if planck,s constant were smaller than it is ,would quantum phenomena be more or less conspicuous than they are now?
User , 6 Years ago
Grade 12th pass
1 Answers
Arun
Last Activity: 6 Years ago
I don’t think so. No complications, just consider the uncertainty principle. It says that the product of the uncertainties in position and momenta is equal to (roughly) the Planck’s constant. Let’s take a real life example, a ball traveling at 10 m/s. Let the uncertainty in speed be 10^-10 m/s. Then the uncertainly in position is actually a way smaller number, around 10^-24 m due to the Planck’s constant being as small as 6.6x10^-34. Our eyes could never detect so small uncertainties.
But, if the Planck’s constant was as big as 0.01, then the uncertainty in position is 100000000 m, which is a quantum world for sure since you can never see that far! Hence, the conclusion is opposite to what you actually expected in your question!
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