Question

Dimensionally , Which of the following relation is correct​

Answer 1

I thought your question is...

Question:

Which of the following relation is dimensionally incorrect?

A) 1u = 931.5 MeV

B) 1u = 931.5 MeV/c²

C) 1u = 1.67×10^-27 kg

D) None of these

So, your answer will be.....

Answer:

A) 1u = 931.5 MeV

is your correct answer..

Solution:

As, we know, E=mc²

and energy released can be given as:

E=931MeV

for, m=1u

1u=931.5MeV/c²- Dimensionally correct [Dimension of mass]

1u=1.67×10^−27kg - Dimensionally correct [Dimension of mass]

but, 931.5 MeV is having the dimension of energy so it can't be equated to dimension of mass or dimension of 1u.

Hence, dimensionally correct data is given in option(A)

Hence, the correct option will be (A)

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