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Current Electricity · Question 75

AIPMT 2009MCQMedium📈 Topic in 25% papers+4−1
1

See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it ? [figure]

  1. 2 - i2r2 - 1 - i1r1 = 0
  2. - 2 - (i1 + i2)R + i2r2 = 0
  3. 1 - (i1 + i2)R + i1r1 = 0
  4. 1 - (i1 + i2)R - i1r1 = 0

Answer

(4) 1 - (i1 + i2)R - i1r1 = 0

Solution

By Kirchhoff's junction rule, the current through R is (i1 + i2).

Apply Kirchhoff's loop rule to the loop containing 1, r1 and R, going round in the direction of current i1 (through 1 from its negative to its positive plate):

Gain across the cell = + 1, drop across R = -(i1 + i2)R, drop across r1 = -i1r1

1 - (i1 + i2)R - i1r1 = 0

Answer: (4)

AIPMT 2009

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2

A wire of resistance 12 ohms per metre is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure is [figure]

  1. 3
  2. 6
  3. 6
  4. 0.6
AIPMT 2009
3

A student measures the terminal potential difference (V) of a cell (of emf and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then respectively, equal

  1. -r and
  2. r and -
  3. - and r
  4. and -r
AIPMT 2009
4

The mean free path of electrons in a metal is 4 10-8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in units V/m

  1. 5 10-11
  2. 8 10-11
  3. 5 107
  4. 8 107
AIPMT 2009
5

[figure] In the circuit shown, the current through the 4 resistor is 1 amp when the points P and M are connected to a d.c. voltage source. The potential difference between the points M and N is

  1. 0.5 volt
  2. 3.2 volt
  3. 1.5 volt
  4. 1.0 volt
AIPMT 2008
6

A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively

  1. both remain the same
  2. 1.1 times, 1.1 times
  3. 1.2 times, 1.1 times
  4. 1.21 times, same
AIPMT 2008
7

A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively without and with being short circuited through a resistance of 10 . Its internal resistance is

  1. 2.0 ohm
  2. zero
  3. 1.0 ohm
  4. 0.5 ohm
AIPMT 2008
8

An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature 20 ? The temperature of boiling water is 100

  1. 12.6 min
  2. 4.2 min
  3. 6.3 min
  4. 8.4 min
AIPMT 2008
9

A current of 3 amp. flows through the 2 resistor shown in the circuit. The power dissipated in the 5 resistor is [figure]

  1. 1 watt
  2. 5 watt
  3. 4 watt
  4. 2 watt
AIPMT 2008
10

Three resistances, P, Q, R each of 2 and an unknown resistance S form the four arms of a Wheatstone bridge circuit. When a resistance of 6 is connected in parallel to S the bridge gets balanced. What is the value of S?

  1. 3
  2. 6
  3. 1
  4. 2
AIPMT 2007
11

The total power dissipated in watt in the circuit shown here is [figure]

  1. 40
  2. 54
  3. 4
  4. 16
AIPMT 2007

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