Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 49 - 56 of 76

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Passage

One of the eigenvalues of the matric is .

Question 49 (1 of 2 Based on Passage)

Mathematical Physics

Appeared in Year: 2006

Question

MCQ▾

The other two eigenvalues are –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 50 (2 of 2 Based on Passage)

Mathematical Physics

Appeared in Year: 2006

Question

MCQ▾

The normalized eigenvectors corresponding to the eigenvalues is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 51

Mathematical Physics

Appeared in Year: 2007

MCQ▾

If , then –

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

Question 52

Mathematical Physics

Appeared in Year: 2007

Question

MCQ▾

Inverse Laplace transform of is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 53

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2007

Question

MCQ▾

The contour integral is to be evaluated on a circle of radius centered at the origin. It will have contributions only from the points –

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

Question 54

Mathematical Physics
Basis

Appeared in Year: 2007

Question

MCQ▾

Consider a vector in the coordinate system . The axes are rotated anti – clock wise about the axis by an angle of . The vector in the rotate coordinate system is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 55

Mathematical Physics

Appeared in Year: 2007

Question

MCQ▾

The eigen values and eigen vectors of the matrix are –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 56

Mathematical Physics

Appeared in Year: 2008

Question

MCQ▾

An unitary matrix is given, where and are real. The inverse of the matrix is –

Choices

Choice (4)Response

a.

b.

c.

d.

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