   Chapter 34, Problem 20PE

Chapter
Section
Textbook Problem

(a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a corresponding time interval of (b) Compare this energy with the unification−of−forces energy and discuss why they are similar.

To determine

(a)

The uncertainty in energy for the given time interval using Heisenberg uncertainty principle.

Explanation

Given:

Uncertainty in time interval, Δt=1043s

Plank's constant, h=6.62×1034J-s

Formula used:

Formula to calculate the uncertainty in energy for the given time interval using Heisenberg uncertainty principle is,

ΔE=h4πΔt ...... (I)

Where,

• ΔE is uncertainty in energy.
• h is Plank's constant.
• Δt is uncertainty in time interval.

Calculation:

Substitute 6.62×1034J-s for h and 1043s for Δt in equation (I).

ΔE=6

To determine

(b)

The relation between the uncertainty in energy and unification of force energy whether they are similar or not.

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