- 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
- e^2+1
- e^2+e
- e+2
- 2e
- 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 ?
- P_2= 256 P_1
- P_2= 64 P_1
- P_2= 128 P_1
- P_2= 16 P_1
- The number of fundamental vibrational modes of CO_2 molecule is :
- 4 : 2 Raman active and 2 IR active
- 4 : 1 Raman active and 3 IR active
- 3 : 1 Raman active and 2 IR active
- 3 : 2 Raman active and 1 IR active
- The L, S and J quantum numbers corresponding to the ground state electronic configuration of Boron (z = 5) are :
- L = 1, S = 1/2, J = 3/2
- L = 1, S = 1/2, J = 1/2
- L = 1, S = 3/2, J = 1/2
- L = 0, S = 3/2, J = 3/2
- What are the expected types of gamma ray transitions between the following states of odd ‘A’ nuclei : g_{9/2}\rightarrow P_{1/2}
- M4 and E5
- M1 and E2
- M3 and E4
- M6 and E7
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Tuesday, 31 January 2017
Problem set 64
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