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1

### AIPMT 2010 Prelims

Which one of the following statement is false ?
A
Pure Si doped with trivalent impurities gives a p-type semiconductor.
B
Majority carries in a n-type semiconductor are holes.
C
Minority carries in a p-type semiconductor are electrons.
D
The resistance of intrinisic semiconductor decreases with increase of temperature.

## Explanation

In a n-type semiconductors, electrons are majority carriers and holes are minority carriers.
2

### AIPMT 2010 Prelims

To get an output Y = 1 in given circuit which of the following input will be correct ? A
A $$\to$$ 1,  B $$\to$$ 0,  C $$\to$$ 0
B
A $$\to$$ 1,  B $$\to$$ 0,  C $$\to$$ 1
C
A $$\to$$ 1,  B $$\to$$ 1,  C $$\to$$ 0
D
A $$\to$$ 0,  B $$\to$$ 1,  C $$\to$$ 0

## Explanation The Boolen expression for the given combination is

output Y = (A + B) · C

So it is clear that Y = 1, when A = 1, B = 0 and C = 1
3

### AIPMT 2009

Sodium has body centred packing. Distance between two nearest atoms is 3.7 $$\mathop A\limits^ \circ$$. The lattice parameter is
A
4.3 $$\mathop A\limits^ \circ$$
B
3.0 $$\mathop A\limits^ \circ$$
C
8.6 $$\mathop A\limits^ \circ$$
D
6.8 $$\mathop A\limits^ \circ$$

## Explanation

Distance between nearest atoms in body centred cubic lattice (bcc),

d = $${{\sqrt 3 } \over 2}a$$

Given d = 3.7 $$\mathop A\limits^ \circ$$

$$\therefore$$ $$a = {{3.7 \times 2} \over {\sqrt 3 }}$$ = 4.3 $$\mathop A\limits^ \circ$$
4

### AIPMT 2009

A p-n photodiode is fabricated from a semiconductor with a band gap of 2.5 eV. It can detect a signal of wavelength
A
4000 nm
B
6000 nm
C
4000 $$\mathop A\limits^ \circ$$
D
6000 $$\mathop A\limits^ \circ$$

## Explanation

$$\lambda$$max = $${{hc} \over E}$$

= $${{6.6 \times {{10}^{ - 34}} \times 3 \times {{10}^8}} \over {2.5 \times 1.6 \times {{10}^{ - 19}}}}$$

= 5000 $$\mathop A\limits^o$$

Now the wavelength detected by photodiode be less than $$\lambda$$max, hence it can detect a signal of wave length 4000 $$\mathop A\limits^o$$.

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