Problem 28b

Given information

To find:- determine what happens to the pitch of a note ,

(i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates ,

(ii) when the tension is increased ny turning a tuning peg, 

(iii)  when the linear density is increased by switching to another string.

Step-by-step explanation

(i) The sign of is negative , so as L decreases the pitch should increase. 

(ii) The sign of is positive , so as T increases the pitch should increase.

(iii) The sign is negative , so as ρ increase the pitch should decreases.