/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q55P In Fig. 33-55, a 2.00″¾Â long ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In Fig. 33-55, a 2.00″¾long vertical pole extends from the bottom of a swimming pool to a point 50.0cmabove the water. Sunlight is incident at angle θ=55.0°. What is the length of the shadow of the pole on the level bottom of the pool?

Short Answer

Expert verified

The length of the shadow of the pole on the level bottom of the pool is 1.07″¾

Step by step solution

01

Given

Angle of incidence θ=550

l1=0.50″¾l2=1.50″¾

02

Understanding the concept

We can use Snell’s law to find the angle of refraction. Then using the geometry of the figure, we can find the length of the shadow of the pole on the level bottom of the pool.

Formula:

n1sinθ1=n2sinθ2

03

Calculate the length of the shadow of the pole on the level bottom of the pool

Ray diagram for the given problem:

According to Snell’s law,

n1sinθ1=n2sinθ2

But, here

θ1=90−θ=900−550=350

θ2=sin−1n1sin θ1n2θ2=sin−1(1.0)sin 3501.33θ2=25.550

Now, from the figure,

x=l1tan θ1x=(0.50 m)tan 350x=0.35″¾

And,

L=l2tan θ2L=(1.50″¾)tan 25.550L=0.717~0.72″¾

Therefore, the total length of the shadow is

x+L=0.35″¾+0.72″¾x+L=1.07″¾

Therefore, the length of the shadow of the pole on the level bottom of the pool is 1.07″¾

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The magnetic component of an electromagnetic wave in vacuum has an amplitude of 85.8 n°Õand an angular wave number of 4.00m-1.What are (a) the frequency of the wave, (b) the rms value of the electric component, and(c) the intensity of the light?

Question: (a) At what angle of incidence will the light reflected from water be completely polarized? (b) Does this angle depend on the wavelength of the light?

In Fig. 33-65, a light ray enters a glass slab at point A at an incident angle θ1=45.0°and then undergoes total internal reflection at point B. (The reflection at A is not shown.) What minimum value for the index of refraction of the glass can be inferred from this information?

During a test, a NATO surveillance radar system, operating at 12GHzat180kW of power, attempts to detect an incoming stealth aircraft at90km.Assume that the radar beam is emitted uniformly over a hemisphere. (a) What is the intensity of the beam when the beam reaches the aircraft’s location? The aircraft reflects radar waves as though it has a cross-sectional area ofonly0.22m2.(b) What is the power of the aircraft’s reflection? Assume that the beam is reflected uniformly over a hemisphere. Back at the radar site, what are (c) the intensity, (d) the maximum value of the electric field vector, and (e) the rms value of the magnetic field of the reflected radar beam?

Question: In Fig. 33-58, light from rayArefracts from material 1(n1=1.60)into a thin layer of material 2(n2=1.80) , crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 .(a) What is the value of incident angle θA ? (b) If θA is decreased, does part of the light refract into material 3 ? Light from ray B refracts from material 1into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angleθB ? (d) IfθB is decreased, does part of the light refract into material 3 ?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.