JEE Main 2023 — Current Electricity Question with Solution
From: JEE Main 2023 (Online) 15th April Morning Shift
Question
Given below are two statements:
Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.
Statement II : The resistivity of the material is independent of temperature.
In the light of the above statements, choose the correct answer from the options given below :
Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.
Statement II : The resistivity of the material is independent of temperature.
In the light of the above statements, choose the correct answer from the options given below :
Choose an option
Show full solutionCorrect option: C
Correct answer
CBoth Statement I and Statement II are false
Step-by-step explanation
Statement I is incorrect, as the equivalent resistance of resistors in a series combination is always greater than the largest individual resistance used in the combination. This is because the total voltage drop across the resistors in series is equal to the sum of the voltage drops across each resistor, and the current through each resistor is the same. Therefore, the resistance of the entire series combination is the sum of the individual resistances.
Statement II is also incorrect, as the resistivity of most materials changes with temperature. This is because temperature affects the mobility of charge carriers in a material, which in turn affects its resistivity. For example, the resistivity of metals generally increases with temperature, while the resistivity of semiconductors generally decreases with temperature.
Therefore, the correct answer is Both Statement I and Statement II are false
Statement II is also incorrect, as the resistivity of most materials changes with temperature. This is because temperature affects the mobility of charge carriers in a material, which in turn affects its resistivity. For example, the resistivity of metals generally increases with temperature, while the resistivity of semiconductors generally decreases with temperature.
Therefore, the correct answer is Both Statement I and Statement II are false
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This is a previous-year question from JEE Main 2023, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.