A nucleus of mass m disintegrate into two pieces of mass m/3 and 2m/3. The ratios of their de-Broglie wavelength will be - ​

Question

A nucleus of mass m disintegrate into two pieces of mass \(\frac m3\) and \(\frac{2m}3\). The ratios of their de-Broglie wavelength will be -

(1) \(\frac{\lambda_1}{\lambda_2} = \frac12\)

(2) \(\frac{\lambda_1}{\lambda_2} = \frac21\)

(3) \(\frac{\lambda_1}{\lambda_2} = \frac11\)

(4) \(\frac{\lambda_1}{\lambda_2} = \frac43\)

Answer 1

Correct option is (3) \(\frac{\lambda_1}{\lambda_2} = \frac11\)

Since their momentum will be same, so λ_db =  same