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The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within 50 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom is
  • a)
    50 kg ms–1
  • b)
    60 kg ms–1
  • c)
    80 × 10–26 kg ms–1
  • d)
    50 × 10–26 kg ms–1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The position of both an electron and a helium atom is known within 1.0...
The product of uncertainties in the position and the momentum of a sub atomic particle = h/4π . Since ∆x is same for electron and helium so ∆p must be same for both the particle 
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The position of both an electron and a helium atom is known within 1.0...
Kg·m/s. The uncertainty principle states that ΔxΔp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant (6.626 × 10^-34 J·s).

Given that the uncertainty in position (Δx) is 1.0 nm (1.0 × 10^-9 m) and the uncertainty in momentum (Δp) for the electron is 50 kg·m/s, we can calculate the minimum uncertainty in position and momentum using the uncertainty principle.

ΔxΔp ≥ h/4π

(1.0 × 10^-9 m)(50 kg·m/s) ≥ (6.626 × 10^-34 J·s)/(4π)

5.0 × 10^-8 kg·m^2/s ≥ (6.626 × 10^-34 J·s)/(4π)

Now, we can solve for the minimum uncertainty in position (Δx) and momentum (Δp) using the calculated value above.

Δx ≥ (5.0 × 10^-8 kg·m^2/s) / (50 kg·m/s)

Δx ≥ 1.0 × 10^-9 m

Δp ≥ (5.0 × 10^-8 kg·m^2/s) / (1.0 × 10^-9 m)

Δp ≥ 5.0 × 10^-1 kg·m/s

So, based on the uncertainty principle, the minimum uncertainty in the position of both the electron and helium atom is 1.0 nm, and the minimum uncertainty in the momentum of the electron is 5.0 × 10^-1 kg·m/s.
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The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within 50 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom isa)50 kg ms–1b)60 kg ms–1c)80 × 10–26 kg ms–1d)50 × 10–26 kg ms–1Correct answer is option 'D'. Can you explain this answer?
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The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within 50 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom isa)50 kg ms–1b)60 kg ms–1c)80 × 10–26 kg ms–1d)50 × 10–26 kg ms–1Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within 50 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom isa)50 kg ms–1b)60 kg ms–1c)80 × 10–26 kg ms–1d)50 × 10–26 kg ms–1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within 50 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom isa)50 kg ms–1b)60 kg ms–1c)80 × 10–26 kg ms–1d)50 × 10–26 kg ms–1Correct answer is option 'D'. Can you explain this answer?.
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