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All the edges of block with parallel faces are unequal its longest edge is four times its shorter edge .Find the ratio of maximum & minimum resistance between parallel faces.

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answer is D.

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Detailed Solution

R_{1} = \frac{ρ h}{l b} (l \times b)

$R_{2} = \frac{ρ l}{b h} (b \times h) = R_{\max}$

$R_{3} = \frac{ρ b}{l h} (l \times h) = R_{\min}$

$\frac{R_{\max}}{R_{\min}} = \frac{l^{2}}{b^{2}} = \frac{{(4b)}^{2}}{b^{2}} = \frac{16 b^{2}}{b^{2}} = 16$

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