what is relations between debrogli wavelength and radius ?
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Explanation:
Since the circumference of a cirle is 2pi times the radius, the general formula relating deBroglie wavelength to orbit radius is just the following: lambda(n) = 2pi x r(n) / n, where lambda(n) is the deBroglie wavelength, pi is just 3.1416, r(n) is the radius of the nth orbit, and n = 1, 2, 3, ..., etc.
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Rᴇʟᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ Bᴏʜʀ ʀᴀᴅɪᴜs ᴀɴᴅ ᴅᴇ Bʀᴏɢʟɪᴇ ᴡᴀᴠᴇʟᴇɴɢᴛʜ
Fᴏʀ sᴛᴀʙʟᴇ Bᴏʜʀ's ᴏʀʙɪᴛ, ᴛʜᴇ sɪɴɢʟᴇ ᴠᴀʟᴜᴇᴅɴᴇss ᴄᴏɴᴅɪᴛɪᴏɴ ғᴏʀ ᴛʜᴇ ᴅᴇ Bʀᴏɢʟɪᴇ ᴡᴀᴠᴇ ᴍᴜsᴛ ʙᴇ sᴀᴛɪsғɪᴇᴅ. Nᴏᴡ, ʀᴀᴅɪᴜs ᴏғ ᴏʀʙɪᴛ ɪɴ Bᴏʜʀ's ᴍᴏᴅᴇʟ ɪs ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ sϙᴜᴀʀᴇ ᴏғ ᴘʀɪɴᴄɪᴘᴀʟ ϙᴜᴀɴᴛᴜᴍ ɴᴜᴍʙᴇʀ, ɴ. (Lᴀᴍʙᴅᴀ)=ʜʀ/ʟ=(ʜʀ/(3ʜ))(2 ᴘɪ). Tʜɪs ɪs sᴀᴍᴇ ᴀs ʀᴇʟᴀᴛɪᴏɴ (3).
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