A thin flashlight beam traveling in air strikes a glass plate at an angle of 52° with the plane of the surface of the plate. If the index of refraction of the glass is 1.4, what angle will the beam make with the normal in the glass?

Answers

Answer 1
Answer:

To solve this problem it is necessary to apply Snell's law and thus be able to calculate the angle of refraction.

From Snell's law we know that

n_1sin\theta_1 = n_2 sin\theta_2

Where,

n_i = Refractive indices of each material

\theta_1 = Angle of incidence

\theta_2 = Refraction angle

Our values are given as,

\theta_1 = 38\°

n_1 = 1

n_2 = 1.4

Replacing

1*sin38 = 1.4*sin\theta_2

Re-arrange to find \theta_2

\theta_2 = sin^(-1) (sin38)/(1.4)

\theta_2 = 26.088°

Therefore the  angle will the beam make with the normal in the glass is 26°


Related Questions

Kate, a bungee jumper, wants to jump off the edge of a bridge that spans a river below. Kate has a mass m, and the surface of the bridge is a height h above the water. The bungee cord, which has length L when unstretched, will first straighten and then stretch as Kate falls. Assume the following: The bungee cord behaves as an ideal spring once it begins to stretch, with spring constant k. Kate doesn't actually jump but simply steps off the edge of the bridge and falls straight downward. Kate's height is negligible compared to the length of the bungee cord. Hence, she can be treated as a point particle. Use g for the magnitude of the acceleration due to gravity.
A circular loop of wire has radius 7.80cm . A sinusoidal electromagnetic plane wave traveling in air passes through the loop, with the direction of the magnetic field of the wave perpendicular to the plane of the loop. The intensity of the wave at the location of the loop is 2.03�10?2W/m2 , and the wavelength of the wave is 6.20m .What is the maximum emf induced in the loop? Express your answer with the appropriate units.I stumbled through the formulas I do know for EMF but cant seem to figure out how to get the right answer. Please help and provide explanation! Thanks
Experts in model airplanes develop a supersonic plane to scale, it moves horizontally in the air while it is conducting a flight test. The development team defines that the space that the airplane travels as a function of time is given by the function: e (t) = 9t 2 - 6t + 3 Determine what acceleration the scale airplane has (Second derivative).
When UV light of wavelength 248 nm is shone on aluminum metal, electrons are ejected withmaximum kinetic energy 0.92 eV. What maximum wavelength of light could be used to ejectelectrons from aluminum
Which if, any, of these statements are true? (More than one may be true.) Assume the batteries are ideal. Check all that apply. A battery supplies the energy to a circuit. A battery is a source of potential difference; the potential difference between the terminals of the battery is always the same. A battery is a source of current; the current leaving the battery is always the same.

If you hang a car of mass 1560 kg from a steel beam, the beam bends with an angle of 0.055°. What is the tension in this beam in newtons?

Answers

Answer:

The tension in the steel beam is 14.72 Newtons.

Explanation:

To calculate the tension in the steel beam when a car is hanging from it, you can use the principles of static equilibrium. In this situation, the gravitational force acting on the car must be balanced by the tension in the steel beam.

First, let's calculate the gravitational force acting on the car:

F_gravity = mass × gravity

Where:

Mass (m) = 1560 kg

Gravity (g) ≈ 9.81 m/s² (standard acceleration due to gravity)

F_gravity = 1560 kg × 9.81 m/s² ≈ 15306 N

Now, this gravitational force is balanced by the tension in the steel beam. Since the beam bends with an angle of 0.055°, we need to consider the vertical component of the tension force.

The vertical component of the tension (T_vertical) can be calculated using trigonometry (considering the angle θ):

T_vertical = T × sin(θ)

Where:

T_vertical is the vertical component of tension.

T is the tension in the beam.

θ is the angle in radians.

We need to convert the angle from degrees to radians:

θ = 0.055° × (π/180) ≈ 0.000959 radians

Now, we can calculate T_vertical:

T_vertical = 15306 N × sin(0.000959) ≈ 14.72 N

So, the tension in the steel beam is 14.72 Newtons.

URGENT!!!!!! Assume that a wire has 1.5 ohms of resistance. If the wire is connected to two batteries with a total voltage of 3.0 V, how much current will flow through the wire? 3.0 amps 2.3 amps 2.0 amps 1.0 amps

Answers

Answer:

  2.0 amps

Explanation:

Current is the ratio of voltage to resistance:

  I = V/R = (3.0)/(1.5) = 2.0

The current in the wire is 2.0 amps.

