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1

AIEEE 2005

MCQ (Single Correct Answer)
In the circuit, the galvanometer $$G$$ shows zero deflection. If the batteries $$A$$ and $$B$$ have negligible internal resistance, the value of the resistor $$R$$ will be -
A
$$100\Omega $$
B
$$200\Omega $$
C
$$1000\Omega $$
D
$$500\Omega $$

Explanation



$$iR = 2 = 12 - 500i$$

$$\therefore$$ $$i = {1 \over {50}}$$

$$\therefore$$ $${1 \over {50}} \times R = 2$$

$$R = 100\Omega $$
2

AIEEE 2005

MCQ (Single Correct Answer)
A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
A
four times
B
doubled
C
halved
D
one fourth

Explanation

$$H = {{{V^2}t} \over R}$$

Resistance of half the coil $$ = {R \over 2}$$

$$\therefore$$ As $$R$$ reduces to half, $$'H'$$ will be doubled.
3

AIEEE 2004

MCQ (Single Correct Answer)
A material $$'B'$$ has twice the specific resistance of $$'A'.$$ A circular wire made of $$'B'$$ has twice the diameter of a wire made of $$'A'$$. Then for the two wires to have the same resistance, the ratio $${l \over B}/{l \over A}$$ of their respective lengths must be
A
$$1$$
B
$${l \over 2}$$
C
$${l \over 4}$$
D
$$2$$

Explanation

$${\rho _B} = 2{\rho _A}$$

$${d_B} = 2{d_A}$$

$${R_B} = {R_A} \Rightarrow {{{\rho _B}{\ell _B}} \over {{A_B}}} = {{{P_A}{\ell _A}} \over {{A_A}}}$$

$$\therefore$$ $${{{\ell _B}} \over {{\ell _A}}} = {{{\rho _A}} \over {{\rho _B}}} \times {{d_B^2} \over {d_A^2}}$$ $$ = {{{\rho _A}} \over {2{\rho _A}}} \times {{4d_d^2} \over {d_A^2}} = 2$$
4

AIEEE 2004

MCQ (Single Correct Answer)
The Kirchhoff's first law $$\left( {\sum i = 0} \right)$$ and second law $$\left( {\sum iR = \sum E} \right),$$ where the symbols have their usual meanings, are respectively based on
A
conservation of charge, conservation of momentum
B
conservation of energy, conservation of charge
C
conservation of momentum, conservation of charge
D
conservation of charge, conservation of energy

Explanation

NOTE : Kirchhoff's first law is based on conservation of charge and Kirchhoffs second law is based on conservation of energy.

Questions Asked from Current Electricity

On those following papers in MCQ (Single Correct Answer)
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