Optics Answers

An air column in a glass tube is open at one end and closed at the other by a movable piston, and a 384Hz tuning fork is held at the open end. Resonance is heard when the piston is at a distance d1 = 22.8cm from the open end and again when it is at a distance d2 = 68.3cm from the open end. 

What speed of sound is implied by these data?

Determine the end correction

How far from the open end will the piston be when the next resonance is heard?

The fundamental frequency of an open organ pipe is 261.6Hz. The third resonance of a closed organ pipe has the same frequency. If the speed of sound in air is 340m/s, what is the length of the pipes? 

 If a human ear canal  can be  thought of as resembling an organ pipe,  closed at one end  that resonates  at a fundamental frequency of 3000  Hertz. what is the length of the canal?

High frequency sound can be used to produce  standing wave vibrations in a wine glass. The glass shatters when the wave is  observed to have four nodes and 4 anti nodes equally spaced around the 20.0 cm long  glass.   If transverse waves moves around the glass at 900m/s, with what frequency will an opera singer to shatter the glass?

In the arrangement, an object of mass m =  5.00kg hangs from a cord around a light pulley.   the length of the cord between the point p and the pulley is L = 2.00 meters.

(a) when the vibrator is set to a  frequency of 150Hz,  a standing wave with 6 Loops is formed. What must be the linear mass density of the cord?

(b) How many Loops if any will result if m is changed to 45.0 kilograms?

A certain vibrating string on a piano has a length of 74 cm and forms a standing wave having two antinodes.  

(a) Which harmonic does this wave represent?

(b)  Determine the wavelength of this wave

(c) how many nodes are there if 20.0 Newton find the fundamental frequency I'm the next three frequencies that could cause standing wave patterns on the street

A  string that is 30 cm long and has a mass per unit length of 9.00 3 1 023 kilograms per meter is stretched to a tension  of    20.0 Newton.

(a)  find the fundamental frequency 

(b) the next 3 frequencies that  could cause a  standing wave pattern on the string

A certain vibrating string on a piano has a length of 74 cm and forms a standing wave having two antinodes.  

(a) Which harmonic does this wave represents?

(b)  Determine the wavelength of this wave

(c) how many nodes are there if 20.0 Newton find the fundamental frequency I'm the next three frequencies that could cause standing wave patterns on the street

A string on a cello vibrates in the first normal mode with a frequency of  220 Hz. The vibration segment is 70 cm long and has a mass of 1.20 grams

(a) find the tension in the string 

(b) Determine the frequency of vibration when the string vibrates in three segments.

A standing wave established in 120 cm long string fixed at both ends. The string vibrates in four segments when driven at  120 hertz. 

1. determine the wavelength 
2. what is the fundamental frequency of the string?