A particle with rest energy 8.940 GeV decays at rest into two daughter particles, one with...

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A particle with rest energy 8.940 GeV decays at rest into twodaughter particles, one with rest energy 6.720 GeV and the otherwith rest energy 130.000 MeV.
(a) What is the mass of the parent particle?
(b) How much energy is released in the decay?

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4.4 Ratings (717 Votes)

Solution:

As we know;

Given rest energy of the parent particle, E = 8.94 GeV

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 8.94 x10 ⁹ eV

= 8.94 x10 ⁹ x1.6 x10 ^-19 J

As, E = mc ²

=> Rest mass of the parent particle, m = E / c ²

=> m = (8.94 x10 ⁹ x1.6 x10 ^-19 )/( 3 x10 ⁸ ) ²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.589 x10 ^-26 kg

Energy released = 8.94 - (6.72 + 1.3) Gev = 0.92 Gev = 920 MeV

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A particle with rest energy 8.940 GeV decays at rest into two daughter particles, one with...

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50.1K

Verified Solution

Question

Physics

A particle with rest energy 8.940 GeV decays at rest into twodaughter particles, one with rest energy 6.720 GeV and the otherwith rest energy 130.000 MeV.
(a) What is the mass of the parent particle?
(b) How much energy is released in the decay?

Answer & Explanation Solved by verified expert

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A particle with rest energy 8.940 GeV decays at rest into two daughter particles, one with...

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50.1K

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Physics

A particle with rest energy 8.940 GeV decays at rest into twodaughter particles, one with rest energy 6.720 GeV and the otherwith rest energy 130.000 MeV.(a) What is the mass of the parent particle?(b) How much energy is released in the decay?

Answer & Explanation Solved by verified expert

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A particle with rest energy 8.940 GeV decays at rest into twodaughter particles, one with rest energy 6.720 GeV and the otherwith rest energy 130.000 MeV.
(a) What is the mass of the parent particle?
(b) How much energy is released in the decay?