the unicertanties in the velocity of two particles the A and B are 0.05 and 0.02 m-2 respectively. the mass of B is five times to that of the mass A. the ratio of unicertanties in the positive is
Answers
Answered by
1
Answer:
According to Heisenberg's uncertainty principle,
if ∆x is then uncertainty in the determination of the position and ∆p is the uncertainty in the determination of momentum of a very small moving particle then,
∆x∆p=
4π
h
where h is Planck's constant the equation can also be expressed as,
∆x∆v=
4πm
h
, because ∆p=m∆v
As per the given condition,
m
B
=5m
A
, ∆v
A
=0.05m(sec)
−1
, ∆v
B
=0.02m(sec)
−1
Therefore,
∆x
B
∆x
A
=
∆v
A
m
A
∆v
B
m
B
Substituting the values,
∆x
B
∆x
A
=2
Similar questions