Question

समान पदार्थ के दो घनों की भुजाएँ क्रमशः
तथा 21 हैं। इनके प्रतिरोधों का अनुपात होगा​

Answer 1

Answer:

Resistance of two cubes are in ratio of 21 : 1

Explanation:

If the sides of two cubes are in ratio of 1 : 21

so here we know that the resistance of the cube is given as

$R = \rho \frac{L}{A}$

here we know that each side of the cube is of length "a" then we have

$R = \rho \frac{a}{a^2} = \frac{\rho}{a}$

now the ratio of resistance of two cubes is given as

$\frac{R_1}{R_2} = \frac{\frac{\rho}{a}}{\frac{\rho}{b}}$

so we have

$\frac{R_1}{R_2} = \frac{b}{a}$

$\frac{R_1}{R_2} = \frac{21}{1}$

#Learn

Topic : Resistance

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