Inpho 2010 Question Paper From India Indian National Physics Olympiad

Indian National Physics Olympiad – 2010 Roll Number:P 1 0 0 0 0 Date: 31st January 2010 INPhO – 2010 Duration: Three Hours Maximum Marks: 60 Full Name (BLOCK letters) Ms. / Mr.: Male / Female E Please fill in all the data below correctly. The contact details provided here would be used for all further correspondence. Date of Birth (dd/mm/yyyy): CS Name of the school / junior college: Class: XI/ XII Board: ICSE / CBSE / State Board / Other Address for correspondence (include city and PIN code): PIN Code: Telephone (with area code): Email address: 000000 Mobile: Besides the International Physics Olympiad, do you also want to be considered for the Asian Physics Olympiad? For APhO - 2010 your presence will be required in Delhi/Taiwan from April 13 to May 02, 2010. HB Yes/No. I have read the procedural rules for INO and agree to abide by them. Signature ================================================== (Do not write below this line) ================================================== MARKS Que. 1 2 Part A 3 4 5 Part B Subtotal A Subtotal B Marks HOMI BHABHA CENTRE FOR SCIENCE EDUCATION Tata Institute of Fundamental Research V. N. Purav Marg, Mankhurd, Mumbai, 400 088 Total Instructions: 6. 7. 8. 9. E 5. Write your Roll Number on every page of this booklet. Fill out the attached performance card. Do not detach it from this booklet. This booklet has two (2) parts: Part A and Part B and consists of 22 pages. Part A consists of five (5) questions. These should be answered in the space provided along with the question. Part B is a set of multiple choice questions. One of the given choices is the best choice. Select this most appropriate choice and darken the bubble in the corresponding space in the answer booklet which is attached at the end of Part B (Page no. 16). In Part B, there are 20 questions. Each right answer carries 0.5 marks. There is no negative marking for this part. You are encouraged to attempt all questions in this part. Computational tools such as calculators, mobiles, pagers, smart watches, slide rules, log tables etc. are not allowed. You may use blank pages at the end of this booklet for rough work. This entire booklet must be returned. CS 1. 2. 3. 4. Table of Information HB Speed of light in vacuum c Planck’s constant h Universal constant of Gravitation G Magnitude of the electron charge e Stefan-Boltzmann constant σ Permittivity constant ǫ0 Permeability constant µ0 Acceleration due to gravity g Universal Gas Constant R = = = = = = = = = 3.00 × 108 m·s−1 6.63 × 10−34 J·s −2 6.67 × 10−11 N·m2 ·kg 1.60 × 10−19 C 5.67 × 10−8 W·m−2 · K−4 8.85 × 10−12 F·m−1 4π × 10−7 H·m−1 9.81 m·s−2 8.31 J· K−1 ·mole−1 HOMI BHABHA CENTRE FOR SCIENCE EDUCATION Tata Institute of Fundamental Research V. N. Purav Marg, Mankhurd, Mumbai, 400 088 Roll Number:P 1 0 0 0 0 INPhO - 2010 PART - A E 1. Two skaters (A and B), each of mass 70 kg, are approaching each another on a frictionless surface, each with a speed of 1 m·s−1 . Skater A carries a ball of mass 10 kg. Both skaters can toss the ball at 5 m·s−1 relative to themselves such that when A tosses the ball at t = 0 s to B then the ball leaves at 6 m·s−1 with respect to the ground. Further, they start (t = 0 s) tossing the ball back and forth when they are 10 m apart (see Fig. (1)). Assume that the motion is one dimensional, all collisions are completely inelastic and that the time delay between r