1
AIEEE 2004
+4
-1
Two spherical conductors $$B$$ and $$C$$ having equal radii and carrying equal charges on them repel each other with a force $$F$$ when kept apart at some distance. A third spherical conductor having same radius as that $$B$$ but uncharged is brought in contact with $$B,$$ then brought in correct with $$C$$ and finally removed away from both. The new force of repulsion between $$B$$ and $$C$$ is
A
$$F/8$$
B
$$3$$ $$F/4$$
C
$$F/4$$
D
$$3$$ $$F/8$$
2
AIEEE 2004
+4
-1
A charge particle $$'q'$$ is shot towards another charged particle $$'Q'$$ which is fixed, with a speed $$'v'$$. It approaches $$'Q'$$ upto a closest distance $$r$$ and then returns. If $$q$$ were given a speed of $$'2v'$$ the closest distances of approaches would be
A
$$r/2$$
B
$$2r$$
C
$$r$$
D
$$r/4$$
3
AIEEE 2004
+4
-1
Four charges equal to -$$Q$$ are placed at the four corners of a square and a charge $$q$$ is at its center. If the system is in equilibrium the value of $$q$$ is
A
$$- {Q \over 2}\left( {1 + 2\sqrt 2 } \right)$$
B
$${Q \over 4}\left( {1 + 2\sqrt 2 } \right)$$
C
$$- {Q \over 4}\left( {1 + 2\sqrt 2 } \right)$$
D
$${Q \over 2}\left( {1 + 2\sqrt 2 } \right)$$
4
AIEEE 2004
+4
-1
A charged oil drop is suspended in a uniform field of $$3 \times {10^4}$$ $$v/m$$ so that it neither falls nor rises. The charge on the drop will be (Take the mass of the charge $$= 9.9 \times {10^{ - 15}}\,\,kg$$ and $$g = 10\,m/{s^2}$$)
A
$$1.6 \times {10^{ - 18}}\,C$$
B
$$3.2 \times {10^{ - 18}}\,C$$
C
$$3.3 \times {10^{ - 18}}\,C$$
D
$$4.8 \times {10^{ - 18}}\,C$$
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Medical
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