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

Options

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

Answer

A

Explanation

According to Heisenberg's uncertainty principle,
Mass of the particle `(m)=(h)/(4pixxDeltaVxxDeltaV)`
`=((6.626xx10^(-34)kg m^(2)s^(-1)))/(4xx3.143xx(10^(-10)ms^(-1))xx(10^(-10)m))`
`=5.27xx10^(15)kg`