Calculate the wave number corresponding to the most energetic spectral line

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The discussion focuses on calculating the wave number for the most energetic spectral line in the Lyman series of the hydrogen atom. A participant initially calculated the wave number using Rydberg's constant but received feedback that the answer was incorrect. The issue highlighted is the discrepancy in significant figures, as the Rydberg constant was provided with three significant figures, while the calculated answer had eight. This suggests that the precision of the final answer must match the significant figures of the constants used in the calculation. The conversation emphasizes the importance of maintaining consistent significant figures in scientific calculations.
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Calculate the wave number corresponding to the most energetic spectral line in the Lyman series for the hydrogen atom.
Express your answer to six significant figures and include the appropriate units.

I use the formula:
http://i.imgur.com/YgLVY.jpg

Because the question asks the most energetic one, so
[wave number = Rydberg's constant/h/c]
I got the answer10974214m-1
But the answer is wrong.
What's wrong with my calculation?
 
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What makes you think the answer is wrong?
 
Borek said:
What makes you think the answer is wrong?

I did it in MasteringChemistry. It says the answer is wrong.
 
If you are given Rydberg's constant with three significant figures, you can't give the answer with eight.

Not that I am sure that's the problem, but it surely can be one.
 

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