GATE ECE 2005 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

The primary reason for the widespread use of Silicon in semiconductor device technology is

abundance of Silicon on the surface of the Earth.

larger bandgap of Silicon in comparison to Germanium.

favorable properties of Silicon-dioxide (SiO₂)

lower melting point

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

The Dirac delta Function $$\delta \left( t \right)$$ is defined as

$$\delta \left( t \right) = \left\{ {\matrix{ 1 & {t = 0} \cr {0\,{\,^,}} & {otherwise} \cr } } \right.$$

$$\delta \left( t \right) = \left\{ {\matrix{ \infty & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$

$$\delta \left( t \right) = \left\{ {\matrix{ 1 & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$ and $$\int\limits_{ - \infty }^\infty {\delta \left( t \right)\,dt = 1} $$

$$\delta \left( t \right) = \left\{ {\matrix{ \infty & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$ and $$\int\limits_{ - \infty }^\infty {\delta \left( t \right)\,dt = 1} $$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

In what range should $$Re(s)$$ remain so that the laplace transform of the function $${e^{\left( {a + 2} \right)t + 5}}$$ exists?

$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 2$$

$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 7$$

$${\mathop{\rm Re}\nolimits} \left( s \right) < 2$$

$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 5$$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

Match the following and choose the correct combination

Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$ Runge-Kutta method
$$G.$$ Simpson's Rule
$$H.$$ Gauss elimination

Group $$-$$ $${\rm II}$$
$$(1)$$ Solving non-linear equations
$$(2)$$ Solving linear simultaneous equations
$$(3)$$ Solving ordinary differential equations
$$(4)$$ Numerical integration method
$$(5)$$ Interpolation
$$(6)$$ Calculation of eigen values

$$E - 6,\,\,F - 1,\,\,G - 5,\,\,H - 3$$

$$E - 1,\,\,F - 6,\,\,G - 4,\,\,H - 3$$

$$E - 1,\,\,F - 3,\,\,G - 4,\,\,H - 2$$

$$E - 5,\,\,F - 3,\,\,G - 4,\,\,H - 1$$

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