Derive the law of radioactive decay
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Law Of Radioactive Decay Derivation
According to the radioactive decay law, when a radioactive material undergoes either or β or ℽ decay, the number of nuclei undergoing the decay per unit time is proportional to the total number of nuclei in the given sample material.
According to the radioactive decay law, when a radioactive material undergoes either or β or ℽ decay, the number of nuclei undergoing the decay per unit time is proportional to the total number of nuclei in the given sample material.
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ʟᴀᴡ ᴏꜰ ʀᴀᴅɪᴏᴀᴄᴛɪᴠᴇ ᴅᴇᴄᴀʏ ᴅᴇʀɪᴠᴀᴛɪᴏɴ :
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ʀᴀᴅɪᴏᴀᴄᴛɪᴠᴇ ᴅᴇᴄᴀʏ ʟᴀᴡ, ᴡʜᴇɴ ᴀ ʀᴀᴅɪᴏᴀᴄᴛɪᴠᴇ ᴍᴀᴛᴇʀɪᴀʟ ᴜɴᴅᴇʀɢᴏᴇꜱ ᴇɪᴛʜᴇʀ ᴏʀ β ᴏʀ ℽ ᴅᴇᴄᴀʏ, ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ɴᴜᴄʟᴇɪ ᴜɴᴅᴇʀɢᴏɪɴɢ ᴛʜᴇ ᴅᴇᴄᴀʏ ᴘᴇʀ ᴜɴɪᴛ ᴛɪᴍᴇ ɪꜱ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴛʜᴇ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ɴᴜᴄʟᴇɪ ɪɴ ᴛʜᴇ ɢɪᴠᴇɴ ꜱᴀᴍᴘʟᴇ ᴍᴀᴛᴇʀɪᴀʟ.
ᴛʜᴇ ʀᴀᴅɪᴏᴀᴄᴛɪᴠᴇ ᴅᴇᴄᴀʏ ʟᴀᴡ ꜱᴛᴀᴛᴇꜱ ᴛʜᴀᴛ “ᴛʜᴇ ᴘʀᴏʙᴀʙɪʟɪᴛʏ ᴘᴇʀ ᴜɴɪᴛ ᴛɪᴍᴇ ᴛʜᴀᴛ ᴀ ɴᴜᴄʟᴇᴜꜱ ᴡɪʟʟ ᴅᴇᴄᴀʏ ɪꜱ ᴀ ᴄᴏɴꜱᴛᴀɴᴛ, ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ ᴏꜰ ᴛɪᴍᴇ”.
ɪᴛ ɪꜱ ʀᴇᴘʀᴇꜱᴇɴᴛᴇᴅ ʙʏ λ (ʟᴀᴍʙᴅᴀ) ᴀɴᴅ ɪꜱ ᴄᴀʟʟᴇᴅ ᴅᴇᴄᴀʏ ᴄᴏɴꜱᴛᴀɴᴛ.
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