For an atom having atomic number z.
Match the following:

$\begin{matrix} C o l u m n - I & C o l u m n - I I (A) R a d i u s o f o r b i t & (p) i s p r o p o r t i o n a l t o z (B) C u r r e n t a s s o c i a t e d d u e t o o r b i t a l m o t i o n o f e l e c t r o n & (q) i s i n v e r s e l y p r o p o r t i o n a l t o z . (C) M a g n e t i c f i e l d a t t h e c e n t r e d u e t o o r b i t a l m o t i o n o f e l e c t r o n & (r) i s p r o p o r t i o n a l t o z^{2} . (D) V e l o c i t y o f a n e l e c t r o n & (s) i s p r o p o r t i o n a l t o z^{3} \end{matrix}$

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Solution

A) $\to$ (q) ; (B) $\to$ (r) ;
(C) $\to$ (s) ; (D) $\to$ (p)

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Similar questions

Magnetic ﬁeld at the centre (at nucleus) of the hydrogen like atoms (atomic number = Z) due to the motion of electron in nth orbit is proportional to

= Z

n^{t h}

(

n

Z

)

Column I	Column II
$(A)$ Due to revolving electron, the magnetic field produced at its centre is proportional to	$(p) n^{- 5}$
$(B)$ Magnetic moment of a revolving electron is proportional to	$(q) n$
$(C)$ De-Broglie wavelength of a revolving electron is proportional to	$(r) Z^{3}$
$(D)$ Areal velocity of a revolving electron about the nucleus is proportional to	$(s)$ Independent of $Z$
	$(t) Z^{- 1}$

n =

n^{t h}

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