Homework Statement
For all natural numbers n, prove whether the following is true or false:
n3-n is always divisible by 6.
From SQA Advanced Higher Mathematics 2006 Exam Paper
Homework Equations
I can choose from the following types of proof:
Direct proof
Proof by contradiction
Proof by...
Homework Statement
I've used z* to mean z conjugate.
Given the equation z + 2iz* = 8 + 7i, express z in the form a + ib.
From SQA Advanced Higher Mathematics 2005 Exam Paper
Homework Equations
n/a
The Attempt at a Solution
I substituted a+ib and its conjugate in for z and z*, which, after...
Homework Statement
A rocket ship is accelerating through space. Clocks P and Q are at opposite ends of the ship. An astronaut inside the rocket ship is beside clock P and can also observe clock Q.
What does the astronaut observe about the passage of time for these clocks? Justify your answer...
Homework Statement
Question 3.b. - http://imgur.com/ztLiRvx
Homework Equations
For the sake of simplicity, let's assume that lambda = x.
The Attempt at a Solution
I tried equating the real an imaginary parts of arctan(1/4).
Real: x/2 + 3 = 4. This gives x = 2.
Imaginary: x/2 - 3 = 1. This...
1. Homework Statement
If the optical path diff between two light waves is lambda/2 will they always interfere destructively? if this in true then wherever one wave undergoes aphase change of pi at one surface and the second wave does not then these two will always interfere destructively...
Could someone please explain this question to me I'll include what I thought the answer was and the actual SQA answers.
Please can you read my answer just to see what I'm doing wrong and what I don't understand
It's from the 2009 past paper AH physics
Thanks so much I really appreciate any...
Homework Statement
A resistor and a capacitor are connected in series to a variable frequency supply. A voltmerter is connected across the inductor and another across the resistor. The supply voltage is kept constant as frequency of supply is increased.
State and explain the changes in the...
A d.c circuit consists of a switch, lamp and inductor.
The inductor is replaced with an inductor with twice the number of turns in the coil of wire, nothing else about it is changed.
State the effect on
A) maximum current
B) the time to reach max current
I thought increasing the turns would...
in my AH physics investigation - measuring acceleration due to gravity, I used the bifilar suspension pendulum btw a light gate was used
for the errors/problems section so far I have problems in making the rod level and keeping the two strings parallel, also all the random, calibration and...
completing my advanced higher physics investigation - measuring acceleration due to gravity
for the oscillating mass on a spring experiment
so far I have included friction between the nail & oscillating rod as a possible source of error
can anyone think of anything else?
thank you very much...
As part of my Advanced Higher Physics course I am require to investigate an area of physics not covered by the syllabus. My first thought was to use telron tubes or similar in order to determine the charge to mass ratio of an electron. However it has just come to my attention that this has in...