.Physics
Physics, 24.08.2019 02:00, Unicorn1523
For an emission of wavelength 5000 angstroms, at what temperatures both spontaneous and stimulated emissions will be the same?
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❥ᕼᗴᖇᗴ IՏ YOᑌᖇ ᗩᑎՏ〠〠〠ᗯᗴᖇ ᗰY ᖴᖇIᗴᑎᗪ ᗩᑎᗪ ᘜOOᗪ ᗴᐯᗴᑎIᑎᘜ࿐
꧁༺ᒪOᐯᗴ YOᑌ ᖴᖇIᗴᑎᗪՏ༻꧂
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✍︎ANSWER✍︎
ғᴏʀ ᴀɴ ᴇᴍɪssɪᴏɴ ᴏғ ᴡᴀᴠᴇʟᴇɴɢᴛʜ 5000 ᴀɴɢsᴛʀᴏᴍ, ʙᴏᴛʜ sᴘᴏɴᴛᴀɴᴇᴏᴜs ᴀɴᴅ sᴛɪᴍᴜʟᴀᴛᴇᴅ ᴇᴍɪssɪᴏɴs ᴡɪʟʟ ʙᴇ sᴀᴍᴇ ᴀᴛ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ 28869.6 ᴋ
ᴛʜᴇ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ɪs ᴄᴀʟᴄᴜʟᴀᴛᴇᴅ ʙʏ ᴛʜᴇ ғᴏʀᴍᴜʟᴀ
\ғʀᴀᴄ{ɴ}{ɴ}ɴɴ =ᴇ^(-ʜᴄ/λᴋᴛ)-1
ʜᴇʀᴇ, ɴ ɪs ɴᴜᴍʙᴇʀ ᴏғ sᴘᴏɴᴛᴀɴᴇᴏᴜs ᴇᴍɪssɪᴏɴ, ɴ ɴᴜᴍʙᴇʀ ᴏғ sᴛɪᴍᴜʟᴀᴛᴇᴅ ᴇᴍɪssɪᴏɴ, ʜ ɪs ᴘʟᴀɴᴄᴋ's ᴄᴏɴsᴛᴀɴᴛ, ᴄ ɪs sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ, ᴋ ɪs ʙᴏʟᴛᴢᴍᴀɴɴ ᴄᴏɴsᴛᴀɴᴛ, ᴀɴᴅ ᴛ ɪs ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ
ᴘʟᴜɢɢɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs ɪɴ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴇǫᴜᴀᴛɪᴏɴ
1=ᴇ^((-6.64*10^(-34)*3*10^8)/(5000*10^(-10)*1.38*(10^-23)*ᴛ)
ᴛ=28869.6 ᴋ
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