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Resistance and Resistivity for JEE: 56 solved questions

Real JEE paper questions on resistance and resistivity, part of current electricity. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

• Resistance of a wire and stretching — 34 questions
• Temperature dependence of resistance — 22 questions

All 56 questions with solutions

• Which of the following resistivity (ρ) v/s temperature (T) curves is most suitable to be used in wire bound s… JEE Main 22nd Jan 1st Shift 2025
• The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point ar… JEE Main 4th April 1st Shift 2024
• The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as r=(0.35±0.05)… JEE Main 1st Feb 1st Shift 2024
• An electric toaster has resistance of 60 Ω at room temperature (27°C). The toaster is connected to a 220 V su… JEE Main 30th Jan 1st Shift 2024
• Two conductors have the same resistances at 0°C but their temperature coefficients of resistance are α₁ and α… JEE Main 31st Jan 1st Shift 2024 (also JEE Main 2010)
• The resistivity (ρ) of semiconductor varies with temperature. Which of the following curve represents the cor… JEE Main 6th April 1st Shift 2023
• A wire of resistance 160 Ω is melted and drawn in a wire of one-fourth of its length. The new resistance of t… JEE Main 12th April 1st Shift 2023
• A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform… JEE Main 25th Jan 1st Shift 2023
• The resistance of a wire is 5 Ω. Its new resistance in ohm if stretched to 5 times of its original length wil… JEE Main 25th Jan 2nd Shift 2023
• An electric cable of copper has just one wire of radius 9 mm. Its resistance is 14 Ω. If this single copper w… JEE Main 30th June 1st Shift 2022
• A wire of resistance R₁ is drawn out so that its length is increased by twice of its original length. The rat… JEE Main 28th July 1st Shift 2022
• Two metallic wires of identical dimensions are connected in series. If σ₁ and σ₂ are the conductivities of th… JEE Main 29th July 1st Shift 2022
• Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Asserti… JEE Main 29th July 2nd Shift 2022
• A 1 m long wire is broken into two unequal parts X and Y. The X part of the wire is stretched into another wi… JEE Main 29th July 2nd Shift 2022
• An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is JEE Main 26th June 1st Shift 2022
• Resistance of the wire is measured as 2 Ω and 3 Ω at 10°C and 30°C respectively. Temperature co-efficient of… JEE Main 28th June 2nd Shift 2022
• What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to… JEE Main 26th Aug 1st Shift 2021
• A copper (Cu) rod of length 25 cm and cross-sectional area 3 mm² is joined with a similar aluminium (Al) rod… JEE Main 22nd July 2nd Shift 2021
• The resistance of a conductor at 15°C is 16 Ω and at 100°C is 20 Ω. What will be the temperature coefficient… JEE Main 27th July 2nd Shift 2021
• A conducting wire of length l, area of cross-section A and electric resistivity ρ is connected between the te… JEE Main 16th March 1st Shift 2021
• A wire of 1 Ω has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in… JEE Main 26th Feb 2nd Shift 2021
• Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity ρ_C, ρ_T, ρ_M and… JEE Main 2nd Sept 1st Shift 2020
• In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As sh… JEE Main 10th April 1st Shift 2019
• Space between two concentric conducting spheres of radii a and b (b>a) is filled with a medium of resistivity… JEE Main 10th April 2nd Shift 2019
• A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its… JEE Main 9th Jan 1st Shift 2019
• A heating element has a resistance of 100 Ω at room temperature. When it is connected to a supply of 220 V, a… JEE Main Online 2018
• A uniform wire of length l and radius r has a resistance of 100 Ω. It is recast into a wire of radius r/2. Th… JEE Main Online 2017
• The temperature dependence of resistances of Cu and undoped Si in the temperature range 300 to 400 K, is best… JEE Main 2016
• Suppose the drift velocity v_d in a material varied with the applied electric field E as v_d∝√E. Then V-I gra… JEE Main Online 2015
• If a wire is stretched to make it 0.1% longer, its resistance will JEE Main 2011
• This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose th… JEE Main 2009
• The resistance of a wire is 5 ohm at 50°C and 6 ohm at 100°C. The resistance of the wire at 0°C will be JEE Main 2007
• A material B has twice the specific resistance of A. A circular wire made of B has twice the diameter of a wi… JEE Main 2006
• The resistance of a bulb filament is 100 Ω at a temperature of 100°C. If its temperature coefficient of resis… JEE Main 2006
• The thermistors are usually made of JEE Main 2004
• An electric current is passed through a circuit containing two wires of the same material, connected in paral… JEE Main 2004
• A piece of copper and another of germanium are cooled from room temperature to 77 K, the resistance of JEE Main 2004
• The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentia… JEE Main 2003
• A strip of copper and another germanium are cooled from room temperature to 80 K. The resistance of JEE Main 2003
• The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the c… JEE Main 2003
• By increasing the temperature, the specific resistance of a conductor and a semiconductor JEE Main 2002
• A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μF when th… JEE Main 8th April 2nd Shift 2026
• Two wires A and B are made up of the same material and have the same mass. Wire A has radius 2.0 mm and wire… JEE Main 4th April 2nd Shift 2024
• A wire of resistance R and radius r is stretched till its radius became r/2. If new resistance of the stretch… JEE Main 6th April 1st Shift 2024
• Resistance of a wire at 0°C, 100°C and t°C is found to be 10 Ω, 10.2 Ω and 10.95 Ω, respectively. The tempera… JEE Main 8th April 1st Shift 2024
• At room temperature (27°C), the resistance of a heating element is 50 Ω. The temperature coefficient of the m… JEE Main 9th April 2nd Shift 2024
• The length of a metallic wire is increased by 20% and its area of cross-section is reduced by 4%. The percent… JEE Main 6th April 1st Shift 2023
• A rectangular parallelopiped is measured as 1 cm×1 cm×100 cm. If its specific resistance is 3×10⁻⁷ Ω m, then… JEE Main 10th April 2nd Shift 2023
• The current flowing through a conductor connected across a source is 2 A and 1.2 A at 0°C and 100°C respectiv… JEE Main 12th April 1st Shift 2023
• A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm re… JEE Main 24th Jan 1st Shift 2023
• If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wir… JEE Main 24th Jan 2nd Shift 2023
• Eight copper wire of length l and diameter d are joined in parallel to form a single composite conductor of r… JEE Main 25th July 1st Shift 2022
• The length of a given cylindrical wire is increased to double of its original length. The percentage increase… JEE Main 25th June 2nd Shift 2022
• The variation of applied potential and current flowing through a given wire is shown in figure. The length of… JEE Main 29th June 1st Shift 2022
• Two wires of same length and thickness having specific resistances 6 Ω cm and 3 Ω cm respectively are connect… JEE Main 18th March 2nd Shift 2021
• Wheatstone bridge principle is used to measure the specific resistance (S₁) of given wire, having length L, r… JEE Main 27th Jan 2nd Shift 2024