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if planck,s constant were smaller than it is ,would quantum phenomena be more or less conspicuous than they are now?

if planck,s constant were smaller than it is ,would quantum phenomena be more or less conspicuous than they are now?

Grade:12th pass

1 Answers

Arun
25763 Points
2 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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