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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2007

MCQ (Single Correct Answer)
Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statements is most appropriate ?
A
The number of free electrons for conduction is significant only in $$Si$$ and $$Ge$$ but small in $$C.$$
B
The number of free conduction electrons is significant in $$C$$ but small in $$Si$$ and $$Ge.$$
C
The number of free conduction electrons is negligibly small in all the three.
D
The number of free electrons for conduction is significant in all the three

Explanation

$$Si$$ and $$Ge$$ are semiconductors but $$C$$ is an insulator. Also, the conductivity of $$Si$$ and $$Ge$$ is more than $$C$$ because the valence electrons of $$Si, Ge$$ and $$C$$ lie in third, fourth and second orbit respectively.
2

AIEEE 2006

MCQ (Single Correct Answer)
If the lattice constant of this semiconductor is decreased, then which of the following is correct?
A
All $${E_c},{E_g},{E_v}$$ increase
B
$${E_c}$$ and $${E_v}$$ increase, but $${E_g}$$ decreases
C
$${E_c}$$ and $${E_v}$$ decrease, but $${E_g}$$ increases
D
All $${E_c},{E_g},{E_v}$$ decrease

Explanation

A crystal structure is composed of a unit cell, a set of atoms arranged in a particular way; which is periodically repeated in three dimensions on a lattice. The spacing between unit cells in various directions is called its lattice parameters or constants. Increasing these lattice constants will increase or widen the band-gap $$\left( {Eg} \right)$$, which means more energy would be required by electrons to reach the conduction band from the valence band. automatically $${E_c}$$ and $${E_v}$$ decreases.
3

AIEEE 2006

MCQ (Single Correct Answer)
In the following, which one of the diodes is reverse biased?
A
B
C
D

Explanation

$$p$$-side connected to low potential and $$n-$$ side is connected to high potential.
4

AIEEE 2006

MCQ (Single Correct Answer)
The circuit has two oppositively connected ideal diodes in parallel. What is the current following in the circuit?

A
$$1.71$$ $$A$$
B
$$2.00$$ $$A$$
C
$$2.31$$ $$A$$
D
$$1.33$$ $$A$$

Explanation

$${D_2}$$ is forward biased whereas $${D_1}$$ is reversed biased.

So effective resistance of the circuit

$$R = 4 + 2 = 6\Omega $$

$$\therefore$$ $$i = {{12} \over 6} = 2\,A$$

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