Physics I 2068

Section A:

Attempt any four questions:

1. What are non-inertial frames of reference? Define and explain centrifugal and Coriolis forces. (2+1+3)

2. What are non-inertial frames of reference? Define and explain centrifugal and Coriolis forces. (2-1.2+3)

3. What do you mean by a harmonic oscillator? Discuss the oscillation of diatomic molecule. Hence sketch the energy level diagram. (2+4+1)

4. Discuss the boundary conditions on the field vectors E and D? (3.5+3.5)

5. Explain the meanings of power and power factors. Further discuss the phenomena of resonance and hence obtain quality factor.

Section B:

Attempt any eight questions:

6. A proton is accelerated through a p.d. 50 and then it is allowed to cross a field free r ion 7.5m long. Find the time required to cross this distance. (4)

7. The initial positions of two particles are (-2, 0) and (0, -2) and they start simultaneously along the axes of x and y with uniform velocities 3i cm/s and 4j cm/s respectively. Obtain the vector representing the position of the 2nd particle with respect to the first as a function of time. (4)

8. Show that the force defined by F = („2 x2 + 2xyj is conservative. (4)

9. A particle of mass 5 gm lies in a potential field V = (8x²+ 200) ergs/gm. Calculate its time period. (4)

10. Calculate the mass of water flowing in 10 minutes through a tube 0.1 cm in diameter 40 cm long, if there is a constant pressure head of 20 cm of water. (11 for water = 0.0089 cgs units). (4)

11. Two small identical conducting spheres have charges of 2.0 x 10⁻⁹C and -0.5 x10⁻⁹ C, respectively. When they are placed 4 cm apart, what is the force between them? (4)

12. Find the electric field produced by a uniformly polarized sphere of radius R. (4)

13. Find the energy of a uniformly charged spherical shell of total charge 9 and radius R. (4)

14. A real capacitor C has a parallel leakage resistance R; it is connected in series with an ideal inductance L. Calculate JZI; find the approximate values at high and low frequencies assuming R is large. (2+2)

15. Calculate the energy density of uniform magnetic field of strength I Tesla in vacuum. (μ₀=4πx10⁷NS² /z) (4)