Question

Exercises

1. How is the image formed by the mirror different from the lenses ?

Exercises: Problem Solving

1. The focal point is found 20 cm from a double concave lens where an object is placed 12 cm. Find the image distance.??

2- A 2.8 cm diameter coin is placed 25 cm from a double concave lens with focal length of -12 cm. Find the image distance and diameter of the image??

3. An object that is 8 cm high is placed 80 cm in front of a convex (converging) lens whose focal length is 40 cm. Determine the characteristics of the image and make a summary??

4. An object that is 5 cm high is placed 25 cm in front of a convex (converging) lens whose focal length is 10 cm. Determine the characteristics of the image and summarize??.

Exercises on Problem Solving1.

(a) How long does it take the astronaut to travel 4.30 light year at 0.99944c, as measured by the earth-bound observers?(a)How long does it take according to the astronaut?

(b)Verify that the two times are related through time dilation with Ƴ = 2=30.00c as given

Exercises on Problem Solving2. (a) Find the value of Ƴ for the following situation. An astronaut measures the length of the spaceship to be 25.0 m, while an earth-bound observer measures it to be 100m

.(b) What is unreasonable about the result?

(c) Which assumptions are unreasonable or inconsistent?

Exercises1.A particle is travelling through the earth’s atmosphere at a speed of 0.750c. To and earth-bound observer, the distance it travels is 2.50km. How far does the particle travel in the particle’s reference frame?2.Suppose an astronaut travels so fast that Ƴ = 30.00(a) He travels from the earth to the nearest to the nearest star system, Alpha Centauri, 4.300 light years (ly) away as measured

Exercises2. Suppose an astronaut travels so fast that Ƴ = 30.00(a) She travels from the earth to the nearest to the nearest star system, Alpha Centauri, 4.300 light years (ly) away as measured by an earth-bound observer. How far apart are the earth and Alpha Centauri as measured by the astronaut?

Exercises2. Suppose an astronaut travels so fast that Ƴ = 30.00(b) In terms of c, what is her velocity relative to the earth (disregard motion of the earth relative to the sun)?

Exercises3. Analyze the dataLength of the spaceship as seen on board = 200 mObservation from the earth = 0.970cLength of the spaceship as measured by the earthbound observer?

Exercises4. How fast would a 6.0m-long sports car to be going fast you in order for the sports car to appear only 5.5 m long?

Exercises5. An observer on the earth, the muontravels at 0.960c for 7.05 ͷs from the time it is produced until it decays. Find the distance travelled. With a lifetime of 2.20ͷs, does the time is enough for the particle to travel?

Exercises6. (a) How fast would the athlete need to be running for a 100-m race to look 100 yard long?(b) Is the answer consistent with the fact that relativistic effects are difficult to observe in the ordinary circumstances? Explain.

Exercises7. A highway patrol officer uses a device that measures the speed of vehicles by bouncing radar off them and measuring the Doppler shift. The outgoing radar has frequency of 100 Hz and the returning echo has a frequency of 15.0Hz.What is the velocity of the vehicle? Note: 2 Doppler effect in the echoes. Be certain not to round off until the end of the problem since the effect is small.

Answer 1