(a)
The particle with greater tunnelling probability.
(a)
Answer to Problem 48P
The particle with greater tunnelling probability is
Explanation of Solution
Write the expression for tunnelling probability.
Here,
Write the expression for
Here,
Since the mass of deuteron is greater than that of the proton, the proton has greater tunnelling probability.
(b)
The ratio of the tunnelling probabilities.
(b)
Answer to Problem 48P
The ratio of the tunnelling probabilities is
Explanation of Solution
Write the expression for tunnelling probability of proton and deuteron.
Here,
Write the expression for
Here,
Here,
Subtracting (IV) form (V)
The mass of the deuteron is two times the mass of the proton i.e.
Rearranging (I)
Substituting (VI) in (VII) and using
Conclusion
Substitute
Thus, the ratio of tunnelling probability is
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