The two electrons having kinetic energies 16 eV and 49 eV respectively What is the ratio of theirwave lengths - Chemistry - Classification of Elements and Periodicity in Properties

Question

T h e   t w o   e l e c t r o n s   h a v i n g
  k i n e t i c   e n e r g i e s   16   e V
  a n d   49   e V   r e s p e c t i v e l y
  W h a t   i s   t h e   r a t i o   o f
  t h e i r w a v e   l e n g t h s ? ( 1 ) 7 : 4 ( 2 ) 4
: 7 ( 3 ) 3 : 4 ( 4 ) 4 : 3

Ashish Khanna · Accepted Answer

Dear Student,

According to the de-broglie wavelength:
λ = h2m(K E)λ1λ2= K E2K
E1    =4916    = 74
So, the ratio of wavelength λ1 :
λ2 = 7:4

Regards

T h e t w o e l e c t r o n s h a v i n g k i n e t i c e n e r g i e s 16 e V a n d 49 e V r e s p e c t i v e l y . W h a t i s t h e r a t i o o f t h e i r w a v e l e n g t h s ? ( 1 ) 7 : 4 ( 2 ) 4 : 7 ( 3 ) 3 : 4 ( 4 ) 4 : 3

$T h e t w o e l e c t r o n s h a v i n g k i n e t i c e n e r g i e s 16 e V a n d 49 e V r e s p e c t i v e l y . W h a t i s t h e r a t i o o f t h e i r w a v e l e n g t h s ? (1) 7 : 4 (2) 4 : 7 (3) 3 : 4 (4) 4 : 3$