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31.

A square loop PQRSPQRS is made of uniform resistance wire. Let XX, YY and ZZ be the equivalent resistance of the loop when connected as shown below :

Table of three ways of connecting a square loop PQRS, with equivalent resistances X, Y and Z

Which of the following relations is correct ?

32.
Figure (a): circuit with cell, ammeter, resistance wire, variable resistor and voltmeter. Figure (b): straight V against I graph

Figure (a) shows a circuit used to investigate how the voltage VV across a resistance wire varies with the current II through the wire. The result is shown in Figure (b). If the experiment is repeated using a thinner wire of the same material and of equal length, which of the following graphs (denoted by the dashed line) represents the expected result ?

Four V against I graphs A to D, each with a solid line and a dashed line
33.

In the circuit shown, both ammeters A1A_1 and A2A_2 read 11 A when the switch SS is open. Find the readings of the two ammeters when SS is closed.

Battery, 3 ohm resistor with ammeter A1, and 6 ohm resistor with switch S in parallel, with ammeter A2 in the main line
A1A_1A2A_2
0.50.5 A1.51.5 A
0.670.67 A11 A
11 A1.51.5 A
11 A33 A
34.
V against I graph with two straight lines X and Y from the origin, Y steeper; regions P (above Y) and Q (below X)

The figure above shows the voltage-current (VV-II) graphs of two resistors XX and YY. Which of the following deductions is/are correct ?

(1)The resistance of XX is higher than that of YY.
(2)If XX and YY are connected in series, the VV-II graph of the combined resistor will lie in region PP.
(3)If XX and YY are connected in parallel, the VV-II graph of the combined resistor will lie in region QQ.
35.

Which of the following relations is incorrect ?

36.

If the ammeter in the circuit reads 33 A, find the voltage of the battery.

Battery with 2 ohm and 1 ohm resistors in parallel, in series with a 3 ohm resistor and an ammeter
37.
Battery with a 4 ohm resistor in series with R1 = 6 ohm and R2 = 12 ohm in parallel between P and Q

Three resistors are connected to a battery as shown above. Which of the following statements is/are correct ?

(1)The current passing through R1R_1 is equal to that passing through R2R_2.
(2)The voltage across R1R_1 is equal to that across R2R_2.
(3)The energy dissipated by one coulomb of charge passing through the 4 Ω4\ \Omega-resistor is equal to that dissipated by one coulomb of charge passing through PQPQ.
38.
Battery with resistors R1, R2, R3 in parallel branches with ammeters A1, A2, A3 and a switch S in the R3 branch

If switch SS in the above circuit is closed, which of the following statements is/are correct ?

(1)The readings of ammeters A1A_1 and A2A_2 are both increased.
(2)The ratio of the readings of ammeters A1A_1 and A2A_2 is increased.
(3)The reading of ammeter A3A_3 remains unchanged.
39.
9 V battery with an ammeter, a resistor and a bulb in parallel

A resistor and a bulb are connected in parallel to a 99 V battery as shown above. The reading of the ammeter is 55 A. If the power dissipated by the resistor is 1818 W, find the power dissipated by the bulb.

40.
Experimental set-up with battery, variable resistor, switch, bulb, ammeter and voltmeter with wires (1), (2), (3) and terminals P, Q, R

The above figure shows an experimental set-up for measuring the resistance of a bulb. To which of the terminals PP, QQ and RR should each of the wires be connected ?

Wire (1)Wire (2)Wire (3)
PPQQRR
PPRRQQ
QQPPRR
RRPPQQ
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