Home
Class 11
CHEMISTRY
The uncertainty in the determination of ...

The uncertainty in the determination of velocity of a dust particle (of mass 0.1 mg) is `4.5xx10^(-20)m*s^(-1)`. Calculate the least uncertainty in its position.

Text Solution

Verified by Experts

`Deltax xxDeltap gt (h)/(4pi) or, Deltax xx mDeltav gt (h)/(4pi) or, Deltax gt (h)/(4pimxx Deltav)`
Least uncertainty in determining its position,
`Deltax=(h)/(4pimxxDeltav)=(6.626xx10^(-34))/(4xx3.14xx(0.1xx10^(-6))xx(4.5xx10^(-20)))`
`=1.172xx10^(-8)m`
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise WARM UP EXERCISE|157 Videos

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise QUESTION ANSWER ZONE FOR BOARD EXAMINATION (VERY SHORT ANSWER TYPE)|28 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    CHHAYA PUBLICATION|Exercise PRACTICE SET|10 Videos

Similar Questions

Explore conceptually related problems

The uncertainty in position and velocity of a particle are 1.0xx10^(-5) m and 4.28xx10^(-20)m*s^(-1) respectively. Calculate the mass of the particle.

The uncertainties in posiiton and velocity of a particle are 10^(-10) m and 5.27xx10^(-24)m*s^(-1) respectively. Calculate the mass of the particle.

The uncertainity in the position of a moving bullet of mass 10 g is 10^(-5) m.Calculate the uncertainty in its velocity .

A proton is accelerated to a velocity of one tenth times that of the velocity of light. If the uncertainty in the determination of its velocity be +-0.5% , calculate the uncertainty in locating its position. [mass of proton =1.675xx10^(-27)kg ].

If the uncertainty of position of a particle of mass 1xx10^-4 gm be 1.56xx 16^-3 cm then find the uncertainty of its velocity?

Calculate the product of uncertainties in the position and velocity of an electron of mass 9.1xx10^(-31)kg , according to Heisenberg's uncertainty principle.

Calculate the uncertainty in the position of a particle when the uncertainty in momentum is 10^(-3)g cm/s

The uncertainty in momentum of an electron is 1xx10^(-5) kgms^(-1) . The uncertainty in its position will be (h= 6.62xx10^(-34) Js)

Calculate the uncertainty in the position of an electron if uncertainty in the measurement of it's momentum be 1.0xx10^(-5)kg*m*s^(-1) .