An air-filled pipe is found to have successive harmonics at 435 hz , 725 hz , and 1015 hz . it is unknown whether harmonics below 435 hz and above 1015 hz exist in the pipe. what is the length of the pipe?

L = 1.706 m

Explanation:

Three successive harmonics in the pipe is given as

now if we take the ratio of all frequency

then we have

f1 : f2 : f3 = 435 : 725 : 1015 = 3 : 5 : 7

since the ratio of consecutive frequency is in ratio of odd numbers so this must be 3rd harmonics, 5th harmonics and 7 harmonics

And as per the formula we have

seeing the graph would

blue light is scattered in different directions by the tiny molecules of air. blue is scattered more than other colours because it has a shorter distance to travel which results in smaller waves. this is why we see a blue sky most of the time.