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In a nuclear fission reaction of an isotope of mass M. Three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect Δ M will be

Asked in JEE Main 30th Jan 2nd Shift 2024 · Q-value, decay and conservation laws

• (1) (Δ Mc²)/3
• (2) √(2cΔ M)/M
• (3) c√(2Δ M)/M
• (4) c√(3Δ M)/M

Step-by-step solution

Why the other options are wrong

• (1) Gives an energy, not a speed.
• (2) Dimensionally wrong: c must come out of the root.
• (4) Uses the mass of one daughter as /M9.

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