KCET · Physics · Current Electricity
The I-V graphs for two different electrical appliances \( \mathrm{P} \) and \( \mathrm{Q} \) are shown in diagram . If \( R_{p} \) and
\( R_{Q} \) be the resistances of the devices, then
- A \( R_{p}=R_{Q} \)
- B \( R_{p}>R_{Q} \)
- C \( R_{p} < R_{Q} \)
- D \( R_{p}=\frac{R_{Q}}{2} \)
Answer & Solution
Correct Answer
(B) \( R_{p}>R_{Q} \)
Step-by-step Solution
Detailed explanation
By Ohm's law, \( V=I R \Rightarrow \frac{I}{V}=\frac{1}{R} \)
Thus, the slope of I-V graph is reciprocal of resistance. In the given diagram,
Slope of \( Q> \) Slope of \( P \)
\(\Rightarrow \frac{1}{R_{0}}>\frac{1}{R_{p}}\)
\(\Rightarrow R_{p}>R_{o}\)
Thus, the slope of I-V graph is reciprocal of resistance. In the given diagram,
Slope of \( Q> \) Slope of \( P \)
\(\Rightarrow \frac{1}{R_{0}}>\frac{1}{R_{p}}\)
\(\Rightarrow R_{p}>R_{o}\)
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