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Question 1 of 16
1. Question
A planet of mass m moves in a circular orbit of radius r0 in the gravitational potential V(r) = −k/r where k is a positive constant. The orbital angular momentum of the planet is
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Question 2 of 16
2. Question
The moment of inertia of a rigid diatomic molecule A is 6 times that of another rigid diatomic molecule B. If the rotational energies of the two molecules are equal, then the corresponding values of the rotational quantum numbers JA and JB are
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Question 3 of 16
3. Question
Given that the linear transformation of a generalized coordinate q and the corresponding momentum p,
Q = q + 4ap , P = q + 2p is canonical the value of the constant a is
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Question 4 of 16
4. Question
The value of the magnetic field required to maintain nonrelativistic protons of energy 1 MeV in a circular orbit of radius 100 mm is ______________ Tesla.
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Question 5 of 16
5. Question
In an interference pattern formed by two coherent sources, the maximum and the minimum of the intensities are 9Io and Io, respectively. The intensities of the individual waves are
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Question 6 of 16
6. Question
Neutrons moving with speed 1000 m/s are used for the determination of crystal structure. If the Bragg angle for the first order diffraction is 300, the interplanar spacing of the crystal is _________ Å.
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Question 7 of 16
7. Question
The intensity of a laser in free space is 150 mW/m2. The corresponding amplitude of the electric field of the laser is ____________ V/m (read m2 as m to the power 2)
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Question 8 of 16
8. Question
Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is
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Question 9 of 16
9. Question
A particle is confined to a one dimensional potential box with the potential
V(x) = 0, 0
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Question 10 of 16
10. Question
In order to measure a maximum of 1V with a resolution of 1mV using a nbit A/D converter, working under the principle of ladder network, the minimum value of n is _____________ .
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Question 11 of 16
11. Question
If L+ and L– are the angular momentum ladder operators, then, the expectation value of [(L+L−) + (L−L+)], in the state l=1,m=1 of an atom is ____________ (h2 read as h power 2)
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Question 12 of 16
12. Question
A low pass filter is formed by a resistance R and a capacitance C. At the cutoff angular frequency
Wc = 1/RC
, the voltage gain and the phase of the output voltage relative to the input voltage
respectively, areCorrect
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Question 13 of 16
13. Question
Consider the linear differential equation dy/dx = xy. If y = 2 at x = 0 then the value of y at x = 2 is given by
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Question 14 of 16
14. Question
There are four electrons in the 3d shell of an isolated atom. The total magnetic moment of the atom in units of Bohr magneton is
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Question 15 of 16
15. Question
Which of the following transitions is NOT allowed in the case of an atom, according to the electric dipole radiation selection rule?
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Question 16 of 16
16. Question
The magnitude of the magnetic dipole moment associated with a square shaped loop carrying a steady current I is m. If this loop is changed to a circular shape with the same current I passing through it, the magnetic dipole moment becomes pm/pi.The value of p is (pi is constant 3.14)
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