1
GATE EE 2015 Set 2
Numerical
+1
-0
A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ0 is $$4\mathrm\pi\times10^{-7}$$ in SI unit. If a uniform magnetic field intensity $$\overrightarrow H=10^7\;\widehat z\;A/m$$ is applied, then the peak value of the induced voltage, Vturn ( in Volts), is _________. GATE EE 2015 Set 2 Electromagnetic Fields - Time Varying Fields Question 10 English
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2
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
We have a set of $$3$$ linear equations in $$3$$ unknown. $$'X \equiv Y'$$ means $$X$$ and $$Y$$ are equivalent statements and $$'X \ne Y'$$ means $$X$$ and $$y$$ are not equivalent statements.

$$P:$$ There is a unique solution.
$$Q:$$ The equations are linearly independent .
$$R:$$ All eigen values of the coefficient matrix are non zero .
$$S:$$ The determinant of the coefficient matrix is non-zero .


Which one of the following is TRUE?
A
$$P \equiv Q \equiv R \equiv S$$
B
$$P \equiv R \ne Q \equiv S$$
C
$$P \equiv Q \ne R \equiv S$$
D
$$P \ne Q \ne R \ne S$$
3
GATE EE 2015 Set 2
Numerical
+2
-0
The volume enclosed by the surface $$f\left( {x,y} \right) = {e^x}$$ over the triangle bounded by the lines $$x=y;$$ $$x=0;$$ $$y=1$$ in the $$xy$$ plane is ________.
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4
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Match the following.

List-$${\rm I}$$
$$P.$$ Stoke's Theorem
$$Q.$$ Gauss's Theorem
$$R.$$ Divergence Theorem
$$S.$$ Cauchy's Integral Theorem

List-$${\rm I}{\rm I}$$
$$1.$$ GATE EE 2015 Set 2 Engineering Mathematics - Vector Calculus Question 5 English 1
$$2.$$ GATE EE 2015 Set 2 Engineering Mathematics - Vector Calculus Question 5 English 2
$$3.$$ GATE EE 2015 Set 2 Engineering Mathematics - Vector Calculus Question 5 English 3
$$4.$$ GATE EE 2015 Set 2 Engineering Mathematics - Vector Calculus Question 5 English 4

A
$$P = 2,Q = 1,R = 4,S = 3$$
B
$$P = 4,Q = 1,R = 3,S = 2$$
C
$$P = 4,Q = 3,R = 1,S = 2$$
D
$$P = 3,Q = 4,R = 2,S = 1$$
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