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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 conditilon, 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 lie exactly halfway between minima.) (a) 2 Edit 1 (b) a = Number Unit 1+2 Units (c) m = Number *3 Units (d) a = Number 1+4 Units (e) m = Number *5 Units (f) a = Number (g) m = Number Units

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 conditilon, 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 lie exactly halfway between minima.) (a) 2 Edit 1 (b) a = Number Unit 1+2 Units (c) m = Number *3 Units (d) a = Number 1+4 Units (e) m = Number *5 Units (f) a = Number (g) m = Number Units

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### Chapter 36, Problem 017 **(a)** Find the equation of **α** at which intensity extrema for single-slit diffraction occur (**I_m** is maximum). What are the **(b)** smallest **α** and **(c)** associated **m**, the **(d)** second smallest **α** and **(e)** associated **m**, and the **(f)** third smallest **α** and **(g)** associated **m**? *(Note: To find values of **α** satisfying this condition, plot the curve **y = tan(α)** and the straight line **y = α** and then find their intersections, or use a calculator to find an appropriate value of **α** by trial and error. Next, from **α = (m + 1/2)π**, 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 lie exactly halfway between minima.)* **(a)** - \[ \boxed{} \ \ \text{= 0} \] **(b)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(c)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(d)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(e)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(f)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(g)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] ### Explanation for Graphs and Diagrams The problem suggests the use of graphical methods to find the values of **α**. Specifically, it advises plotting the curve **y = tan(α)** and the straight line **y = α** and identifying their intersection points to find the appropriate **α** values. If a graph is available: 1. **Curve y
Transcribed Image Text:### Chapter 36, Problem 017 **(a)** Find the equation of **α** at which intensity extrema for single-slit diffraction occur (**I_m** is maximum). What are the **(b)** smallest **α** and **(c)** associated **m**, the **(d)** second smallest **α** and **(e)** associated **m**, and the **(f)** third smallest **α** and **(g)** associated **m**? *(Note: To find values of **α** satisfying this condition, plot the curve **y = tan(α)** and the straight line **y = α** and then find their intersections, or use a calculator to find an appropriate value of **α** by trial and error. Next, from **α = (m + 1/2)π**, 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 lie exactly halfway between minima.)* **(a)** - \[ \boxed{} \ \ \text{= 0} \] **(b)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(c)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(d)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(e)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(f)** \[ \alpha = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] **(g)** \[ m = \text{Number} \ \ \boxed{} \] \ \ Unit(s) \[ \boxed{} \] ### Explanation for Graphs and Diagrams The problem suggests the use of graphical methods to find the values of **α**. Specifically, it advises plotting the curve **y = tan(α)** and the straight line **y = α** and identifying their intersection points to find the appropriate **α** values. If a graph is available: 1. **Curve y
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