# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 28 - 31 of 76

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## Question 28

Mathematical Physics

Appeared in Year: 2013

### Write in Short

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 29

Mathematical Physics

Appeared in Year: 2011

### Question

MCQ▾

The solutions to the differential equation are a family of

### Choices

Choice (4)Response

a.

b.

Straight lines with different slopes

c.

Circles with different centers

d.

Straight lines with different intercepts on the

## Question 30

Mathematical Physics

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 31

Mathematical Physics
Basis

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.

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