String Length and Frequency Relationships

The video tutorial explains how the length of a string on a string instrument varies inversely with its frequency. It demonstrates calculating the constant of proportionality using an 11-inch string with a frequency of 400 Hz. The tutorial then applies this constant to find the frequency of a 10-inch string, showing that as the string length decreases, the frequency increases.

What is the relationship between the length of a string and its frequency on a string instrument?

• Exponentially proportional

• Unrelated

• Inversely proportional

• Directly proportional

What is the frequency of an 11-inch string?

• 500 Hz

• 400 Hz

• 300 Hz

• 200 Hz

What unit is equivalent to cycles per second?

• Newton

• Joule

• Hertz

• Pascal

How do you calculate the constant of proportionality for the string's length and frequency?

• Multiply length by the inverse of frequency

• Multiply length by frequency

• Add length and frequency

• Divide length by frequency

What is the constant of proportionality if the length is 11 inches and frequency is 400 Hz?

• 4500 cycles inches per second

• 4000 cycles inches per second

• 4600 cycles inches per second

• 4400 cycles inches per second

What is the frequency of a 10-inch string using the constant of proportionality?

• 460 Hz

• 440 Hz

• 420 Hz

• 400 Hz

What happens to the frequency when the string length decreases from 11 inches to 10 inches?

• It decreases by 40 Hz

• It doubles

• It increases by 40 Hz

• It remains the same

What is the frequency change when the string length is reduced by 1 inch?

• 30 Hz

• 20 Hz

• 10 Hz

• 40 Hz

What is the frequency of a string when its length is 11 inches?

• 480 cycles per second

• 440 cycles per second

• 400 cycles per second

• 500 cycles per second

What is the effect on frequency when the string length is shortened?

• Frequency becomes zero

• Frequency decreases

• Frequency increases

• Frequency remains constant