Which statement is a correct consequence of the uncertainly principle?

a

A particle’s kinetic energy cannot be measured accurately at any time

b

Both momemtum and energy of a particle can be known with absolute certainly

c

It is possible to measure exactly both the position and momentum of a particle at the same time

d

The complete knowledge of the position of a particle implies the complete ignorance of its energy

e

The uncertainty in our knowledge of energy and the duration taken to measure it, are each less than Planck’s constant.

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Correct Option
d

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Discussions (7)

AyanfeOba.Dudu
11 months ago

The correct answer is: D. The complete knowledge of the position of a particle implies the complete ignorance of its energy

Explanation:
This question relates to Heisenberg's Uncertainty Principle, which states that:

It is impossible to simultaneously know both the exact position and exact momentum (or energy and time) of a particle with absolute precision.

Let’s briefly go through the options:

A. Incorrect — Kinetic energy can be measured accurately, but not along with precise position.

B. Incorrect — The Uncertainty Principle forbids knowing both momentum and energy with certainty at the same time.

C. Incorrect — This violates the Uncertainty Principle.

D. ✅ Correct — Knowing the exact position implies maximum uncertainty in momentum, which relates to energy. So complete knowledge of position means we cannot know the energy exactly.

E. Incorrect — The product of uncertainties in energy and time is greater than or equal to Planck’s constant divided by 4π, not each being less.

So the best answer is:

👉 D. The complete knowledge of the position of a particle implies the complete ignorance of its energy.

Beloved_Blossom
2 years ago

The uncertainty principle states that we can't know with certainty the position and momentum of a body of an electron in an orbital simultaneously

sghsjs
10 months ago

The answer is D

@myschool
Answer is D
ref: secondary School physics page 336

leolex234
2 years ago

Which textbook is ut New school

leolex234
2 years ago

Is it New school physics

AyanfeOba.Dudu
1 year ago

The correct answer is: D. The complete knowledge of the position of a particle implies the complete ignorance of its energy

Explanation:
This question relates to Heisenberg's Uncertainty Principle, which states that:

It is impossible to simultaneously know both the exact position and exact momentum (or energy and time) of a particle with absolute precision.

Let’s briefly go through the options:

A. Incorrect — Kinetic energy can be measured accurately, but not along with precise position.

B. Incorrect — The Uncertainty Principle forbids knowing both momentum and energy with certainty at the same time.

C. Incorrect — This violates the Uncertainty Principle.

D. ✅ Correct — Knowing the exact position implies maximum uncertainty in momentum, which relates to energy. So complete knowledge of position means we cannot know the energy exactly.

E. Incorrect — The product of uncertainties in energy and time is greater than or equal to Planck’s constant divided by 4π, not each being less.

So the best answer is:

👉 D. The complete knowledge of the position of a particle implies the complete ignorance of its energy.

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