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I. Multiple Choice Questions · Q15

Q.In Joule's heating law, when R and t are constant, if H is taken along the y axis and I2I^2 along the x axis, the graph is

(a) straight line
(b) parabola
(c) circle
(d) ellipse
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Step 1. Joule's law states H=I2RtH=I^2Rt.

Step 2. With R and t held constant, this can be rewritten as H=(Rt)×I2H=(Rt)\times I^2, i.e. HH is a CONSTANT multiple of I2I^2.

Step 3. Plotting H (y-axis) against I2I^2 (x-axis), this constant-multiple relationship, H=(constant)×(I2)H=(\text{constant})\times(I^2), is exactly the equation of a straight line through the origin, with slope equal to RtRt. …

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