The position of both, an electron and a helium atom is known within 1.0 nm. Further the momentum of the…

The position of both, an electron and a helium atom is known within 1.0 nm. Further the momentum of the electron is known within 5.0× 10 26   kgms 1 . The minimum uncertainty in the measurement of the momentum of the helium atom is
  1. 6.0×10-26  kgms-1
  2. 60 kgms-1
  3. 50 kgms-1
  4. 5.0×10-26 kgms-1

Solution

According to uncertainty principle the product of uncertainty in position and uncertainty in momentum is constant for a particle.

i.e., Δx×Δp=h4π

As Δx=1.0 nm for both electron and helium atom, so Δp is also same for both the particle.

Thus, uncertainty in momentum of the helium atom is also 5.0×10-26kgms-1 . ,

Asked in: JEE-TOPICTESTS-CHEMISTRY

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