1
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 $$0.05\% $$
2
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
$$ - 24\pi {\varepsilon _0}r$$
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
Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega $$ along the $$x$$-axis. Their mean position is separated by distance $${X_0}\left( {{X_0} > A} \right)$$. If the maximum separation between them is $$\left( {{X_0} + A} \right),$$ the phase difference between their motion is:
A
$${\pi \over 3}$$
B
$${\pi \over 4}$$
C
$${\pi \over 6}$$
D
$${\pi \over 2}$$
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