Imagine an alternate universe where the value of the Planck constant is 6.62607X

Question

Imagine an alternate universe where the value of the Planck constant is 6.62607X10^-9·Js

In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics?

E Haven ! EverFi Educati - . A ALES . Learn-Corinne e The Lead acid 5torage B G kme:0 m/s-Google 5e G mm to m-Google Sear. x x × x ELECTRONIC STRUCTURE Corinne Understanding the meaning of a de Broglie wavelength Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10 J·s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? classical A bacterium with a mass of 8.0 pg, 6.0 m long, moving at 9.00 m/s Ar quantum classical A human with a mass of 39. kg, 1.5 m high, moving at 2.7 m/s. quantum classical A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide moving at 22. m/s quantum classical A grain of sand with a mass of 255 mg, 525, m wide, moving at 8.00 mm/s. quantum Explanation Check :24 PM 10/25/2017 Inbox Gmail 2-M Paper HW 6.pdf an

Explanation / Answer

h = 6.62607*10^9 Js

then... apply debroglie equation

The Equation is given by

= h/(mv)

where

= Wavelength

h = Planck Constant = 6.62607*10^9 Js (asjusted)

m = mass in kg

v = velocity in m/s

Now, substitute all data

a)

bacteria

8 pg = 8*10^-15 kg

WL = ( 6.62607*10^9) /((8*10^-15)(9*10^-6))

WL = 9.20*10^28

this will be classical

B)

WL = ( 6.62607*10^9) /((39)(2.7))

WL = 62925641.0256 m

classical

c)

m = 1.2*10^-21 g = 1.2*10^-24 kg

v = 22 m/s

WL = ( 6.62607*10^9) /((1.2*10^-24)(22))

WL = 2.50*10^32 m

this will be classical

d)

m = 255 mg = 255*10^-6 kg

v = 8*10^-3 m/s

WL = ( 6.62607*10^9) /((255*10^-6)(8*10^-3))

WL= 3.24*10^15 m

this must be classical

Conclusoin

since the planck cconstan decreases; most of phenomena will be modelled with classical equations

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