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

Question

Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10 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? object quantum or classical? classical An atom with a mass of 1.0 x 1026 kg, 190. pm wide, moving at 345. m/s. quantum classical A virus with a mass of 5.3 x 1017 g, 170. nm wide, moving at 1.80 ?m/s. quantunm classical An airplane with a mass of 1.21 x 104 kg, 17.0 m long, moving at 2400. km/h. quantum classical A paper airplane with a mass of 4.2 9, 155. mm long, moving at 2.6 m/s. quantum

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) 1*10^-26kg

WL = ( 6.62607*10^9) /((1*10^-26) 345)

WL = 1.92*10^33

this will be classical

B)

WL = ( 6.62607*10^9) /((5.3*10^-17)(1.8*10^-6))

WL = 6.95*10^31 m

classical

c)

m = 1.21*10^4 kg

v = 2400 m/s

WL = ( 6.62607*10^9) /((1.21*10^4)(2400))

WL = 2228.17 m

this will be classical

d)

m = 4.2 g = 4.2*10^-3kg

v = 2.6 m/s

WL = ( 6.62607*10^9) /((4.2*10^-3)(2.6))

WL= 6.067*10^11 m

this must be classical

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---