
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
The pressure generated by the vibration of sound through the air is called sound pressure, abbreviated as sound pressure, and its unit is Pascal (Pa). The effective value of sound pressure is taken logarithmically to represent the strength of a sound, which is called the sound pressure level. The sound pressure level is denoted by the symbol $S_{PL}$ and is measured in decibels (dB). The formula is: $S_{PL}$ (sound pressure level) = $20 \log \frac{p_e}{p_{ref}}$ (dB), where $p_e$ is the effective value of the sound pressure being measured and $p_{ref}$ is the reference sound pressure. In air, the reference sound pressure $p_{ref}$ is generally taken as $2 \times 10^{-5}$ Pa. Based on the above information, answer the following questions:
(1) If the effective value of sound pressure during a quiet conversation between two people is $p_e$ = 0.002 Pa, find their sound pressure level.
(2) It is known that during a thematic class meeting, the highest sound pressure level in the classroom reached 90 dB. Find the effective sound pressure in the classroom at that time.

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