
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An open organ pipe has its first overtone at \( N_{1} = 512 \) Hz when it is blown with air (speed of sound \( V = 340 \frac{\mathrm{m}}{\mathrm{sec}} \)). What will be the fundamental frequency of this pipe when it is blown with hydrogen, in which the speed of sound is \( V' = 1200 \frac{\mathrm{m}}{\mathrm{sec}} \)?

Present the answer in LaTex format: \boxed{Your answer}
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