A two-slit arrangement with 60.3 μm separation between the slits are illuminated with 537.0-nm wavelength light. If a viewing screen is located 2.14 m from the slits, find the distance on the screen from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

38.12 mm

Explanation:

In the interference pattern created by the diffraction of light through a double slit, the position of the maxima (bright fringes) are given by

where

m is the order of the maximum

is the wavelength of the light

D is the distance of the screen from the slits

d is the separation between the slits

On the other hand, the position of the minima (dark fringes) is given by

where

(m+1) is the order of the minima

In this problem we have:

is the separation between the slits

is the wavelength of light

D = 2.14 m is the position of the screen

So, distance of the first dark fringe (m=0) from the central maximum is

On the other side, the distance of the second dark fringe (m=1) from the central maximum is

Therefore, the  distance between the two dark fringes is:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: