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Eigen value

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is true about Unitary Matrix?

a)

Transpose conjugate of A = A

b)

Modulus of each Eigen value is unity

c)

Eigen value is +1 or -1

d)

Transpose conjugate of A = inverse of A

2.

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

3.

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

a)

Infinite

b)

V0

c)

Zero

4.

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

a)

a2\sqrt{\frac{a}{2}}

b)

2a\sqrt{\frac{2}{a}}

c)

a2\frac{a}{2}

d)

2a\frac{2}{a}

5.

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

a)

exactly twice

b)

same

c)

larger

d)

lesser

6.

Which one is the characteristic equation ?

a)

[ A-mI ] = 0

b)

| A-mI | = 0

c)

AX =mX

d)

| A | X= mX

7.

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

a)

1/3

b)
c)

1

d)

!/8

8.

Schrodinger's time independent wave equation corresponds to

a)

Progressive wave

b)

Stationary wave

9.

Quantum tunnelling occurs only when

a)

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

b)

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

c)

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

10.

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

a)

B Ā'=0

b)

Ā' B=0

c)

Ā' B=1

d)

B Ā'=1