Ask question

Ask question

All categories

3 years ago

12

A beam of unpolarized light shines on a stack of five ideal polarizers, set up so that the angles between the polarization axes

of pairs of adjacent polarizers are all equal. The intensity of the transmitted beam is reduced from the intensity of the initial beam by a factor of phi=0.277 . Find the angle theta between the axes of each pair of adjacent polarizers.

1 answer:

ddd [48]3 years ago

7 0

Answer:

$21.75$

Explanation:

$n$ = number of polarizers through which light pass through = 5

$\theta$ = Angle between each pair of adjacent polarizers

$I_{o}$ = Intensity of unpolarized light

$I_{n}$ = Intensity of transmitted beam after passing all polarizers

It is given that

$\frac{I_{n}}{I_{o}}= 0.277$

we know that the intensity of light after passing through "n" polarizers is given as

$I_{n} = (0.5) I_{o} Cos^{2n-2}\theta$

$\frac{I_{n}}{I_{o}} = (0.5) Cos^{2n-2}\theta$

inserting the values

$0.277 = (0.5)Cos^{2(5)-2}\theta$

$0.554 = Cos^{8}\theta$

$Cos\theta = 0.9288$

$\theta = Cos^{-1}(0.9288)$

$\theta = 21.75$

You might be interested in

When a metal reacts with a non-metal it forms what???

Snezhnost [94]

Answer:

When metals react with non-metals, electrons are transferred from the metal atoms to the non-metal atoms, forming ions. The resulting compound is called an ionic compound.

:

5 0

3 years ago

True or false is Conservation of monestum is the same as Conservation of energy

fiasKO [112]

Answer:

Conservation of Energy: the total energy of the system is constant. Conservation of Momentum: the mass times the velocity of the center of mass is constant. Conservation of Angular Momentum: The total angular momentum of the system is constant.

Explanation:

none

3 0

3 years ago

A 1300-turn coil of wire that is 2.2 cm in diameter is in a magnetic field that drops from 0.11 T to 0 {\rm T} in 12 ms. The axi

KiRa [710]

Answer:

The induced voltage is $\epsilon = 4.53 \ V$

Explanation:

From the question we are told that

The number of turns is $N = 1300 \ turns$

The diameter is $d = 2.2 \ cm =0.022 \ m$

The initial magnetic field is $B_i = 0.11 \ T$

The final magnetic field is $B_f = 0 \ T$

The time taken is $t = 12 \ ms = 12*10^{-3} \ s$

The radius is mathematically evaluated as

$r = \frac{d}{2}$

substituting values

$r = \frac{0.022}{2}$

$r = 0.011 \ m$

Generally the induced emf is mathematically represented as

$\epsilon = - N * \frac{d\phi}{dt}$

Where $d\phi$ is the change in magnetic flux of the wire which is mathematically represented as

$d \phi = dB* A * cos \theta$

=> $d \phi = (B_f - B_i )* A * cos \theta$

Here $\theta = 0$

since the axis of the coil is parallel to the field

Where A is the cross-sectional area of the coil which is mathematically represented as

$A = \pi * r^2$

$A = 3.142 * 0.011^2$

$A = 3.80*10^{-4} \ m^2$

So the induced emf

$\epsilon = - 1300 * \frac{(0- 0.11) * 3.80*10^{-4}}{12*10^{-3}}$ Here we substituted the values of $d \phi$

$\epsilon = 4.53 \ V$

6 0

3 years ago

When you drop a strong magnet through the center of a copper pipe, what happens to the copper piper and the magnet?

Sedbober [7]

Copper is; unlike iron and steel; not ferromagnetic, but diamagnetic. This means that induced magnetic fields in copper will counter the applied force.

When you drop a strong magnet through a copper pipe, the moving magnetic field will induce currents (Lenz’ Law). These currents will now induce their own magnetic field. This magnetic field counters the falling magnetic.

Result: the magnet will fall way slower than if it was falling through a plastic pipe.

8 0

3 years ago

Represent a vector of 100 N in North-East direction

andreyandreev [35.5K]

Answer:

please find the attachment to this question.

Explanation:

In this question, we represent the 100N in the North-East direction, but first, we define the vector representation:

It is generally represented through arrows, whose length and direction reflect the magnitude and direction of the arrow points. In this, both size and direction are necessary because the magnitude of a vector would be a number that can be compared to one vector.

Please find the attachment:

8 0

3 years ago