A piano with which of the following properties would deliver a note with the lowest pitch ?

Options

A. 100 cm speaking length, 800 N tension
B. 120 cm speaking length , 700 N tension
C. 100 cm speaking length , 700 N tension
D. 120 cm speaking length , 800 N tension

Explanation

To determine which piano would deliver a note with the lowest pitch, we need to analyze the relationship between the properties of the piano strings and the frequency of the notes they produce. The pitch of a note is directly related to its frequency, and a lower frequency corresponds to a lower pitch.

### Step-by-Step Solution:

1. **Understand the Relationship Between Frequency and Properties**:
The frequency \( f \) of a vibrating string is given by the formula:
\[
f = \frac{n}{2L} \sqrt{\frac{T}{\mu}}
...