Verified Solution • 2025–26 Session
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QJEEM23Phe1d8: JEE Main 2023 Physics - Class 12 JEEM23Phe1d8 Solution: Given below are two statements: Statement I : The equivalent…
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 :
Multiple Choice Options
- A Statement I is true but Statement II is false
- B Both Statement I and Statement II are true
- C Both Statement I and Statement II are false
- D Statement I is false but Statement II is true
Step-by-Step Verified Solution
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