AIIMS2010ChemistryStructure of Atom
Assume that you are travelling at a speed of 90 ~km / h in a small car with a mass of 1050 ~kg . If the uncertainty in the velocity of the car is 1 %( v=0.9 ~km / h ) , what is the uncertainty (in meters) in the position of the car ?
Options
- Ax 1 10⁻³⁵ ~m
- Bx 2 10⁻³⁷ ~m
- Cx 2 10⁻³⁶ ~m
- Dx 4 10⁻³⁸ ~m
Correct answer
B. x 2 10⁻³⁷ ~m
Step-by-step solution
aligned & x h (4 )(m v) & x 6.626 10⁻³⁴ (4 3.14 1050)(0.9) ( 1 3600 ) ( 1000 1 ) & x 2 10⁻³⁷ ~m aligned The uncertainty in the position of the car is far smaller than the uncertainty in the position of an electron in a hydrogen atom (3 10⁻¹⁰ ~m ) and far too small a value to have any measurable consequences.