Understanding Plank's Constant and Its Application in Energy Calculations

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The discussion revolves around a calculation involving Planck's constant and energy equations. The user is attempting to calculate energy (E) using the formula E = (l(l+1)(h-bar^2))/2I but is confused about their results. They calculated the moment of inertia (I) incorrectly due to inconsistent unit usage, leading to an incorrect energy value. The key issue highlighted is the importance of using SI units consistently to ensure accurate results in physics calculations. Proper unit conversion is essential for obtaining the correct energy value in Joules.
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What am I doing wrong in this problem? Please explain to me what I am doing wrong. Thanks
h-bar is plank's constant.

E = (l(l+1)(h-bar^2))/2I (l = 1)

I = Mh*R^2 Mh = 1.67x10^(-24)g R = 161x10^(-10) cm

For I i got 4.33x10^-40

So when i plugged in I for the top equation, i got E = (1(1+1)(1.11x10^(-68)))/8.66x10^-40
which equaled to : 2.56351... x 10^-29
But I found out from a friend that E actually equals to -2.18x10^(-18) Joules

What am I doing wrong?
 
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It would help if you told us what the actual problem is. All I see is you plugging random numbers into random equations.

Edit: Okay, it makes more sense with a bit of formatting.
HoboRobo said:
h-bar is plank's constant.

E = (l(l+1)(h-bar^2))/2I (l = 1)

I = Mh*R^2
Mh = 1.67x10^(-24)g
R = 161x10^(-10) cm

For I i got 4.33x10^-40

So when i plugged in I for the top equation, i got E = (1(1+1)(1.11x10^(-68)))/8.66x10^-40
which equaled to : 2.56351... x 10^-29
But I found out from a friend that E actually equals to -2.18x10^(-18) Joules

What am I doing wrong?
You need to keep track of your units. You're not using SI units everywhere, so your answer isn't going to come out in Joules.
 

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