Question

.. If the uncertainty in velocities
of two particles A and B with mass
1.0 x 10-27 kg and 1.0 x 10-31 kg
respectively is the same, the ratio of
uncertainty in the positions of A and
B is :
(1) 1000 : 1
(2) 10,000 : 1
(4)1 : 10,000​

Answer 1

Answer:

ΔxmΔv=

4π

h

Δx

A

m

A

Δv

A

=Δx

B

m

B

Δv

B

But,

Δv

A

=Δv

B

Hence,

Δx

A

m

A

=Δx

B

m

B

Δx

A

×1.0×10

−27

kg=Δx

B

×1.0×10

−31

kg

Δx

B

Δx

A

=

1.0×10

−27

kg

1.0×10

−31

kg

=

10000

1