Eigen value

What is true about Unitary Matrix?

• Transpose conjugate of A = A

• Modulus of each Eigen value is unity

• Eigen value is +1 or -1

• Transpose conjugate of A = inverse of A

There are (a)   number of elements in 3x6 matrix

If the particle is confined to a region, what will be the potential inside the well

• Infinite

• ^V₀

• Zero

Normalization factor of the Eigen wave function obtained in Particle in 1D Infinite potential well

• $\sqrt{\frac{a}{2}}$

• $\sqrt{\frac{2}{a}}$

• $\frac{a}{2}$

• $\frac{2}{a}$

Wavelength of the electron in the ground state of an infinite potential well is --------compared with the ground state of finite potential well

• exactly twice

• same

• larger

• lesser

Which one is the characteristic equation ?

• [ A-mI ] = 0

• | A-mI | = 0

• AX =mX

• | A | X= mX

The probability of the given wave function in the state psi 5 is given by

• 1/3

• 
• 1

• !/8

Schrodinger's time independent wave equation corresponds to

• Progressive wave

• Stationary wave

Quantum tunnelling occurs only when

• kinetic energy of the particle is less than the potential energy barrier

• kinetic energy of the particle is greater than the potential energy barrier

• kinetic energy of the particle is equal to tthe potential energy barrier

If A and B are the two Eigen vectors, then the condition for their orthogonality is

• B Ā'=0

• Ā' B=0

• Ā' B=1

• B Ā'=1