1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$f\left( y \right) = {e^y},$$ $$g\left( y \right) = y;y > 0$$ and

$$F\left( t \right) = \int\limits_0^t {f\left( {t - y} \right)g\left( y \right)dy,} $$ then :
A
$$F\left( t \right) = t{e^{ - t}}$$
B
$$F\left( t \right) = 1t - t{e^{ - 1}}\left( {1 + t} \right)$$
C
$$F\left( t \right) = {e^t} - \left( {1 + t} \right)$$
D
$$F\left( t \right) = t{e^t}$$.
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$z$$ and $$\omega $$ are two non-zero complex numbers such that $$\left| {z\omega } \right| = 1$$ and $$Arg(z) - Arg(\omega ) = {\pi \over 2},$$ then $$\,\overline {z\,} \omega $$ is equal to
A
$$- i$$
B
1
C
- 1
D
$$i$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A strip of copper and another of germanium are cooled from room temperature to $$80K.$$ The resistance of
A
each of these decreases
B
copper strip increases and that of germanium decreases
C
copper strip decreases and that of germanium increases
D
each of these increases
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
In the middle of the depletion layer of a reverse- biased $$p$$-$$n$$ junction, the
A
electric field is zero
B
potential is maximum
C
electric field is maximum
D
potential is zero

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