Question

I do not understand how to solve this problem, any help would be appreciated. Thank you!

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 turtle with a mass of 800. 9, 20. сm long, moving at 2.7 cm/s. quantum A human with a mass of 77. kg, 2.4 m high, moving at 2.9 m/s. classical quantum classical An atom with a mass of 1.0 x 10-26 kg, 86. pm wide, moving at 222. m/s. quantum classical A grain of sand with a mass of 225 mg, 665. pm wide, moving at 10.00 mm/s. quantum x 5 ?

Answer 1

Heisenberg uncertainty Principle is applied over here to determine the given things are classial or quantum Heisenberg Principle » You can't determine Precesily and accurately the change in Position & change in momentum of a microscopic object Ax. Ap 7 h h = 6.62607 X103 Jst (given) DX = Ool cm/8 I let you have messured - the vira in position accurately) that DX m DV = h . olemis) 477 AV - h = 6.626X163 X1000 U Tm Dx 4 x3, 14X 800 x Oil = 6.626 X 106 4X3,14 x 8XOlx 10 = 0.6594 x 10 y = 6594 m/s = 659400 Cola change in velocity quite High we can't measure it accurately no lassical Quantum (because you have measured S a Axcarcorrectly but at xame time Av can't Scanne By

be measured accurately) ® SX = 0,1 m m=77kg Av= h = 6.626x103 - 4T max 4x3, 14X 77X01 = 0,0685X102. 68.5 mis A & +6 8.5 erros is very high to a velocity) Eas compare it's velocity) Quantum m= 1026 kg length=86 pm DX-011pm = 10 Bm Dr= h = 6.626 X103 4T max 4X3.148 10 26x 1013 - 6.686 X 10.99 X 100 48 3.14 : 015275 x 10 Change ins nery high can't measured a very high so quantum - c MINIMAAL = 1 = 6.628 x 10 @ m= 225 mg wide= 665 4m 8x = 0.14m -0.1x100m non = 1x107m 4X3114X 225 X 107 = 0.0023 x loʻxlo7 utomaa CS Scanned witAV = 0.0023 x 1013 23 x 10'e quite High quantum CamScanner