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Current Electricity · Question 22

JEE Main 2026 (Online) 22nd January Evening ShiftNumericalEasy📈 Topic in 3% papers+4
1

A cylindrical conductor of length 2 m and area of cross-section 0.2 mm2 carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is 10-3 m2/V s. The value of is : (electron concentration = 5 1028 /m3 and electron charge = 1.6 10-19 C)

Answer

1

Solution

Drift speed: I = neAvd vd = IneA

vd = 1.65 1028 1.6 10-19 0.2 10-6

vd = 1.61.6 103 = 10-3 m/s

Electric field in the conductor: E = Vl = 22 = 1 V/m

Mobility: = vdE = 10-31 = 1 10-3 m2/V s

= 1

Answer: 1

JEE Main 2026 (Online) 22nd January Evening Shift

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