1
MCQ (Single Correct Answer)

JEE Main 2016 (Online) 9th April Morning Slot

The truth table given in fig. represents :
A B Y
0 0 0
0 1 1
1 0 1
1 1 1
A
AND - Gate
B
OR - Gate
C
NAND - Gate
D
NOR - Gate

Explanation

Here   Y = 1   when,

(1)   A = 0  and   B = 1   $$\left( {\overline A B} \right)$$

(2)   A = 1  and  B = 0   $$\left( {A\,\overline B } \right)$$

(3)   A = 1  and  B = 1  $$\left( {A\,B} \right)$$

$$ \therefore $$   Y = $${\overline A }$$ B + A $${\overline B }$$ + AB

= $${\overline A }$$ B + A ($${\overline B }$$ + B)

= $${\overline A }$$ B + A    [as  $${\overline B }$$ + B = 1]

= (A + $${\overline A }$$) (A + B)

= A + B

So, this represented OR gate.

Note :

X + $${\overline X }$$ Y = (X + $${\overline X }$$) (X + Y)

2
MCQ (Single Correct Answer)

JEE Main 2016 (Online) 9th April Morning Slot

An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of R = 100 $$\Omega $$, and a maximum power of dissipation rating of 1 W. The minimum voltage range of the DC source in the circuit is :
A
0 $$-$$ 5 V
B
0 $$-$$ 8 V
C
0 $$-$$ 12 V
D
0 $$-$$ 24 V

Explanation



Potential drop accross zener diode.

Vz = V $$-$$ 100 I

$$ \therefore $$   Power dissiption = Vz I

= (V $$-$$ 100 I) I

Given that,

(V $$-$$ 100 I) I = 1

$$ \Rightarrow $$   VI $$-$$ 100 I2 = 1

$$ \Rightarrow $$   100 I2 $$-$$ VI + 1 = 0

As   As I is real,

So, b2 $$-$$ 4ac $$ \ge $$ far this quadratic equation.

$$ \therefore $$   V2 $$-$$ 4(100)1  $$ \ge $$ 0

$$ \Rightarrow $$   V $$ \ge $$ 20 V

$$ \therefore $$   Voltage range should be 0 $$-$$ 24 V
3
MCQ (Single Correct Answer)

JEE Main 2016 (Online) 9th April Morning Slot

An unknown transistor needs to be identified as a npn or pnp type. A multimeter, with + ve and − ve terminals, is used to measure resistance between different terminals of transistor. If terminal 2 is the base of the transistor then which of the following is correct for a pnp transistor ?
A
+ ve termial 1, $$-$$ve terminal 2, resistance high
B
+ ve termial 2, $$-$$ve terminal 1, resistance high
C
+ ve termial 3, $$-$$ve terminal 2, resistance high
D
+ ve termial 2, $$-$$ve terminal 3, resistance low

Explanation



+ ve terminal at 1, $$-$$ ve terminal at 2 and resistance high for pnp transistor.
4
MCQ (Single Correct Answer)

JEE Main 2016 (Online) 10th April Morning Slot

The ratio (R) of output resistance r0, and the input resistance ri in measurements of input and output characteristics of a transistor is typically in the range:
A
R ~ 102 $$-$$ 103
B
R ~ 1 $$-$$ 10
C
R ~ 0.1 $$-$$ 0.01
D
R ~ 0.1 $$-$$ 1.0

Explanation

R $$=$$ $${{{r_0}} \over {{r_i}}} \equiv 1 - 10$$

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