JEE Main 2021 — Structure Of Atom Question with Solution
From: JEE Main 2021 (Online) 24th February Morning Shift
Question
A proton and a Li3+ nucleus are accelerated by the same potential. If and denote the
de Broglie wavelengths of Li3+ and proton respectively, then the value of
is x 10-1.
The value of x is ______. (Rounded off to the nearest integer)
[Mass of Li3+ = 8.3 mass of proton]
The value of x is ______. (Rounded off to the nearest integer)
[Mass of Li3+ = 8.3 mass of proton]
Enter your answer
Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Given, mass of Li3+ = 8.3 times of mass of proton formula,
De-Broglie wavelength,
Here, h = Planck's constant = 6.624 1034 J-s
m = Mass of atom
q = Charge (or number of electrons)
.... (i)
.... (ii)
Now, Eq. (i) divided by Eq. (ii), we get,
We know that mLi = 8.3 mp
= 2 101
Hence, x 101, x = 2
De-Broglie wavelength,
Here, h = Planck's constant = 6.624 1034 J-s
m = Mass of atom
q = Charge (or number of electrons)
.... (i)
.... (ii)
Now, Eq. (i) divided by Eq. (ii), we get,
We know that mLi = 8.3 mp
= 2 101
Hence, x 101, x = 2
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