GATE ECE 2005 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

A silicon sample 'A' is doped with 10¹⁸ atoms/cm³ of Boron. Another sample 'B' of identical dimensions is doped with 10¹⁸ atoms/cm³ of Phosphorus. The ratio of electron to hole mobility is 1/3. The ratio of conductivity of the sample A to B is

1/3

2/3

3/2

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

A MOS capacitor made using p-type substrate is in the accumulation mode. The dominant charge in the channel is due to the presence of

holes

electrons

positively charged ions

negatively charged ions

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?

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

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

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

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

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