Mathematical Physics-Linear Differential Equations [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 6 - 10 of 12
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Question 6
Appeared in Year: 2013
Write in Short Short Answer▾
In a constant magnetic field of also the direction, find the value of the path integral in the units of (Tesla ) on a square loop of side length meters. The normal to the loop makes an angle of to the axis, as shown in the figure. The answer should be up to two decimal places. ________
Question 7
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 8
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 9
Appeared in Year: 2010
Question MCQ▾
The solution of the differential equation for , subject to the initial conditions and , is –
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | ||
Question 10
Appeared in Year: 2009
Question MCQ▾
Which one of the following curves given the solution of the differential equation , where and are positive constant with initial conditions and ?
Choices
| Choice (4) | Response | |
|---|---|---|
a. |  | |
b. |  | |
c. |  | |
d. |  | |