1
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
The charge flowing through a resistance R varies with time t is Q = at $$-$$ bt2, where $$a$$ and $$b$$ are positive constants. The total heat produced in R is
A
$${{{a^3}R} \over {2b}}$$
B
$${{{a^3}R} \over {b}}$$
C
$${{{a^3}R} \over {6b}}$$
D
$${{{a^3}R} \over {3b}}$$
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Two metal wires of identical dimensions are connected in series. If $$\sigma $$1 and $$\sigma $$2 are the conductivity of the combination is
A
$${{{\sigma _1} + {\sigma _2}} \over {{\sigma _1}{\sigma _2}}}$$
B
$${{{\sigma _1}{\sigma _2}} \over {{\sigma _1} + {\sigma _2}}}$$
C
$${{2{\sigma _1}{\sigma _2}} \over {{\sigma _1} + {\sigma _2}}}$$
D
$${{{\sigma _1} + {\sigma _2}} \over {2{\sigma _1}{\sigma _2}}}$$
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be
A
2A
B
1A
C
0.5 A
D
0.25 A
4
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E0 and a resistance r1. An unknown e.m.f. E is balanced at a length $$l$$ of the potentiometer wire. The e.m.f. E will be given by
A
$${{{E_0}l} \over L}$$
B
$${{L{E_0}r} \over {\left( {r + {r_1}} \right)l}}$$
C
$${{L{E_0}r} \over {l{r_1}}}$$
D
$${{{E_0}r} \over {\left( {r + {r_1}} \right)}}.{l \over L}$$
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