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QJEEM24Ph0fda: JEE Main 2024 Physics - Class 12 JEEM24Ph0fda Solution: In an alpha particle scattering experiment distance of closest…

In an alpha particle scattering experiment distance of closest approach for the α particle is 4.5×10−14 m. If target nucleus has atomic number 80 , then maximum velocity of α-particle is __________ ×105 m/s approximately.

(14πϵ0=9×109SI unit, mass of α particle =6.72×10−27 kg)

Step-by-Step Verified Solution

12mv02=14πϵ0z(e)r12×6.72×10−27v02=9×109×80×2×1.6×1.6×10−19×10−194.5×10−14v02=2×9×80×1.6×1.6×26.72×4.5×10−38+14+27+9v02=243.8×1012v0=15.6×106v0=156×105

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