Unit 4: The Wave of Nature 1. Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10“ m slit falling onto a screen 68cm away. K/U 2. A special effects creator wants to generate an interference pattern on a screen 6.8m away from a single slit. She uses 445 nm light and hopes to get the second dark fringe exactly 48 cm from the middle of the central bright maximum. What width of the slit does she require? T/I 3. What is the speed of light in water if, in water, ɛ = 7.10 x 1010 C2/ N.m2 and u = 2.77 x 108 N /A?. K/U 4. a) Determine the wavelength of an AM radio signal with a frequency of 6.40 x 10° Hz. b) Suggest why AM radio transmitting antennas are hundreds of meters tall. C 5. Viewing a 645 nm red light through a narrow slit cut into a piece of paper yields a series of bright and dark fringes. You estimate that five dark fringes appear in a space of 1.0 mm. If the paper is 32 cm from your eye, calculate the width of the slit. T/I 6. Why does a diffraction grating produce much narrower bright fringes than a double slit interference pattern? C 7. How did Thomas Young's experiment support the wave model of light? K/U 8. An interference maximum is produced on a screen by two portions of a beam originally from the same source. If the light travelled entirely in air, what can be said about the path difference of the two beams? T/I 9. A diffraction grating with 2000 slits per cm is used to measure the wavelengths emitted by hydrogen gas. If two lines are found in the first order at angles 0, = 9.72 x 10 rad and 0, = 1.32 x 10 rad, what are the wavelengths of these lines? A 10. Microwave oven doors have metallic screens embedded in them. Light is able to pass through these screens, but the microwaves are not. Assume that the microwave radiation is in the order of 1010 Hz and the light in the order of 1014 Hz. A (a) Calculate the wavelengths of both the microwave radiation and visible radiation. (b) Suggest why a metallic screen is used in

Q: II 1) Listen Let A U 9 ) + i 3 m ]k and C 2. +[ 2 m 4m 1 m k. Then A B equals: B. 17 (8 m)i+ (12 m)j…

A: Dot product is the scalar product of two vectors. It is an algebraic operation whose outcome is a…

Q: how did you get n=3?

A:

Q: What's mu? If p has a unit of [kg/m), v has a unit of [m/s), D has a unit of [m), and Ris unitless,…

A: Given:Let the : density be 'ρ' → kg m-3  speed be 'v'→ m s-1 length be 'D' → m

Q: Find the angle made by the vectors A and B given below A=(2,1,3). B=(3,-2,1).

A:

Q: What is the x component of A?

A: From the graph, dx = 3 dy = 3

Q: Find the net Voltage at the origin..

A: Given: Charges as q1=5e, q2=5e, q3=3e and q4=-12e d=5 μm Coulomb constant kel=9×109 Nm2/C2…

Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: 1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is…

A:

Q: Which of the following best represents A R=A+B? B L

A: If two vectors are represented both in magnitude and direction by the two sides of a triangle taken…

Q: what are the x, y, and z components of p given the force is 535N

A: Step 1:Step 2:

Q: Find the general solution for the following differential equation: y' +9y = -3/ General Solution:…

A:

Q: If A - B = 0 and Ã × B = 0 what can we say about Aand B? Select one: O a. None of the other options…

A:

Q: The figure shows a symmetrical rotor spinning about an axis through the centre of the rotor in the…

A: Direction of vectors can be found out using right hand rule.

Q: An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north- ern" (y…

A:

Q: 2.1 Calculate the % Error (accepted value 9.80 m/s?) for the following measurements: 9.87 m/s? 9.93…

A: % Error is given as% error=Experimental value-Realor acceptedvalueAccepted valuex100

Q: Prove that (+)* a+ib = a-ib c-id' where a, b, c, d are nonzero real numbers.

