### Sound Wave Interference and Maximum AnglesIn a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits that are 30 cm apart. The questions below explore the conditions for the first-order maximum in wave interference patterns.#### (a) First-Order Maximum Angle for Sound Waves**Question:** At what angle is the first-order maximum located?**Attempted Answer:** 0.30°**Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.#### (b) Equivalent Slit Separation for Microwaves**Question:** If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum?**Attempted Answer:** 0.078 cm**Feedback:** Your response is off by a multiple of ten. Re-work calculations to find the correct slit separation.#### (c) Equivalent Frequency for Light**Question:** If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle?**Attempted Answer:** 0.00000010 Hz**Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.### Understanding Wave Interference- **Wave Interference:** The phenomenon where two waves meet while traveling along the same medium, resulting in a new wave pattern.- **First-Order Maximum:** An angle of constructive interference where a path difference between waves equals one wavelength.- **Key Parameters:** - **Speed of Sound:** 352 m/s - **Sound Frequency:** 2,000 Hz - **Wavelength for Microwaves:** 4.60 cm - **Slit Separations:** Original and calculated for microwaves and light.### Analysis Tips1. **Calculating Wavelength:** For sound, the wavelength \(\lambda = \frac{\text{speed of sound}}{\text{frequency}}\).2. **Using the Path Difference Equation:** Determine angles using \(d\sin\theta = m\lambda\), where \(d\) is slit separation, \(\theta\) is the angle, and \(m\) is the order of maximum.3. **Unit Conversion:** Ensure consistent units when assessing different wave types, such as converting between

Calculate the wavelength. λ = v/f = 352/2000 = 0.176(a) At what angle is the first-order maximum located?d sinθ = nλFor first order n = 1 0.3 sinθ= 0.176sinθ = 0.176/0.3θ = 35.92 degree(b) When the sound wave is replaced by 4.60 cm microwaves, Calculate the slit separation gives the same angle for the first-order maximum.d sinθ = nλ For first order n = 1d sin(35.92) = 1*0.46d = 0.784 d= 7.8 cm (c) When the slit separation is 1.00 µm. Calculate the frequency of light gives the same first-order maximum angle d sinθ = nλ For first order n = 1 10^-6 * sin35.92 = 1*λ λ = 5.87*10-7 mCalculate the frequency. f = c/λ = 3*10^8/5.87*10-7 f = 5.1*1014 Hz

Science

Physics

In a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first-order maximum located? 0.30 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (b) If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum? 0.078 Your response is off by a multiple of ten. cm (c) If the slit separation is 1.00 µm, what frequency of light gives the same first-order maximum angle? 0.000000100X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Hz

In a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first-order maximum located? 0.30 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (b) If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum? 0.078 Your response is off by a multiple of ten. cm (c) If the slit separation is 1.00 µm, what frequency of light gives the same first-order maximum angle? 0.000000100X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Hz

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two slits of width 3 μm, each in an opaque material, are separated by a center-to-center distance of 7.5 μm. A monochromatic light of wavelength 400 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. How many peaks of the interference will be observed in the central maximum of the diffraction pattern? Please show all the work! Thanks!
Chapter 36, Problem 017 (a) Find the equation of a at which intensity extrema for single-slit diffraction occur (Im - is maximum). What are the (b) smallest a and (c) associated m, the (d) second smallest a and (e) associated m, and the (f) third smallest a and (g) associated m? (Note: To find values of a satisfying this conditiion, plot the curve y = tan a and the straight line y = a and then find their intersections, or use a calculator to find an appropriate value of a by trial and error. Next, from a = (m+1/2)x, determine the values of m associated with the maxima in the single-slit pattern. These m values are not integers because secondary maxima do not lle exactly halfway between minima.) (a) = 0 2 Edit •1 (b) a = Number Units 2 Units (c) m = Number *3 Units (d) a = Number *4 Units (e) m = Number Units (f) a = Number Units (g) m = Number
In a single-slit experiment the slight width is 169 times the wavelength of the light. What is the width of the central maximum on a screen located 2.07 m behind the slit. Provide your answer in millimeters, rounded to two places after the decimal.
Not sure how to approach this problem; could I just find the herze of the moving wave and use that to perform a young's double slit calcuation to start with?
What is the answer? with work?
Light of wavelength 0.616 um passed through two slits separated by distance d=2.61 µm and creates an interference pattern that can be observed on a screen placed distance 0.86 m away. The bright fringes in the pattern are not equidistant. What is the distance between fırst and third bright band observed on the screen? Provide your answer in centimeters, with a precision one place after decimal.
The fringe of order (1.0000x10^0) is observed at an angle of (7.3000x10^0)° when light of wavelength (2.62x10^0) nm falls on two narrow slits. How far apart are the slits in micrometers? Give your answer to 3 sf. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer
While doing some spring cleaning you find an old laser pointer. Youtake the laser into your physics laboratory to perform a double-slitexperiment. The distance from the barrier to the screen is 2.50 m andthe two slits are 0.350 mm apart from each other. You measure thedistance from the central maximum to the 2nd order maximum andfind that it is 9.04 mm. What is the wavelength of your laser pointer’slight?
In a location where the speed of sound is 332 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first-order maximum located? O (b) If the sound wave is replaced by 2.55 cm microwaves, what slit separation gives the same angle for the first-order maximum? cm (c) If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle? Hz
why is this solution wrong for finding one specific dark spot or minimum and why answer is smaller that this
Problem 2: Consider a 470 nm wavelength blue light falling on a pair of slits separated by 0.045 mm. At what angle (in degrees) is the first-order maximum for the blue light? 0 = || sin() cos() cotan() asin() atan() acotan() cosh() tanh() O Degrees O Radians tan() acos() sinh() cotanh() ED π () 7 E ^^ 4 5 6 8 9 HOME + 1 2 VO BACKSPACE 63 DEL END CLEAR
The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. Two slits that are 0.200 mm apart produce an interference pattern on a screen such that the central maximum and the 10th bright band are distanced by an amount equal to one-tenth the distance from the slits to the screen. y= ________ d=________ m=_______ L=________