GATE ECE 1995 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

In a P-type silicon sample, the hole concentration is $$2.25\times10^{15}/cm^3$$. If the intrinsic carrier concentration is $$1.5\times10^{15}/cm^3$$ , the electron concentration is

Zero

$$10^{10}/cm^3$$

$$10^{5}/cm^3$$

$$1.5\times10^{25}/cm^3$$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

If $$L\left\{ {f\left( t \right)} \right\} = {{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$ then $$f\left( {{0^ + }} \right)$$ and $$f\left( \propto \right)$$ are given by ___________.

$$0,2$$ respectively

$$2,0$$ respectively

$$0,1$$ respectively

$${2 \over 5},0$$ respectively

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

By reversing the order of integration $$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$ may be represented as ______.

$$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_0^2 {\int\limits_y^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_0^4 {\int\limits_{y/2}^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_{{x^2}}^{2x} {\int\limits_0^2 {f\left( {x,y} \right)dy\,dx} } $$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

The third term in the taylor's series expansion of $${e^x}$$ about $$'a'$$ would be ________.

$${e^a}\left( {x - a} \right)$$

$${{{e^a}} \over 2}{\left( {x - a} \right)^2}$$

$${{{e^a}} \over 2}$$

$${{{e^a}} \over 6}{\left( {x - a} \right)^3}$$

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