A:

Q: Cartesian to Spherical Given a point P = (-2,6, 3) and a vector A = ya, + (x + 2)a, are in Cartesian…

A: Given: A point P=(x,y,z)=(-2,6,3) A vector A⇀=yax^+(x+z)ay^ Calculation: (a) In spherical polar…

Q: 13

A: We are given a boat. We are also 2 forces acting and their directions also. We are given net force…

Q: Mild-mannered Clark Kent pushes a box with a force F = 735 at an angle of 21° below the horizontal.…

A: Recall Fnet=ma Also for vertical equilibrium ∑Fy=0

Q: You are holding two small insulating spheres, one in each hand. Your hands are separated by 15 mm.…

A: We know that force between two charges seperated by distance r is given as  F=kq1q2r2

Q: how did you get L=0.0228

A: The period of oscillation, T=0.30s. We know the acceleration due to gravity on the earth surface is,…

Q: Given the following three vectors: A = -9î+7), B = -61-10) and vector C has a magnitude of, 9 and…

A: Given that, The vectors A and B are A→=-9i^+7j^B→=-6i^-10j^ the magnitude of the vector C is C→=9…

Q: In the shown figure, the length of the side of the square is 2a , if q;=Q is placed at point "7",…

A:

Q: 6. Show that v x 4) da = [(Ax (V/) da + fs. ƒA- dl

A:

Q: Q2- If a = 2 i-j+ 2 k and b = 4 i- 3 k, find the magnitudes of a and b and the angle between them.

A: Given : a = 2i-j+2k b = 4i-3k

Q: 8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix, AZ, in 4 hr with a tailwind; but it…

A:

Q: 1. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find…

A:

Q: 6. The graph shows the x-component of the electric field as a function of position on the X-axis. If…

A:

Q: 10 V vs t V vs Number of turns 100 60 n 80 1 time (s)? 3 3 1 V vs angle V vs r 0.5 1 50 100 150 200…

A:

Q: - Calculate the commutator (J1e, J²] where J = J, + J=

A: Here the commutator is to be evaluated  J1z, J2 , where J→=J1→+J→2 Here, J2=J1→+J→2.J1→+J→2…

Q: in plane polar 3. The point (1,1) in rectangular coordinates is equivalent to coordinates.…

A:

Q: 48 52 RS 24 42 R6 24 328 106 7.21 R12 15

A:

Q: Let R = A x B and e = 90-where e is the angle between A and B when they are drawn with their tails…

A:

Q: 1. Four students are trying to move a table from one corner of the classroom to another, as…

A: Given Data: Let us consider the given forces acting on rectangular table. We are to find resultant…

Q: Find the singular point of the rational function f(z)=z/(z+i) * O z=-i O z=1 O z=i O z=-1 Find f'(z)…

A: i. Fz=zz+i*=zz*-isingular point , z*-i=0z*=iz=-i

Q: Let /be the line through the point with coordinates (0,1,0) in the direction of the vector 1 0 their…

A: Given, l be the line through the point with coordinates (0,1,0) in the direction of the vector…

Q: What are (a) the x component, (b) they component, and (c) the z component of 7 = à − b + c if à =…

A: It is given that, a→=2.8i^+5.7j^-8.1k^ b→=-4.9i^+4.4j^+3.8k^ c→=1.8i^+2.8j^+4.6k^ and, r→=a→-b→+c→…

Q: Additional Question: The figure shows two unequal charges +q and -Q. Charge-Q has greater magnitude…

A: Write the expression for the electric field due to the charge +q. E+q=kql2 Here, l is the distance…

Q: 7. Find the volume of tetrahedron hav (-1-k), (4+5+qk), (37 End the value of q for which these four…

A:

Q: 1. Cloth tape measures are used commercially to make coarse measurements of length. Why are such…

A:

Q: Problem 1 A rock is thrown straight upward at 9 m/s just over the side of a raised deck, 5.5 m above…

A: Initial velocity of the rock, Height from which the rock was thrown,

Q: Problem 1. Find a b if lal = 10, b| = 9, and the angle between a and b is - radians. ab=

A: Given, a=10             b=9             angle θ=-π6rad = -30 degrees             a . b = ? The…

Q: Two particles are fixed on an x axis. Particle 1 of charge 44.7 µC is located at x = -20.4 cm;…

A:

Q: e harmonic oscillation? Wh

A: