AP EAMCET202124 Aug 2021Morning ShiftChemistryStructure of AtomActual
If a proton is accelerated to a velocity of 3 10^7 ~ms ⁻¹ which is accurate up to 0.5 % , then the uncertainty in its position will be [mass of proton =1.66 10⁻²⁷ ~kg , .h=6.6 10⁻³⁴ Js ]
Options
- A1.55 10⁻¹² ~m
- B3.24 10⁻¹³ ~m
- C1.58 10⁻¹³ ~m
- D2.11 10⁻¹³ ~m
Correct answer
D. 2.11 10⁻¹³ ~m
Step-by-step solution
aligned v & = 0.5 100 3 10^7 ~ms ⁻¹ & =1.5 10^5 ~ms ⁻¹ x & = h 4 m v & = 6.62 10⁻³⁴ ~kg ~m ^2 ~s ⁻¹ 4 3.14 1.66 10⁻²⁷ ~kg 1.5 10^5 ~ms ⁻¹ & =2.11 10⁻¹³ ~m . aligned