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Q.

A metal block has length 50 cm, breadth 30cm and thickness 20cm. When current passes through it parallel to its length and parallel to its breadth, the ratio of maximum to minimum resistance of that block is

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a

9 : 25

b

25 : 4

c

25 : 9

d

4 : 25

answer is C.

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Detailed Solution

We know resistance R is

$R = ρ \frac{L}{A}$

$\Rightarrow R_{1} = \frac{ρ \times 50}{30 \times 20} parallel to l$

$\Rightarrow R_{2} = \frac{ρ \times 30}{50 \times 20} parallel to b$

$\frac{R_{1}}{R_{2}} = \frac{25}{9}$

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