AP EAMCET · Chemistry · Structure of Atom

If two particles $A$ and $B$ are moving with the same velocity, but wavelength of $A$ is found to be double than that of $B .$ Which of the following statements are correct?

A Both $A$ and $B$ have same mass
B Mass of $A$ is half that of $B$
C Mass of $B$ is half that of $A$
D Mass of $B$ is one-fourth that of $A$

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Answer & Solution

Correct Answer

(B) Mass of $A$ is half that of $B$

Step-by-step Solution

Detailed explanation

So according to the De brogli's we know the relation between momentum and wavelength which is λ = hmv If both particle have same velocity but when wavelength of A is found to be double than that of B Then relation between mass of both particle is…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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If two particles A and B are moving with the same velocity, but wavelength of A is found to be double than that of B. Which of the following statements are correct?

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If two particles $A$ and $B$ are moving with the same velocity, but wavelength of $A$ is found to be double than that of $B .$ Which of the following statements are correct?