BABU BANARASI DAS NATIONAL INSTITUTE OF TECHNOLOGY & MANAGEMENT, LUCKNOW DEPARTMENT OF PHYSICS B.Tech. 1st year ASSIGNMENT- 1 (RELATIVISTIC MECHANICS) 1. Prove that a frame moving with constant speed along the positive x-direction relative to an inertial frame will also be inertial. 2. A ball has velocity (4i – 5j +10k) m/s relative to the train moving with velocity (3i + 4j) m/s relative to an observer in ground. Calculate the velocity of the ball relative to the ground. 3. Using the concept of Lorentz Fitzgerald contraction. Show that in Michelson Morley experiment t1=t2 4. In Michelson Morley experiment the distance of mirrors from the glass plate is 11 m and the orbital velocity of earth is 3X104 m/s. The wavelength of light used is 5500Å. Calculate the fringe-shift of fringe pattern. (Given c=3X108 m/s) 5. Show that from Lorentz transformation that events simultaneous (t1=t2) at different positions (x1≠x2) in the reference frame S are not in general simultaneous in another reference frames S’. 6. In an inertial frame S, a red light and a blue light are separated by a distance ∆x=2.45km. with the red light at the larger value of x. The blue light flashes and 5.35 μs later the red light flashes. Frame S’ is moving in the direction of increasing x with speed v = 0.855c. What is the distance between two flashes and the time between them as measured in S? 7. A cube of volume V0 and density ρ0 with respect to frame S is placed on x-axis of the frame. Frame S’ is moving with constant velocity v along positive x- direction relative to a stationary frame S. Show that the volume and density of this cube will be V= (V0 / γ ) & ρ = ρ0 γ2 where γ = 1/√(1- v2/c2) 8. Prove that the rest mass of photon is zero. 9. Calculate the percentage contraction of a rod moving with velocity 0.8c m/s in a direction inclined at 60° its own length. 10. A train of length 150m when passes through a tunnel of length 125m with velocity of 2.4x 108 m/s towards the tunnel (i) find the length...

...Solving Proportions
Problem 1
Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?
I think using a simple ratio equation would work here,
let b = bear population
=
cross multiply
2b = 50*100
2b=5000 divide 2 by 5000...

...declared but is not set to a definite known value before it is used.
Algorithm workbench
3. Write assignment statements that perform the following operations with the variables a, b, and c.
a. Adds 2 to a and stores the result in b
b. Multiplies b times 4 and stores the result in a
c. Divides a by 3.14 and stores the result in b
d. Subtracts 8 from b and stores the result in a
Assignment statements that perform operations with the variables a, b, and c*...

...Week 1 Activity—Pseudocode and Visual Basic
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TCO 1—Given a simple business problem, design and desk-check a solution that is expressed in terms of pseudocode, flowchart, and/or input-process-output (IPO) diagrams.
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Assignment
This activity will assist you in the understanding of how output should appear after statements are executed (results)...

...[pic]
ASSIGNMENT SUBMISSION AND ASSESSMENT
_________________________________________________________________________
OUMM3203
PROFESSIONAL ETHICS
(PLEASE EDIT WHERE NECESSARY-THIS IS ONLY SUGGESTIONS FOR THE ASSIGNMENT’S GENERAL INSTRUCTIONS)
_________________________________________________________________________
INSTRUCTIONS TO STUDENTS
1. This assignment contains only ONE (1) question that is set in the language of the...

...
Chartered Management Institute Approved Centre
Level 5 Extended Diploma in Management and Leadership
Written Assessment – 5
Unit 5001V1
Instruction Sheet
Assignment: Unit 5001V1 – Personal development as a manager and leader
Level: 5
Lecturer: Ian Laing
Date of Issue: 13th May 2015
Date Due In: 26th June 2015
Format: Word Document submitted to:
ianlaing@ihlassociates.karoo.co.uk...

...PT1420 - Unit 5 Homework and Lab Assignment
Unit 5 Assignment1: Homework
1.) Design an if-then statement that assigns 20 to the variable y and assigns 40 to the variable z if the variable x is greater than 100. (Simple if statement)
If x > 100 then
Y=20
Z=40
End if
2.) Design an if-then statement that assigns 0 to the variable b and assigns 1 to the variable c if variable a is less than 10. (Simple if...

...Week 1 Activity – Pseudocode
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TCO #1– Given a simple business problem, design and desk-check a solution algorithm that is expressed in terms of pseudocode or program notes and input-process-output (IPO) analysis leading to a flow chart.
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Assignment:
This activity will assist you in the understanding of how output should appear...