- The energy of formation of a vacancy in copper is 1eV. The number of vacancies per mole below its melting point 1356^oK is:
- 1.15\times10^{20}
- 4\times10^{20}
- 2\times10^{20}
- 3.30\times10^{20}
- A system is known to be in a state described by the wave function \psi(\theta,\phi)=\frac{1}{\sqrt{30}}\left[5Y_4^0+5Y_6^0+25Y_6^3\right]where Y_l^m are spherical harmonics. The probability of finding the system in a state with m=0 is :
- Zero
- \frac{6}{\sqrt{30}}
- \frac{6}{30}
- \frac{13}{15}
- For attractive one-dimensional delta function potential situated at x=0, the wave function of the bound state is given by:
- \psi(x)=e^{-\alpha x}
- \psi(x)=e^{-\alpha |x|}
- \psi(x)=e^{-\alpha x^2}
- \psi(x)=\sin{\alpha x}
- A one-dimensional simple harmonic oscillator with generalized coordinate q is subjected to an extra additional potential
energy of the form V(t)=q^2t+q\dot qt^2The Lagrange's equation of the oscillator due to the extra potential will contain:
- an extra term proportional to t
- an extra term proportional to t^2
- an extra term proportional to (t+t^2)
- no extra term
- The variational method in perturbation theory, when applied to obtain the value of the ground state energy:
- Always gives exact ground state energy
- gives energy value lower than the exact ground state energy
- gives energy value which is sometimes higher than or sometimes lower than the exact ground state energy
- gives energy value higher than or equal to the exact ground state energy
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Sunday, 4 December 2016
Problem set 35
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