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A particle of mass m is confined in the potential
Quantum Mechanics mcq question image
\[V\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{1}{2}m{\omega ^2}{x^2},}&{{\text{for }}x Let the wave function of the particle be given by $$\psi \left( x \right) = - \frac{1}{{\sqrt 5 }}{\psi _0} + \frac{2}{{\sqrt 5 }}{\psi _1}$$
where $${\psi _0}$$ and $${\psi _1}$$ are the eigen functions of the ground state and the first excited slate respectively. The expectation value of the energy is
According to morphological details, pSi can be divided as sponge-like pSi and pSi featuring cylindrical pores.
\(\psi\)MO = \(\psi\)A + \(\psi\)B.
If $${\text{sin}}\left( {{{60}^ \circ } - \theta } \right)$$   = $${\text{cos}}\left( {\psi - {{30}^ \circ }} \right),$$   then the value of $${\text{tan}}\left( {\psi - \theta } \right)$$   is (assume that $$\theta $$ and $$\psi $$ are both positive acute angles with$$\theta {30^ \circ }$$  ) ?
A particle is in the normalized state $$\left| \psi \right\rangle $$ which is a superposition of the energy eigen states $$\left| {{E_0} = 10\,eV} \right\rangle $$   and $$\left| {{E_1} = 30\,eV} \right\rangle .$$   The average value of energy of the particle in the state $$\left| \psi \right\rangle $$ is 20 eV. The state $$\left| \psi \right\rangle $$ is given by
If nominal GDP equals $5,000 and real GDP equals $4,000, then the GDP Deflator equals
If nominal GDP equals $6,000 and the GDP deflator equals 200, then real GDP equals
Consider the following remarks pertaining to the irrotational flow: 1. The Laplace equation of stream function \(\frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {y^2}}} = 0\) must be satisfied for the flow to be potential. 2. The Laplace equation for the velocity potential \(\frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {y^2}}} = 0\) must be satisfied to fulfil the orate . of mass conservation i.e continuity equation.. Which of the above statements is/are correct?
An oil well is having a true vertical depth of 10000 ft and measured depth of 12000 ft. the tubing shut-in pressure is 500 psi and the weight of the fluid in the tubing is 4 ppg. Calculate the formation gradient in psi/ft of the well?
Personnel observes that the annulus pressure on a producing well increases from 0 psi to 300 psi. The well has the packer set to isolate annuls. What does this indicator tell you?