1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A current $$I$$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $$R.$$ The magnitude of the magnetic induction along its axis is:
A
$${{{\mu _0}I} \over {2{\pi ^2}R}}$$
B
$${{{\mu _0}I} \over {2\pi R}}$$
C
$${{{\mu _0}I} \over {4\pi R}}$$
D
$${{{\mu _0}I} \over {{\pi ^2}R}}$$
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
If a wire is stretched to make it $$0.1\% $$ longer, its resistance will:
A
increase by $$0.2\% $$
B
decrease by $$0.2\% $$
C
decrease by $$0.05\% $$
D
increase by $$0.05\% $$
3
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Two identical charged spheres suspended from a common point by two massless strings of length $$l$$ are initially a distance $$d\left( {d < < 1} \right)$$ apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result charges approach each other with a velocity $$v$$. Then as a function of distance $$x$$ between them,
A
$$v\, \propto \,{x^{ - 1}}$$
B
$$y\, \propto \,{x^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}$$
C
$$v\, \propto \,x$$
D
$$v\, \propto \,{x^{ - {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}$$
4
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
The electrostatic potential inside a charged spherical ball is given by $$\phi = a{r^2} + b$$ where $$r$$ is the distance from the center and $$a,b$$ are constants. Then the charge density inside the ball is:
A
$$ - 6a{\varepsilon _0}r$$
B
$$ - 24\pi a{\varepsilon _0}$$
C
$$ - 6a{\varepsilon _0}$$
D
$$ - 24\pi {\varepsilon _0}r$$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12