Two slits are illuminated by a 348 nm light. the angle between the zeroth-order bright band at the center of the screen and the fourth-order bright band is 13.5 ◦ . if the screen is 154 cm from the double-slit, how far apart is this bright band from the central peak? answer in cm.

0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is

Wavelength

Angle between zeroth order bright fringe and Fourth-order bright fringe is

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

Also

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560