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RE-NEET2026Physics-Nuclear Physics

RE-NEET 2026 Physics Nuclear Reactions MCQ Question

Type: MCQ-numerical-Medium-Class 12

Consider the following nuclear reaction: ²³⁸U → ²³⁴Th + ⁴He. Take masses of ²³⁸U, ²³⁴Th and ⁴He as 238.050 u, 234.043 u and 4.003 u, respectively. The Q value for the reaction, in keV, is: [Given: 1 u = 931.5 MeV c⁻²]

A

3730

B

3736

C

3740

D

3726

Correct Answer

Option D

Detailed Explanation

✅ Ans: 4 → 3726 keV

Key Concept:

Q=(minitial−mfinal)c2Q=(m_{\text{initial}}-m_{\text{final}})c^2 Δm=238.050−(234.043+4.003)\Delta m=238.050-(234.043+4.003) =0.004 u=0.004\,u

Using 1u=931.5 MeV1u=931.5\,MeV:

Q=0.004×931.5=3.726 MeVQ=0.004\times931.5 =3.726\,MeV Q=3726 keV\boxed{Q=3726\,keV}

❌ Why other options are wrong?

  • 3730 ❌ → incorrect mass-defect conversion
  • 3736 ❌ → arithmetic error
  • 3740 ❌ → incorrect mass defect

📌 NCERT: “The energy equivalent of one atomic mass unit is about 931.5 MeV.”

🧠 NEET Trick: Mass defect → × 931.5 → MeV → ×1000 → keV.

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