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A potentiometer is being used to compare two cells of emfs and . The balancing lengths are found to be and respectively. If a resistance R is connected across , its balancing length changes to . Which of the following relations must hold true?
and
and
and
and
A galvanometer with a resistance of and a full-scale deflection current of is to be converted into a voltmeter with a range of 0-5V. A resistance is connected in series with the galvanometer. Simultaneously, an identical galvanometer is converted into an ammeter of range 0-10mA by connecting a shunt resistance in parallel. What is the relationship between and ?
R_x = R_s
R_x = 1000 R_s
R_x R_s β 10 R_g^2
R_x R_s = R_g^2
Two cells of emf and and internal resistances and respectively are connected in parallel. The equivalent emf and internal resistance of the combination will be:
,
,
,
,
A potentiometer wire of length 100cm has a resistance of 10Ξ©. It is connected in series with a resistance R and a cell of emf 2V and negligible internal resistance. A source of emf 10mV is balanced against a length of 40cm of the potentiometer wire. What is the value of the resistance R?
790Ξ©
990Ξ©
1000Ξ©
820Ξ©
A cell of emf E and internal resistance r is connected across a variable external resistance R. The graph of terminal potential difference V against current I reaches a maximum value of V. What is the relationship between E, r, and this maximum value of V?
V = E/2
V = E
V = 2E
V = E/r
A battery of emf 10V and internal resistance 3Ξ© is connected to a resistor. If the current in the circuit is 0.5A, what is the terminal voltage of the battery when the circuit is closed?
10V
8.5V
5V
1.5V
A metre bridge setup uses a standard resistance of . A resistance wire of unknown value and uniform cross-section is connected across the left gap. The null point is obtained at from the left end. If the radius of the unknown wire is doubled without changing its length or resistivity, the new null point will be at:
27.27 cm
30 cm
40 cm
80 cm