Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 66 - 70 of 245

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Question 66

Appeared in Year: 2013

Question MCQ▾

A monochromatic plane wave at oblique incidence undergoes reflection at a dielectric interface. If and are the unit vectors in the directions of incident wave, reflected wave and the normal to the surface respectively, which one of the following expressions is correct?

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 67

Appeared in Year: 2013

Question MCQ▾

For a scalar function satisfying the Laplace equation, has –

Choices

Choice (4)Response

a.

Zero curl and zero divergence

b.

Zero curl and non – zero divergence

c.

Non – zero curl and non – zero divergence

d.

Non – zero curl and zero divergence

Edit

Question 68

Appeared in Year: 2011

Question MCQ▾

The solutions to the differential equation are a family of

Choices

Choice (4)Response

a.

Circles with different radii

b.

Straight lines with different slopes

c.

Circles with different centers

d.

Straight lines with different intercepts on the

Edit

Question 69

Appeared in Year: 2011

Question MCQ▾

If a force is derivable from a potential function , where is the distance from the origin of the coordinate system, it follows that –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 70

Appeared in Year: 2011

Question MCQ▾

Consider a cylinder of height and radius , closed at both ends, centered at the origin, Let be the position vector and a unit vector normal to the surface. The surface integral over the closed surface of the cylinder is

A Cylinder of Closed Ends

Choices

Choice (4)Response

a.

Zero

b.

c.

d.

Edit