MTH 1202: ELEMENTARY MATHEMATHICS III. [EXAMS]

CROSS RIVER UNIVERSITY OF TECHNOLOGY

DEPARTMENT OF MATHEMATICS/STATISTICS

SECOND SEMESTER 2015/2016 EXAMINATION

MTH 1202: Elementary Mathematics III.                                Time: 2¹/₂ Hours

Answer question One an any other Three questions. Scientific calculator is allowed 

MTH 1101: GENERAL MATHEMATICS [EXAMS]

 CROSS RIVER UNIVERSITY OF TECHNOLOGY, CALABAR

DEPARTMENT OF MATHEMATICS/STATISTICS

FIRST SEMESTER 2014/2015 EXAMINATION

MTH 1101: GENERAL MATHEMATICS

Instructions: Read the questions carefully and answer all the questions asked. Supply all answers on the question paper provided and submit it together with the answer booklet. Only duly registered students should take the exams. No calculator, table or mobile phone is allowed. Any form of malpractice will be punished accordingly.  

PAST QUESTION ON PROBLEM SOLVING CSC1101

CROSS RIVER UNIVERSITY OF TECHNOLOGY, CALABAR

DEPARTMENT OF COMPUTER SCIENCE

FIRST SEMESTER 2015/2016 EXAMINATION

CSC 1101: INTRODUCTION TO PROBLEM SOLVING 

PHY1104: LABORATRY PHYSICS 1 [EXAMS]

CROSS RIVER UNIVERSITY OF TECHNOLOGY

DEPARTMENT OF PHYSICS

FIRST SEMESTER EXAMINATION 2015/2016

PHY1104: Laboratory Physics I                                           Time 2¹₂ Hours

Attempt all questions in section A and B

Section A

1.     The equation of a straight line is given by

P = ax + k. what do a and k represent

2.     Draw a graph of the equation in question 1. In which k = 0

3.     In the equation governing the motion of a simple pendulum T = 2π transform the equation making g the subject of the equation.  

4.     In question 3 if you were to plot a graph of T²  against I. write down the part of the transform equation that represents the slope.

5.     What do you understand by standard error for value.

6.     Suppose T₁ = 94.0 ± 0.5; T₂ = 85.5 ± 0.5⁰C and T = T₁ - T₂

If the errors quoted are standard errors. Write down the value of T and the standard error.

7.     If V = πd² ¼     where I = 89 + 0.1cm (limit m.e.) and D = 2.1 + 0.1cm (limit m.e)

Obtain the maximum error in V.

Section B

In an experiment to determine the radius of gyration of a bar pendulum an the acceleration due to gravity, a student displaced the bar slightly to note the time for 10 oscillations. The bar was suspended from the 5cm mark Sp. The entire experiment was then repeated for equal interval of 5cm and the following observation was made. The bar or meter rule was balanced at Sg = 50.2

Sp	5,	10,	15,	20,	25,	30,	35,	40
T1	32.2	31.8	31.0	30.6	30.8	31.8	34.0	38.2
T2	32.2	31.8	31.0	30.7	30.8	31.8	34.0	38.4

Questions

1.     Construct a composite table for the results

2.     Determine h = Sg – Sp (cm)

3.     Determine the period for each position

4.     Plot a graph of hT² against h²

5.     Determine the slope of your graph

6.     Read out the intercept on the h² axis

7.     From the equation T = 2π{( h² + k²)/gh}

8.     Deduce the values of g, and k from your graph.

9.     What does k represent?

10.            Plot another graph of T against h using a suitable scale and a different graph page. Is your graph a straight line or a curve?

11.            If it is a straight line what does the shape represent and if it is a curve what does the minimum point represent.

12.            State two sources of error in this experiment.