1
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of $$E=6{\widehat a}_x+8{\widehat a}_y$$ kV /mm. The relative permittivity of the dielectric material is equal to 2. The value of constant $$\varepsilon_0$$ is $$8.85\times10^{-12}\;F/m$$ . The energy stored in the dielectric in Joules is
A
$$8.85\times10^{-11}$$
B
$$8.85\times10^{-5}$$
C
88.5
D
885
2
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
The flux density at a point in space is given by $$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\widehat a}_z\;\;Wb/m^2$$. The value of constant k must be equal to
A
-2
B
-0.5
C
+0.5
D
+2
3
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
The equation $$\left[ {\matrix{ 2 & { - 2} \cr 1 & { - 1} \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right] = \left[ {\matrix{ 0 \cr 0 \cr } } \right]$$ has
A
no solution
B
only one solution
C
non-zero unique solution
D
multiple solutions
4
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
A matrix has eigen values $$-1$$ and $$-2.$$ The corresponding eigenvectors are $$\left[ {\matrix{ 1 \cr { - 1} \cr } } \right]$$ and $$\left[ {\matrix{ 1 \cr { - 2} \cr } } \right]$$ respectively. The matrix is
A
$$\left[ {\matrix{ 1 & 1 \cr { - 1} & { - 2} \cr } } \right]$$
B
$$\left[ {\matrix{ 1 & 2 \cr { - 2} & { - 4} \cr } } \right]$$
C
$$\left[ {\matrix{ { - 1} & 0 \cr 0 & { - 2} \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & 1 \cr { - 2} & { - 3} \cr } } \right]$$
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