The graphs between current (I) and voltage (V) for three linear resistors 1,2 and 3 are given below : If Ri, R2 and R3 are the resistances of these resistors, then which one of the following is correct?

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Q: 43 (NDA-II/2018)
The graphs between current (I) and voltage (V) for three linear resistors 1,2 and 3 are given below : If Ri, R2 and R3 are the resistances of these resistors, then which one of the following is correct?

question_subject: 

Science

question_exam: 

NDA-II

stats: 

0,0,2,1,1,0,0

keywords: 

{'linear resistors': [0, 0, 0, 1], 'resistors': [0, 0, 0, 1], 'resistances': [0, 0, 0, 3], 'graphs': [0, 0, 1, 0], 'voltage': [0, 0, 0, 1], 'r3': [0, 0, 1, 1], 'r1': [0, 0, 0, 2], 'r2': [0, 0, 1, 3], 'ri': [0, 0, 0, 1]}

The correct answer is option 4: R3 > R2 > R1.

In the given graph, we can see that for resistor 3, the slope of the line (change in V/change in I) is steeper compared to resistor 2, and resistor 2 has a steeper slope compared to resistor 1.

The slope of the current-voltage graph is inversely proportional to the resistance of the resistor. Higher resistance results in a steeper slope and vice versa.

Therefore, we can conclude that resistor 3 has the highest resistance (R3), followed by resistor 2 (R2), and resistor 1 (R1) has the lowest resistance among the three.

Hence, option 4 is correct: R3 > R2 > R1.

This means that the resistance values decrease from resistor 3 to resistor 1.