AP EAMCET201923 Apr 2019Morning ShiftChemistryStructure of AtomActual
What is the mass of a particle with a wavelength of (3.313 Å ) moving with a speed of (2.0 10^8 ~ms ⁻¹ ) ?
Options
- A(1.0 10⁻²⁸ ~kg )
- B(2.0 10⁻³² ~kg )
- C(1.0 10⁻³² ~kg )
- D(2.0 10⁻²⁸ ~kg )
Correct answer
C. (1.0 10⁻³² ~kg )
Step-by-step solution
According to de-Broglie relation: ( = h m v ) where, (h= ) Planck's constant (=6.626 10⁻³⁴ Js ) (v= ) speed of moving particle (m= ) mass of moving particle ( = ) wavelength of particle. Thus, (m= h v ) Given, Speed (velocity) of moving particle ((v)=2 10^8 ~m / s ) Wavelength of moving particle (( )=3.313 Å ) (=3313 10⁻¹⁰ ~m ) ( aligned m & = 6.626 10⁻³⁴ 3.313 2 10^8 10⁻¹⁰ m & =1 10⁻³² ~kg aligned ) Hence, option (c) is correct.