KCET · Chemistry · Structure of Atom
Which of the following represents de Broglie equation?
- A \(\lambda = \dfrac{h}{\sqrt{mv}}\)
- B \(\lambda = \dfrac{h}{mv}\)
- C \(\lambda = \dfrac{h}{mp}\)
- D \(\lambda = \dfrac{\mu}{p}\)
Answer & Solution
Correct Answer
(B) \(\lambda = \dfrac{h}{mv}\)
Step-by-step Solution
Detailed explanation
According to de Broglie's hypothesis, every moving particle is associated with a wave. The wavelength \(\lambda\) of the matter wave is inversely proportional to the momentum \(p\) of the particle.
\(\lambda = \dfrac{h}{p}\)
Since momentum \(p = mv\), where \(m\) is the mass and \(v\) is the velocity of the particle, the equation can be written as:
\(\lambda = \dfrac{h}{mv}\)
Answer: \(\lambda = \dfrac{h}{mv}\)
\(\lambda = \dfrac{h}{p}\)
Since momentum \(p = mv\), where \(m\) is the mass and \(v\) is the velocity of the particle, the equation can be written as:
\(\lambda = \dfrac{h}{mv}\)
Answer: \(\lambda = \dfrac{h}{mv}\)
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