Question
Assertion

An electron cannot exist in the nucleus.

Reason

The de Broglie wavelength of an electron is much smaller than the diameter of the nucleus.

Read the above assertion and reason and choose the correct option regarding it.

An electron cannot exist in the nucleus.

A

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

B

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

C

Assertion is correct but Reason is incorrect

D

Assertion is incorrect but Reason is correct

Hard
Solution
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Correct option is C)

The diameter of the nucleus is in the range of ) for hydrogen (the diameter of a single proton) to about for the heaviest atoms, such as uranium.



For an electron to exist in a nucleus, its de Broglie wavelength () and the diameter of a nucleus () must have the following relation:



Now putting value of de Broglie's wavelength,

   

Putting value of , (mass of electron), and the order of diameter of nucleus (), we get , where is the speed of light, which is clearly not possible. 

So, an electron cannot exist inside the nucleus.

So, Assertion is correct but Reason is incorrect

Solve any question of Dual Nature of Radiation And Matter with:-
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