1)Indifference curves and budget constraints:
(a)Explain how you would mathematically figure out and give a
verbal interpretation of both intercepts and the slope of the
budget constraint.
(b)Explain why the slope of the budget constraint is a constant
but the slope of the indifference curve decreases as you move to
the right along the X axis (have more X and less Y)
(c)If MRS>Px/Py, explain why this would happen, why this
would cause the consumers to change their bundle, and...
Superposition of N harmonic oscillator waves of equal amplitude
equal angular frequency ω and constant incremental phase difference
φ. And constant spacing d between them. The total length of the
array of the oscillator is L. With L = N*d
The amplitude is: where A0 the amplitude of each wave. A = A0
sin(Nφ /2) / sin(φ /2)
The intensity : I = I0*(sin(Nφ /2) / sin(φ /2))^2
1. show the minimum is at Nd*sin(θ ) = m λ, m...
a) Derive the Snell law mathematically.
b) Why do the waves change speed and direction when changing
the environment?
c) Waves are known to transmit energy. Can a wave transmit
momentum or angular momentum similarly? Explain in detail.
When two waves in the same medium hit each other, the resulting
displacement of the medium is
A. Either larger or smaller than the displacement of either
wave acting alone, depending on the signs of the displacements of
the two waves.
B. Always smaller than the displacement due to either wave
acting alone.
C. Always larger than the displacement due to either wave
acting alone.