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Questions  >>  JEEMAIN and NEET  >>  Physics  >>  Class12  >>  Current Electricity
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Q)

Suppose you have three variable resistors each of range 15 ohms to 30 ohms. Which of the following values of equivalent resistance cannot be obtained using these 3 variable resistors?

$\begin {array} {1 1} (A)\;10\Omega & \quad (B)\;45\Omega \\ (C)\;61\Omega & \quad (D)\;100\Omega \end {array}$

 

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A)
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The range of equivalent resistances possible to generate using these is
$ \large\frac{15}{3} $$ohms$ to $ 30 \times 3\: ohms.$ Since variable resistors have a continuous range,
equivalent resistors have a continuous range. Hence, one can obtain all values
between $5\: ohms\: to\: 90\: ohms.$
Ans : (D)
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