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How can the average speedx of a gas molecule be derived?

To start with, some assumptions must be made to simplify the problem. Firstly the N molecules are assumed to have no size, be identical and not interact with each other. The second assumption is that the mol...
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Answered by Zac T. • Physics tutor
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Find the shortest distance between the line L: x=1+t, y=1+2t, z=1-t and the point A: (2,3,4)

First, write the line in vector form r =(1 1 1) + t(1 2 -1). Consider a point P on the line such that the line connecting P and A is perpendicular to L. The vector P->A is (2 3 4) - (1 1 1) - t(1 2 -1) = ...
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Answered by Zac T. • Maths tutor
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Why are transition metal complexes coloured?

By definition, all transition metal ions have d orbitals. These are normally degenerate, lying at the same energy level as there is nothing to break the symmetry. However, in the presence of ligands, the sym...
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Answered by Zac T. • Chemistry tutor
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Prove that the difference of any two consecutive square numbers is odd

It is important we first define what we mean by an odd and even number. An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x where x is any integer. When...
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Answered by Amar H. • Maths tutor
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The tip of each prong of a tuning fork emitting a note of 320Hz vibrates in SHM with an amplitude of 0.50mm. What is the speed of each tip when its displacement is zero?

As with any question that lists numbers, the first thing to do is to note down the known variables: f = 320 Hz A = 0.50 mm x = 0 mm v = ? This requires use of two of the simple harmonic motion (SHM) equation...
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Answered by Ellie S. • Physics tutor
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