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Physics Resonance: Problem set 64 -->

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Tuesday, 31 January 2017

Problem set 64

  1. Consider the differential equation \frac{d^2x}{dt^2}-3\frac{dx}{dt}+2x=0. If x=0 at t=0 and x=1 at t=1, the value of x at t=2 is
    1. e^2+1
    2. e^2+e
    3. e+2
    4. 2e
  2. An electric dipole of moment \vec P and length l aligned along the z-axis is used to generate electromagnetic waves. Initially it was operated at frequency 10 MHz and its power along the equatorial plane at certain distance d (d >> l) was measured as P_1. Later, the same dipole was operated at frequency 40 MHz and power P_2 was measured at the same point. How do you compare the two powers ?
    1. P_2= 256 P_1
    2. P_2= 64 P_1
    3. P_2= 128 P_1
    4. P_2= 16 P_1
  3. The number of fundamental vibrational modes of CO_2 molecule is :
    1. 4 : 2 Raman active and 2 IR active
    2. 4 : 1 Raman active and 3 IR active
    3. 3 : 1 Raman active and 2 IR active
    4. 3 : 2 Raman active and 1 IR active
  4. The L, S and J quantum numbers corresponding to the ground state electronic configuration of Boron (z = 5) are :
    1. L = 1, S = 1/2, J = 3/2
    2. L = 1, S = 1/2, J = 1/2
    3. L = 1, S = 3/2, J = 1/2
    4. L = 0, S = 3/2, J = 3/2
  5. What are the expected types of gamma ray transitions between the following states of odd ‘A’ nuclei : g_{9/2}\rightarrow P_{1/2}
    1. M4 and E5
    2. M1 and E2
    3. M3 and E4
    4. M6 and E7

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