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If λ is inversely proportional to the square root of V, determine λ₂ when λ₁ = √V₂ / √V₁ = √100keV / √25keV = 2.

1. λ₂ equals half of λ₁
2. λ₂ is twice λ₁
3. λ₂ equals λ₁ multiplied by the square root of V
4. None of these are correct

Correct answer: λ₂ equals half of λ₁

Solution

The relationship λ ∝ 1/√V implies λ₁/λ₂ = √V₂/√V₁. Substituting the given values, λ₁/λ₂ = 2, so λ₂ = λ₁/2.

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