Answer All parts please show work 2) Still LIGO: Optical cavities are pairs of mirrors that face each other so thatlight bounces back and forth between them. LIGO has optical cavities alongeach of its arms. There are a variety of different kinds of optical cavities thatcould have been used.a) Assume that the cavity length is L, meaning that the mirrors are separated by thatdistance. What are the radius of curvatures of the mirrors, in terms of L, for these threeoptical cavities?i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors.Confocal: the beam from each mirror focuses on the opposite mirror. (This is the oneLIGO uses.)ii.iii. Plane-parallel: the beam from each mirror does not focus at all.

Solution i). for the concentric optical cavity, the radius of curvature is, R1=R2=L2

i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors. Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one LIGO uses.) ii. iii. Plane-parallel: the beam from each mirror does not focus at all.

i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors. Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one LIGO uses.) ii. iii. Plane-parallel: the beam from each mirror does not focus at all.

Related questions

Q: Show your work on a separate document. Block or highlight your answers. 1. Refer to figure 1. A mass…

A: for equilibrium forces must be equal and opposite

Q: 21) Rotational Dynamics: The drive chain in a bicycle is applying a torque of 0.850 N m to the wheel…

A: Given:Torque(ζ)=0.850N.mMoment of Inertia(I)=0.100kg.m2

Q: Three polarizing plates whose planes are parallel are centered on a common axis. The directions of…

Q: 5. A box-shaped piece of concrete measures 3 ft by 2 ft by 0.5 ft. (a) What is its weight? (b) Find…

Q: a. What is the speed of the combined mass system after the collision?

A: Conservation of linear momentum According to the conservation of linear momentum, for a system where…

Q: in the figure below, a metal bar sitting on two parallel conducting rails, connected to each other…

A: Solution: e) Given that, B=2.60 T at t=0 dB/dt=0.50 T/s x0=0.100 mV=2.25 m/s

Q: At he center of the rope, a 7.9-kg ball is hung as shown. What is the tension in the rope if the…

Q: 19) Torque: A man in a gym is holding an 8.0-kg weight at arm's length, a distance of 0.55 m from…

Q: Which of the following correctly lists electromagnetic waves in order from shortest to longest…

A: The electromagnetic spectrum is written as Radiowave ( 103 m ) , Microwave ( 10-2 m ) , Infrared (…

Q: 7) The figure below shows a conical pendulum. It consists of a bob is suspended at the end of a…

Q: Help on question 6

Q: A B C Question 21 Two people parachute out of a plane at the same time. D A - 100 lbs thair Fgrav B…

Q: An object is placed 25 cm in front of a converging lens of focal length 20 cm. 30 cm past the first…

Q: Three charges are fixed in place as shown. The squares in the grid have sides of length s = 0.24 m.…

A: In this question Answer is in below.

Q: A brick is thrown upward from the top of a building at an angle of 25° to the horizontal and with an…

A: there are three equation of motion v = u +at v2 -u2 = 2as s = ut + 0.5at2 here v = final…

Q: 73) Uniform Circular Motion: A 2.0-kg ball is moving with a constant speed of 5.0 m/s in a…

A: Mass of a ball (m) = 2 kg Speed (v) = 5 m/s Diameter (d) = 1 m Radius (r) = d/2 = 1/2 = 0.5 m

Q: 58) Newton's Second Law in 2 Dimensions: A 1000-kg barge is being towed by means of two horizontal…

A: Given information: The mass of the barge (m) = 1000 kg The force applied on the barge (F) = 80.0 N…

Q: 7. A tennis ball (hollow sphere)is released from rest at h = 3R, where R = 1.0 m is the radius of…

A: Given, Initial height,h=3R=3(1)=3 m Height of point P,H=R=1 m Mass of ball, m=1 kg

Q: An 8-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch…

A: Given that:m=8 kgy¯=80 cm=0.80 my(0)=-6 cmv(0)=0 (Mass is released)F(t)=0.2cost Nb=5 N-sec/m

Q: Four people are pulling in different directions on a shopping cart. The magnitude of their pulling…

Q: E= 12.0 V R1=R2=4.00 OR4=3.00 The resistor network as shown dissipates 30 Watts. What is the value…

A: Given: The supply voltage is 12 V. R1=R2=4 ΩR3=3 Ω

Q: If a spring has a frequency of 5 Hz and an amplitude of 0.7 m, then find the acceleration 4.0…

A: Write the function of the position. x=Acosωt Differentiate the function of the position to obtain…

Q: 3. In a series RC circuit with R = 5.00 kN, C = 2.00 µF, and v = 170 sin (300t), where is in volts.…

Q: What size capacitor should be placed in series with a 30-2 resistor and a 40-mH inductive coil if…

Q: onsider the figure below. (Let w, = 105 N and w, = 50.5 N.) W2 (a) What is the minimum force of…

Q: 28. IP In a tennis match, a player wins a point by hitting the ball sharply to the ground on the…

Q: The position function of the object is defined as S(t) = -4.9t +120f, where s(t) is measured in…

Q: What force must be applied to the end of a rod along the x -axis of length 3.5 m in order to produce…

Q: Objects of masses m, = 4.00 kg and mn, = 9.00 kg are connected by a light string that passes over a…

A: Using the kinematic equation for the motion of m2 d=vit+12at2d=0+12at2a=2dt2Inserting…

Q: In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of Vo = 3.0…

A: Given:- The lunch speed of the ball is u = 3.0 m/s The flat board that is tilted up at a 20o angle…

Q: 5) Let's use this expression to solve a problem. Star X and Star Y are intrinsically identical…

A: Given, star X is located 20 light-years from earth star Y is located 40 light-years from earth…

Question

Answer All parts please show work

2) Still LIGO: Optical cavities are pairs of mirrors that face each other so that
light bounces back and forth between them. LIGO has optical cavities along
each of its arms. There are a variety of different kinds of optical cavities that
could have been used.
a) Assume that the cavity length is L, meaning that the mirrors are separated by that
distance. What are the radius of curvatures of the mirrors, in terms of L, for these three
optical cavities?
i. Concentric: the beam from each mirror focuses at the midpoint between the mirrors.
Confocal: the beam from each mirror focuses on the opposite mirror. (This is the one
LIGO uses.)
ii.
iii. Plane-parallel: the beam from each mirror does not focus at all.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here