The I - V graphs for two different electrical appliance P and Q are shown in the diagram . If `R_p and R_Q` be the resistance of the devise , then

Options

A. `R_P = R_Q`
B. `R_P gt R_Q`
C. `R_P lt R_Q`
D. `R_P = (RQ)/2`

Answer

B

Explanation

The slope of I - V graph gives the reciprocal of resistance .
i.e., `tan theta = 1/ R`
where `theta` is the angle which the line makes with the V - axis.
From the graph,
As `theta_Q gt theta_P`
`:. tantheta_Q gt tantheta_P`
or `1/R_Qgt1/R_P " or "R_P gt R_Q`