A physics cart has a projectile launcher mounted on top. While traveling on a straight track at 0.500 m/s, a projectile is fired. It lands back in the same place on top of the launcher after the cart has moved a distance of 2.30 m. In the frame of reference of the cart, (a) at what angle was the projectile fired and (b) what was the initial velocity of the projectile? (c) What is the shape of the projectile as seen by an observer on the cart? A physics student is watching the demonstration from a classroom seat. According to the student, (d) what is the shape of the projectile’s path, and (e) what is its initial velocity?

Answers

Answer:

(a) 90^(\circ)

(b) Initial velocity of the projectile is 22.54 m/s

(c) Straight line perpendicular to the plane of the car's motion

(d) Parabolic

(e) The initial velocity is 23.04 m/s

Solution:

As per the question:

Velocity of the cart, v = 0.500 m/s

Distance moved by the cart, d = 2.30 m

Now,

(a) The projectile must be fired at an angle of 90^(\circ) so that it mounts on the top of the cart moving with constant velocity.

(b) Now, for initial velocity, u':

Time of flight is given by;

T = (D)/(v)                    (1)

where

T = Flight time

D = Distance covered

(b) The component of velocity w.r.t an observer:

Horizontal component, v_(x) = u'cos\theta

Vertical component, v_(y) = u'sin\theta - gT

Also, the vertical component of velocity at maximum height is zero, v_(y) = 0

Therefore, T = (u')/(g)      

Total flight time, (2u')/(g)                (2)

Now, from eqn (1) and (2):

u' = (gD)/(2v)

u' = (9.8* 2.30)/(2* 0.500) = 22.54 m/s  

(c) The shape of the projectile w.r.t an observer will be a straight line perpendicular to the plane of cart's motion.

(d) The shape of the path of the projectile seen by the physics student outside the reference frame of the cart is parabolic

(e) The initial velocity  is given by:

u = u' + v = 22.54 + 0.5 = 23.04 m/s

Light from a lamp is shining on a surface. How can you increase the intensity of the light on the surface? Light from a lamp is shining on a surface. How can you increase the intensity of the light on the surface? A. Use a lens to focus the power into a smaller area. B. Increase the power output of the lamp. C. Either A or B.

Answers

Answer:

the correct option is C

Explanation:

The intensity of a lamp depends on the power of the lamp that is provided by the current flowing over it, therefore the intensity would increase if we raise the current.

Another way to increase the intensity is to decrease the area with a focusing lens, as the intensity is power over area, decreasing the area increases the power.

When we see the possibilities we see that the correct option is C

A person is pushing a lawnmower of mass m D 38 kg and with h D 0:75 m, d D 0:25 m, `A D 0:28 m, and `B D 0:36 m. Assuming that the force exerted on the lawnmower by the person is completely horizontal and that the mass center of the lawnmower is at G, and neglecting the rotational inertia of the wheels, determine the minimum value of this force that causes the rear wheels (labeled A) to lift off the ground. In addition, determine the corresponding acceleration of the mower.

Answers

Answer:

The acceleration of the mower will be "4.7 m/s²".

Explanation:

Balance of vertical force will be:

⇒  Ra + Rb = mg

For wheel to take off at A,

⇒  Ra = 0

Hence,

Rb=mg

Balancing moments about G will be:

⇒  F* h = Rb* LB

As we know,

Force, F = (Rb* LB )/(h)

On putting the values, we get

⇒           = (38* 9.81* 0.36)/(0.75)

⇒           = 178.9 \ N

Now,

Acceleration, a = (F)/(m)

⇒                       = (178.9)/(38)

⇒                       = 4.7 \ m/s^2

Much of our knowledge of the interior of the Earth comes from the study of planetary vibrations, which is the science of

Answers

Answer:

Seismology.

Explanation:

  • Seismology is the beach of physical science that deals with the study of vibrations that comes out from the interior of the earth onto the surface and these vibrations are in the form of seismic waves that are primary, secondary, and surface waves.
  • The science of seismology tells about the magnitude and intensity of these waves that lead to planetary vibrations. These waves trigger earthquakes, floods, and even landslides.