KCET2019ChemistryStructure of Atom
Two particles (A ) and (B ) are in motion. If the wavelength associated with particle (A ) is (5 10⁻⁸ ~m ). Calculated the wavelength (in Ã…) associated with particle B if its momentum is half of ( A ).
Options
- A( 1.25 10⁻⁷ ~m )
- B( 1.0 10⁻⁷ ~m )
- C( 1.0 10⁻⁸ ~m )
- D( 2.5 10⁻⁸ ~m )
Correct answer
B. ( 1.0 10⁻⁷ ~m )
Step-by-step solution
By de Broglie equation, _ A =h / P_ A And _ B =h / P_ B _ A / _ B =P_ A / P_ B P_ B =1 / 2 P_ A ( Given ) _ A / _ B =1 / 2 P_ A / P_ A =P_ A _ B =2 _ A _ B =2 5 10⁻⁸ ~m =10⁻⁷ ~m