Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 7 of 76

Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

Question 1

Appeared in Year: 2014

Question MCQ▾

The solution of the differential equation

Subject to the boundary condition and , is –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2015

Write in Short Short Answer▾

The value of is ________ (up to one decimal place)

Edit

Question 3

Appeared in Year: 2014

Question MCQ▾

The value of the integral Where C is the circle , is –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 4

Appeared in Year: 2015

Question MCQ▾

Consider a complex function . Which one of the following statements is correct?

Choices

Choice (4)Response

a.

has a second order pole at

b.

has infinite number of second order poles

c.

has all simple poles

d.

has simple poles at and

Edit

Question 5

Appeared in Year: 2014

Question MCQ▾

The unit vector perpendicular to the surface at the point is –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Appeared in Year: 2014

Question MCQ▾

The matrix is –

Choices

Choice (4)Response

a.

Orthogonal

b.

Anti – symmetric

c.

Unitary

d.

Symmetric

Edit

Question 7

Appeared in Year: 2015

Question MCQ▾

A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.

P: and are linearly independent solution for all values of

Q: and are linearly independent solution for all values of

R: and 1 are linearly independent solution for

S: and are linearly independent solution for all values of

The correct option for the combination of valid statements is –

Choices

Choice (4)Response

a.

Q and R

b.

P and R

c.

R and S

d.

P, R and S

Edit