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. |
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 |
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 |
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. |
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
Choices
Choice (4) | Response | |
---|---|---|
a. | Zero | |
b. | ||
c. | ||
d. |