Question

दो प्रकाश तरंगों की तीव्रता का अनुपात एकाशी संबंधी 49:81 है इनके आयामों का अनुपात क्या होगा

Answer 1

intensity is directlypropotional to (amplitude)square ,hence ratio is equal to 7:9

Answer 2

The ratio of their dimensions is 7:9.

Explanation:

Given that,

Ratio of intensity of two light waves us 49:81

To find,

The ratio of their dimensions.

Solution,

Dimension means the amplitude of the waves. The intensity of a wave is directly proportional to the square of amplitude. Let $A_1\ and\ A_2$ are the amplitude of two waves.

$\dfrac{I_1}{I_2}=\sqrt{\dfrac{A_1}{A_2}}$

$\dfrac{49}{81}=\sqrt{\dfrac{A_1}{A_2}}$

$\dfrac{A_1}{A_2}=\dfrac{7}{9}$

So, the ratio of their dimensions is 7:9. Hence, this is the required solution.

Learn more,

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