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Atomic and Nuclear Physics Answers

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Living matter has 1.3 × 10-10 % of its carbon in the form of 14C which has a half-life of 5730 y. A mammoth bone has a 300-g sample of carbon separated from it, and the sample is found to have an activity of 20 decays per second. How old is the bone?
The acceleration due to gravity on the earth surface of planet is 10m/s² if radius of planet is 6400km. Calculate acceleration due to gravity at height 3600km above surface
You want to find the half-life of an element. At 12 AM on the first day you find that the element has decayed 50000 times after 1 min. At 12 AM on the second day you find that the element has decayed 45000 times in 1 minute. What is the half-life of the element?
If an electron had exist inside the nucleus.then its de-broglie wavelength would be rough of the order of nuclear diameter I.e.0.0001m. How much energy correspond to this wave length? How much energy in MeV and explain how these results prove that the electron can not exist inside nucleus
As Boron absorbs neutron, what happens then to Boron? Does it become excited or something else happens?
The radius of hydrogen atom is 0.43 ×10¹² m convert it in cm,mm,nm
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