Show that if qd≫1 the probability for tunneling through a
potential barrier of width d is...
Show that if qd≫1 the probability for tunneling through a
potential barrier of width d is proportional to e^(-2qd). Plot this
function and explain the implications.
1(i) Show, if (X, d) is a metric space, then d∗ : X × X → [0,∞)
defined by d∗(x, y) = d(x, y) /1 + d(x, y) is a metric on X. Feel
free to use the fact: if a, b are nonnegative real numbers and a ≤
b, then a/1+a ≤ b/1+b .
1(ii) Suppose A ⊂ B ⊂ R. Show, if A is not empty and B is
bounded below, then both inf(A) and inf(B) exist and...
Let p be a prime and d a divisor of p-1. show that the d th
powers form a subgroup of U(Z/pZ) of order (p-1)/d. Calculate this
subgroup for p=11, d=5; p=17,d=4 ;p=19,d=6
Show that the probability that all permutations of the sequence
1, 2, . . . , n have no number i being still in the ith position is
less than 0.37 if n is large enough. Show all your work.
1. A moving particle with a charge of 6.52 is accelerated
through a potential difference of 234mV. Find the final velocity of
the particle if its initial velocity is 5.24m/s. (mass of the
charged particle=154g).
2. An unpolarized beam passes through a system containing three
ideal polarizers. the first polarizer is oriented with a horizontal
transmission axis, the second one has its transmission axis at
70.4degrees from the horizontal, and the third filter has a
vertical transmission axis. What percent...
Given a normal distribution with μ=100 and σ= 10 complete parts (a) through(d)a.The probability that X>95 is ____(please round to four decimal places as needed)b.The probability that X<90 is ____(please round to four decimal places as needed)c.The probability that X<80 or X> 125 is ____(please round to four decimal places as needed)d.90% of the values are greater than___ and less than___(please round to two decimal places as needed)
(1) The table below is a probability distribution of potential
quantity of sales of Gourmet sausages during a game. John Bull has
to pay a concession fee of $200 to receive a permit to sell
sausages at the stadium. Gourmet sausages can be bought at
wholesale for $2.00 and sold in the stadium for $3.50 each. Unsold
sausages cannot be returned. Given the probability
distribution:
How many sausages should John Bull expect to sell?
How many sausages should John Bull...
(1) The table below is
a probability distribution of potential quantity of sales of
Gourmet sausages during a game. John Bull has to pay a concession
fee of $200 to receive a permit to sell sausages at the stadium.
Gourmet sausages can be bought at wholesale for $2.00 and sold in
the stadium for $3.50 each. Unsold sausages cannot be returned.
Given the probability distribution:
How many sausages should
John Bull expect to sell?
How many sausages should
John Bull...
1. In a system design the electrons are accelerated from rest
through a potential difference of 250 V. The electrons travel along
a curved path because of the magnetic force exerted on them, and
the radius of the path is measured to be 5 cm long. If the magnetic
field is perpendicular to the beam what is the linear speed of the
electrons, what is the angular speed of the electrons and what is
the magnitude of the magnetic field...