Bohr radius (26-22)

Question 1 of 5

Question

Bohr radius

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Question

Planck’s constant divided by $2\pi$

{"title":"Bohr radius","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,69,26,100\"}]"} {"title":"Planck’s constant divided by 2 pi","description":"Correct!","type":"correct","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"173,20,204,70\"}]"} {"title":"Magnitude of the electron charge","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"217,108,243,141\"}]"} {"title":"Coulomb constant","description":"Incorrect","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"182,90,213,143\"}]"} {"title":"Mass of the electron","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"114,104,163,140\"}]"}

Review

Notice that both $n$ and $Z$ in Equation 26-21 are dimensionless. Because $r_n$ is a distance, all of the other terms on the right-hand side, taken as they appear in the equation, must have dimensions of distance as well. This distance, usually written as $a_0$ and called the Bohr radius, is