Home
Class 11
CHEMISTRY
Calculate the uncertainty in velocity of...

Calculate the uncertainty in velocity of an oxygen molecule `(5.3xx10^(-26) kg)`, trapped within a sac of average diameter `5xx10^(-10)` m.

A

3.11 m/sec

B

2.65 m/sec

C

4.31 m/sec

D

1.99 m/sec

Text Solution

Verified by Experts

The correct Answer is:
D
Uncertainity in position `Delta x=` Diameter of sac `=5xx10^(-10)m`
`Delta x xx Delta upsilon ge (h)/(4pi m), Delta upsilon ge (6.626 xx 10^(-34))/(4xx3.14 xx 5.3 xx 10^(-26)xx5xx10^(-10)) ~~1.99 m//sec`
Promotional Banner

Similar Questions

Explore conceptually related problems

An electron is moving with a velocity of 2.5 xx 10^(6) ms^(-1) . If the uncertainty in its velocity is 0.1% , calculate the uncertainty in its position. (Plank's constant, h = 6.626 xx 10^(-34) Js),( Mass of the electron = 9.1 xx 10^(-31) kg.)

Calculate the weight of 6.022 xx 10^(23) molecules of CaCO_(3)

Calculate the time taken by light to travel 1 astronomical unit (au =1.5xx10^(11) m)

Calculate the time taken by light to travel 1 astronomial unit (au 1=1.5xx10^(11)m )

Calculate the uncertainty in momentum of an electron if uncertainty in its. position is '1A ^circ (10^(-10)m)'

Calculate the pH of a solution having H^+ ion concentration 3.8xx10^-5m .

The uncertainty in the momentum of an electron is '1 xx 10^(-5) kg ms^(-1)'. The uncertainty in its position will be '(h=6.62 xx 10^(-34) kg m s^(-1))'

Calculate the uncertainty in the determination of velocity of a ball of mass 200 g. If the uncertainty in the determination of position is 1Å. [h= 6.626 xx 10^(-34) ]

The uncertainty in the position and velocity of a particle are 10^-2 m and 5.27xx10^-24 ms^-1 ) Calculate mass of the particle. (h=6.626xx10^-34 kg m^2 s^-1)

What is the uncertainty in position of an electron if the uncertainty in its velocity is 5.7 xx 10^(5) m/s ?