A metal rod of length 10cm and a rectangular cross section of 1cm -12Cm is connected to a battery across opposite faces- The resistance will be-

The correct option is B Maximum when the battery is connected cross 1 cm ×12 cm faceslength =10cm rectangular cross section #160; =1cm× 1 ...

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Standard XII

Physics

Charges on Conductors

A metal rod o...

Question

A metal rod of length $10$ cm and a rectangular cross section of $1$ cm $\times \frac{1}{2}$ Cm is connected to a battery across opposite faces. The resistance will be.

Maximum when the battery is connected cross

1

\times \frac{1}{2}

cm faces

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Maximum when the battery is connected across

10

\times 1

cm faces

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Maximum when the battery is connected across

10

\times \frac{1}{2}

cm faces

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Same irrespective of the three faces

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Solution

The correct option is B Maximum when the battery is connected cross $1$ cm $\times \frac{1}{2}$ cm faces
length $= 10 c m$
rectangular cross section $= 1 c m \times \frac{1}{2} c m$ .
The resistance will be $R = ρ \times \frac{l}{A}$
$R α \frac{l}{A}$
For maximum resistance A should be minimum and l should be longer.
So option A

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A metal rod of length 10cm and a rectangular cross section of 1cm ×12Cm is connected to a battery across opposite faces. The resistance will be.

The correct option is B Maximum when the battery is connected cross 1cm ×12cm faceslength =10cmrectangular cross section =1cm×12cm.The resistance will be R=ρ×lA R α lAFor maximum resistance A should be minimum and l should be longer.So option A

A metal rod of length $10$ cm and a rectangular cross section of $1$ cm $\times \frac{1}{2}$ Cm is connected to a battery across opposite faces. The resistance will be.