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 Use of non- programmable calculator is allowed
2. Q4 Symbols have their usual meanings unless mentioned
3. Q1 (A) Select the correct option 12 marks
   • i) The quantities which require both magnitude for their complete specification are called
   • (a) scalars (b) vectors
   • (c) polygons (d) None of the above
   • ii) The vector field V is irrotational if
   • (c) V-V=0 (d) Vx V=0 The degree of the equation + ZY is
   • iv) In the LR-series circuit has a steady emf E, which is switched on at a time t = 0. The current after a long time will be
   • v) Energy is not carried by
   • vi) In progressive wave the disturbance propagates with definite
   • (a) velocity (b) displacement
   • (c) acceleration (d) time
   • (B) Answer in one sentence : 03
   • i) Define unit vectors
   • ii) is differential equation?
   • iii) Define transverse wave
   • (C) Fill in the blanks 05
   • i). If higher the frequency of wave, the shorter its
   • ii) Time interval during which the oscillation repeats known as .of ili) the time constant of series LR circuit
   • iv) The operator del is known as
   • v) medium group velocity is equal to phase velocity
4. Q2 (A) Attempt any one 8 marks
   • i) Define Scalar (DOT) product of two vectors. Write any six properties of Scalar (DOT) product of vectors
   • ii) (a) If y,z) = x* + 2yz + find at (1,-2,1)
   • (b) if is the position vector with respect to right handed co
   • (B) Attempt any one 08
   • i) If(a) $= $=
   • ii) (a) Find the angle between A —k and 37 + 2k
   • (b) Prove that (B +C ) (distributive law)
   • (C) Attempt any one 04
   • i) Find the relation between A and B if |A + B
   • ii) y*+ determine
5. Q3 (A) Attempt any one 8 marks
   • i) Discuss second order homogeneous. linear ordinary differential equation with constant coefficients with roots of the equation are real and repeated
   • ii) A steady suddenly applied to a circuit consisting of an inductance L and a resistance R in series. Obtain an expression for the growth of current in the circuit and also its decay when the emf withdrawn
   • (B) Attempt any one 08
   • i) Solve the differential equation
   • (b) Solve the differential equation
   • ii) Derive an expression for the growth of charge in the LCR series circuit. A steady emf is connected to the circuit consisting of a resistance R, an inductance L and a capacitor C in series
   • (C) Attempt any one 04
   • i) the differential equation —kxy
   • ii) A DC voltage of 100V is switched on to a circuit containing a resistance of 10Q in series with an inductance of 10H. Find the rate of growth of current at the instant when the current is 5A
6. Q4 (A) Attempt any one 8 marks
   • i) Obtain an expression for the resultant motion when a particle is subjected simultaneously to two mutually perpendicular Simple Harmonic Motions of identical period and having same center. Give some special cases
   • ii). Obtain the expression for the velocity of the transverse wave on a stretched
   • (B) Attempt any one 08
   • i) . Obtain an expression for the resultant motion when two Simple Harmonic Motions of same period and with same center along the same straight line act simultaneously particle. Give some special cases
   • ii) Explain the terms phase velocity and group velocity
   • (C) Attempt any one 04 Show that the general solution of the wave equation, = can be represented by y = —ct) +
   • ii) tuning forks produce Lissajous figures. The figures changes in form of circular figure and after every 0.2 the circular figure occurs. If the frequency of one of the fork is 250 Hz. Find the possible frequencies of the other fork
7. Q5 Attempt any four 20 marks
   • i) Prove that A x (B xC)+ B xB) =0
   • ii) Show that the field V = cos xsin — cosz k is conservative
   • iii) Define the exact differential equation
   • iv) of self-inductance 200 H is joined to the terminals of a battery of emf 5 volts through a resistance of 20 Q. What is the time constant of the circuit? What is the maximum current that is finally established in the circuit? Vv) Show that a particle whose potential energy is Kx?, where K is a
   • vi) Distinguish between progressive and stationary waves

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