de Broglie (1924) predicted that small particles such as electrons should show wave -like properties along with paticle character. The wave length`(lamda)` associated with particle of mass m and moving with velocity v is given as `lamda=h/(mv)` where 'h' is plank's constant. The wave nature was confirmed by Davisson and Germer's experiment and modified equation for calculation of `lamda` can be given as:
`lamda=-h/(sqrt(2Em))` where E= kinetic energy of particle.
`lamda=h/(sqrt(2dVm))`, where d= change of particle accelerated potnetial of V volt.
The ratio of de-Broglie `chi` wavelength of molecules of `H_(2)` and He at `27^(@)C` adn `127^(@)C` respectively is

Options

A. 1.633
B. 0.612
C. 1.265
D. 0.79

Explanation

To solve the problem of finding the ratio of de Broglie wavelengths of molecules of \( H_2 \) and He at \( 27^\circ C \) and \( 127^\circ C \) respectively, we can follow these steps:

### Step 1: Convert Temperatures to Kelvin
To convert the given temperatures from Celsius to Kelvin:
- For \( 27^\circ C \):
\[ T_1 = 27 + 273 = 300 \, K \]
...