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The temperature at which protons in prot...

The temperature at which protons in proton gas would have enough energy to overcome Coulomb barrier of `4.14 times 10^-14` is

A

`2 times 10^9 K`

B

`10^9 K`

C

`6 times 10^9 K`

D

`3 times 10^9 K`

Text Solution

Verified by Experts

The correct Answer is:
A
Given: `k=1.38 times 10^-23 JK^-1`
The energy of proton gas `=4.14 times 10^-14 J`
`therefore E=3/2 kT`
or `4.14 times 10^-14=3/2 times 1.38 times 10^-23 times T`
`T=2 times 10^9 K`
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