Question

Uncertainty in position of an electron (mass = 9.1 × 10⁻²⁸ g)
moving with a velocity of 3 × 10⁴ cm/s accurate upto 0.001% will be
(use h/4????) in uncertainty expression where h = 6.626 ×10⁻²⁷ erg-second)
(a) 1.93 cm (b) 3.84 cm
(c) 5.76 cm (d) 7.68 cm

Answer 1

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT

And surely mark me BRAINLIEST

OPTION IS A

Answer 2

Uncertainty in position of an electron is 1.932 cm

option (a) is correct.

•Heisenberg uncertainty principle :

• ∆x∆p ≥ h/4π or ∆x.m∆v ≥ h/4π

• ∆x.∆v ≥ h/4πm

• mass = 9.1 × 10⁻²⁸ g

• ∆v = (3×10⁴×0.001)/100 = 0.3 cm/s

• h = 6.626 ×10⁻²⁷ erg-second

• Using Heisenberg uncertainty v

principle

•∆x.0.3 = 6.626 ×10⁻²⁷/4π.9.1 × 10⁻²⁸

• ∆x = 66.26/12.56 × 9.1 × 0.3

• ∆x = 1.932 cm