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JEE Mains Previous Years Questions with Solutions
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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
Explanation
NOTE : Kirchhoff's first law is based on conservation of charge and Kirchhoffs second law is based on conservation of energy.
2
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
Explanation
$${\rho _B} = 2{\rho _A}$$
$${d_B} = 2{d_A}$$
$${R_B} = {R_A} \Rightarrow {{{\rho _B}{\ell _B}} \over {{A_B}}} = {{{P_A}{\ell _A}} \over {{A_A}}}$$
$$\therefore$$ $${{{\ell _B}} \over {{\ell _A}}} = {{{\rho _A}} \over {{\rho _B}}} \times {{d_B^2} \over {d_A^2}}$$ $$ = {{{\rho _A}} \over {2{\rho _A}}} \times {{4d_d^2} \over {d_A^2}} = 2$$
$${d_B} = 2{d_A}$$
$${R_B} = {R_A} \Rightarrow {{{\rho _B}{\ell _B}} \over {{A_B}}} = {{{P_A}{\ell _A}} \over {{A_A}}}$$
$$\therefore$$ $${{{\ell _B}} \over {{\ell _A}}} = {{{\rho _A}} \over {{\rho _B}}} \times {{d_B^2} \over {d_A^2}}$$ $$ = {{{\rho _A}} \over {2{\rho _A}}} \times {{4d_d^2} \over {d_A^2}} = 2$$
3
AIEEE 2004
MCQ (Single Correct Answer)
The electrochemical equivalent of a metal is $${3.35109^{ - 7}}$$ $$kg$$ per Coulomb. The mass of the metal liberated at the cathode when a $$3A$$ current is passed for $$2$$ seconds will be
Explanation
The mass liberated $$m,$$ electrochemical equivalent of a metal $$Z,$$ are related as $$m = Zit$$
$$ \Rightarrow m = 3.3 \times {10^{ - 7}} \times 3 \times 2$$
$$ = 19.8 \times {10^{ - 7}}\,kg$$
$$ \Rightarrow m = 3.3 \times {10^{ - 7}} \times 3 \times 2$$
$$ = 19.8 \times {10^{ - 7}}\,kg$$
4
AIEEE 2004
MCQ (Single Correct Answer)
The thermo $$emf$$ of a thermocouple varies with temperature $$\theta $$ of the hot junction as $$E = a\theta + b{\theta ^2}$$ in volts where the ratio $$a/b$$ is $${700^ \circ }C.$$ If the cold junction is kept at $${0^ \circ }C,$$ then the neutral temperature is
Explanation
Neutral temperature is the temperature of a hot junction at which $$E$$ is maximum.
$$ \Rightarrow {{dE} \over {d\theta }} = 0$$
or $$a + 2b\theta = 0 \Rightarrow \theta = {{ - a} \over {2b}} = - 350$$
Neutral temperature can never be negative hence no $$\theta $$ is possible.
$$ \Rightarrow {{dE} \over {d\theta }} = 0$$
or $$a + 2b\theta = 0 \Rightarrow \theta = {{ - a} \over {2b}} = - 350$$
Neutral temperature can never be negative hence no $$\theta $$ is possible.
Questions Asked from Current Electricity
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