What should be the ratio of the velocities of `CH_(4) and O_(2)` molecules so that they are associated with de Broglie waves of equal wavelength?

Answer

A, B, C, D

Explanation

`lambda_(CH_4) = (h)/(m_CH_(4)xx v_(CH_(4))),lambda_(O_2) = (h)/(m_(O_(2)xx v_(O_(2)))), ( :' lambda_(CH_(4) = lambda_(O_(2))))`
` (h)/(m_CH_(4)xx v_(CH_(4)))= (h)/(m_(O_(2)xx v_(O_(2))))`
`(v_(CH_(4)))/(V_(O_2)) = (m_(O_(2)))/(m_(CH_(4))) = (32)/(16) = 2`