HARD
JEE Main
IMPORTANT
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In the circuit shown, the resistance r is a variable resistance. If for r=fR , the heat generation in r is maximum then the value of f is

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Important Questions on Current Electricity

MEDIUM
JEE Main
IMPORTANT
To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to deflect the galvanometer by angle θ . If a shunt of resistance S is needed to get half deflection the G, R and S are related by the equation:
EASY
JEE Main
IMPORTANT
The temperature dependence of resistance of Cu and undoped Si in the temperature range 300-400 K is best described by
MEDIUM
JEE Main
IMPORTANT
A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A, is:
HARD
JEE Main
IMPORTANT
The resistance of an electrical toaster has a temperature dependence given by RT=R01+αT-T0 in its range of operation. At T0=300 K, R=100 Ω and at T=500 K, R=120 Ω. The toaster is connected to a voltage source at 200 V and its temperature is raised at a constant rate from 300 to 500 K in 30 s. The total work done in raising the temperature is :

Note: This question was awarded as the bonus since all options were incorrect in the exam. 
EASY
JEE Main
IMPORTANT
A 10V battery with internal resistance 1Ω and a 15V battery with internal resistance 0.6 Ω are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to:

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HARD
JEE Main
IMPORTANT
Suppose the drift velocity vd in a material varied with the applied electric field E as vd E. Then V-I graph for a wire made of such a material is best given by:
MEDIUM
JEE Main
IMPORTANT
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In the circuit shown, the current in the 1 Ω resistor is:
HARD
JEE Main
IMPORTANT
When 5 V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5×10-4 m s-1 . If the electron density in the wire is 8×1028 m-3 , the resistivity of the material is close to: