1
AIEEE 2004
MCQ (Single Correct Answer)
+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
$${Q \over 2}\left( {1 + 2\sqrt 2 } \right)$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+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
$$4.8 \times {10^{ - 18}}\,C$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The resistance of the series combination of two resistances is $$S.$$ When they are jointed in parallel the total resistance is $$P.$$ If $$S = nP$$ then the Minimum possible value of $$n$$ is
A
$$2$$
B
$$3$$
C
$$4$$
D
$$1$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of $${4 \over 3}$$ and $${2 \over 3}$$, then the ratio of the current passing through the wires will be
A
$$8/9$$
B
$$1/3$$
C
$$3$$
D
$$2$$
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