Home
Class 11
CHEMISTRY
The uncertainty in position and velocity...

The uncertainty in position and velocity of the particle are `0.1 nm` and `5.27 xx 10^-27 ms^-1` respectively. Then the mass of the particle is : `(h = 6.625 xx 10^-34 J s)`.

A

200 g

B

300 g

C

100 g

D

1000 g

Text Solution

Verified by Experts

The correct Answer is:
C
( c) `Delta x = 0.1 xx 10^-9 m`
`Delta V = 5.27 xx 10^-27 ms^-1`
`:. Delta x xx m Delta V = (h)/(4 pi)`
:. `0.1 xx 10^-9 xx m xx 5.27 xx 10^-27 = 0.527 xx 10^-34`
`:. m = 0.1 kg = 100 g`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    A2Z|Exercise Quantum Numbers, Orbitial'S Shape, Electronic Configuration|91 Videos

  • ATOMIC STRUCTURE

    A2Z|Exercise Section B - Assertion Reasoning|34 Videos

  • ATOMIC STRUCTURE

    A2Z|Exercise Hydrogen Spectrum|35 Videos

  • CHEMICAL BONDING AND MOLECULAR STRUCTURE

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

The uncertainty in position and velocity of a particle are: 10^(-10)m and 5.27 xx 10^(-24) m sec^(-1) respectively. Calculate the mass of the particle (h = 6.625 xx 10^(-34) J sec)

The uncertainty in the position and velocity of a particle are 10^(-10) m and 5.27 xx 10^(-24) ms^(-1) respectively. Calculate the mass of the particle.

Knowledge Check

  • The uncertainty in position and velocity of the particle are 0.2mm and 10.54xx10^(-27)ms^(-1) respectively then the mass of the particle is : ( h=6.625xx10^(-34)Js)

    A
    `48.86g`
    B
    `30.86g`
    C
    `24.86gm`
    D
    `100g`

  • The uncertainty in the velocity of a particle of mass 6.626 xx 10^(-31) kg is 1 xx 10^6 ms^(-1) . What is the uncertainty in its position (in nm) ? (h = 6.626 xx 10^(-34) Js)

    A
    `(1/(2pi))`
    B
    `((2.5)/(pi))`
    C
    `(4/(pi))`
    D
    `(1/(4pi))`

  • The minimum values of uncertainties involved in the determination of both the position and velocity of a particle are respectively 1xx10^(-10) m and 1xx10^(-10)m s^(-1) , Then, the mass (in kg) of the particle is

    A
    `5.270xx10^(-15)`
    B
    `5.270xx10^(-20)`
    C
    `5.270xx10^(-10)`
    D
    `5.270xx10^(-14)`

    • Similar Questions

    Explore conceptually related problems

    The uncertainties in the position and velocity of a particle are 10^(-10)m and 5.27 xx 10^(-24) ms^(-1) respectively. Calculate the mass of the particle (h= 6.625 xx 10^(-24) J.s)

    The uncertainty in position and velocity of the particle are 0.1 nm and 5.27xx10^(-24) ms^(-1) respectively then find the approximate integral mass of the particle (in g ) . (h=6.625xx10^(-34) Js)

    The uncertainity in position and velocity of a particle are 10^(-11)m and 5.27times10^(-24)m//sec respectively.What is the minimum mass of the particle in kg .

    (i)The uncertainties in the potisition and velocity of particle are 3.14 xx 10^(-10)m and 5.27 xx 10^(-24) m//s respectively . Calculate mass of the particle. (ii)Find the numberof waves made by a Bohr electron in one complete revolution in the 3rd Bohr orbit.

    The uncertainties in the velocities of two particles A and B are 0.05 and 0.02ms^-1 respectively. The mass of B is five times to that of mass A.What is the ratio of uncertainties (Deltax_A/Deltax_B) in their position

    Home
    Profile