BSc Physics SEM II 2021 2022 May 2022 PHYSICS I Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt the following [SOM]
   • 1) The minimum number of vectors of equal magnitude required to produce zero resultant is
   • a) two b) three c)four d)more than four
   • 2) The vector sum of two forces is perpendicular to the vector difference. In that case the forces
   • a) equal to each other b) equal to each other in magnitude c) not equal to each other in magnitude d) none of the above
   • 3) If the sum of two vectors is a unit vector then the magnitude of their difference is
   • 4) A ship is traveling due east at 10 km per hour. A ship heading 30 degrees east of north is always due north from the first ship. The speed of the second shift in kilometers per hour is
   • 5) A man moves on a cycle with a velocity of 4 km per hour. The rain appears to fall to him with a velocity 3 km per hour vertically. The actual velocity of rain is
   • 6) The divergence of a vector field is
   • a) a vector b) a c) either a scalar or a vector d) none of the above
   • 7) The Del is known as = a) delta b) lambda c) nabla d) none of the above a vector field can be expressed as the gradient of a scalar then the vector field is called The degree & order of the differential equation =
   • 10) An equation involving only partial derivatives of one or more functions of two or more independent variables is called a
   • 11) Which of the following equations is non-linear?
   • 12) The non-homogeneous differential equation = + P(x) + q(x) = Q(x) can be to homogeneous equation by putting
   • a) P(x)=0 b) Q(x)=0 d) P(x) & q(x) both equal to zero
   • 14) In LR -series circuit, the current through an inductor follows (when circuit is closed) with
   • a) a linear growth b) a linear decay c) an exponential growth d) an exponential decay
   • 15) Ina LCR series circuit = = then the circuit is
   • a) Oscillatory b) dead beat c) critical damped d) none of these
   • 16) In CR -circuit, for the case of decay of current, the magnitude of current can be calculated by
   • 17) If two SHM’s of the same amplitude, time period and phase act at right angles to each other then the resultant vibration is
   • 18) The general solution of the differential equation of simple harmonic motion is given by
   • 19) For particle executing SHM’s, the phase between displacement and velocity is
   • 20) Which of the following is not essential for simple harmonic motions?
   • c)Restoring Elasticity
   • 21) The speed of wave in a stretched string depends upon
   • a) The tension in the string The amplitude of the wave
   • c) The wavelength of the The acceleration due to gravity
   • 22) The sound waves are transverse and sometime longitudinal wave
   • 23) Of the following properties of the wave, the oue that is independent of the is its
   • 24) Wave transmits from one place to another
   • 25) The initial phase of the particle in the wave equation is called
   • a) Phase
2. Q2 Attempt any 3 of the following [15M]
   • 1) Two vectors having a equal magnitudes A makes an angle @ with each other find the magnitude and direction of resultant vector
   • 2) Find the area of a triangle having vertices A(1,3,2), B(2,-1,1), and C(-1,2.3)
   • 2) Find the unit normal to the surface ata point (1,2,3)
   • 4) Define vectors and its types
   • 5) Define curl of vector field and state it's properties
3. Q3 Attempt any 3 of the following
   • 1) A body starts from rest and falls under Gravity in a resistive medium if we assume that the resistive force is proportional to the velocity, its equation of motion is dv/dt by Solve the equation for v
   • 2) Discuss the decay of current in an L-R circuit through which a current im is flowing initially. The differential equation describing t 1e process is L di/dt + iR = 0
   • 3) A series combination of capacitor and resistance is connected across a source of constant EMF, an expression for the charge on the capacitor and current through the during
   • 4) InanL-R Series DC circuit, L = 50 mH, R = 5 Ohm, and E = 6 volt. Calculate the time constant of the circuit and the current in the circuit after 5 ms when the circuit is switched
   • 5) Solve the equation: dy/dx = y+2/x+3
4. Q4 Attempt any 3 of the following [15M]
   • 1) Write down the equation of motion of simple harmonic motion. Obtain its solution and the expression for angular frequency. Why SHM is called sinusoidal motion?
   • 2) Discuss the composition of two parallel simple harmonic motions of slightly different period. Hence, define the beats
   • 3) Give mathematical description of the travelling wave. Hence, find the expression for particle velocity and particle acceleration
   • 4) Show that difference between two consecutive nodes or antinodes is A/2
   • 5) A500 gram mass is hung from the lower end of a coiled spring and causes the spring to elongate by 5 cm. if the mass is now set bobbing up and down, how many complete oscillations will it make in one minute?
5. Q5 Attempt any one of the following [SM]
   • 1) Write a note on normal modes of vibration on string fixed at both ends
   • 2) What is time constant of a C-R series circuit? Derive an expression for it by considering discharging in a C-R circuit
   • 3) Explain the physical interpretation of divergence of a field

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