/*! 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} Q31P Millimetre-wave radar generates ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 36: Q31P (page 1111)

Millimetre-wave radar generates a narrower beam than conventional microwave radar, making it less vulnerable to antiradar missiles than conventional radar. (a) Calculate the angular width 2胃of the central maximum, from first minimum to first minimum, produced by a 220 GHz radar beam emitted by a 55.0-cm diameter circular antenna. (The frequency is chosen to coincide with a low-absorption atmospheric 鈥渨indow.鈥�) (b) What is 2胃 for a more conventional circular antenna that has a diameter of 2.3 m and emits at wavelength 1.6 cm?

Short Answer

Expert verified

(a) The angular width2胃 of the central maximum is0.346掳 .

(b) The value of2胃 for a more conventional circular antenna is 0.97掳.

Step by step solution

01

Concept/Significance of first minima in diffraction pattern

The angle corresponding to the first minima in diffraction pattern is given by,

sin胃=1.22位d胃=sin-1(1.22位d) 鈥�.. (1)

02

(a) Find the angular width 2θ of the central maximum

Find the wavelength as follows.

位=cf=3脳108220脳109=1.36脳10-3m

Substitute 0.55mfor d and1.36脳10-3m for 位in equation (1).

胃=sin-11.221.36脳10-3m0.55m胃=sin-13.0167脳10-3胃=0.17282胃鈮�0.346掳

Therefore, the angular width 2胃of the central maximum is 0.346掳.

03

(b) Find the value of for a more conventional circular antenna

Substitute2.3m for d and 1.6脳10-2mfor 位in equation (1).

胃=sin-11.221.6脳10-2m2.3m胃=sin-18.487脳10-3胃=0.486掳2胃鈮�0.97掳

Therefore, the value of 2胃for a more conventional circular antenna is 0.97掳.

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 91影视!

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

What is the smallest Bragg angle for x rays of wavelength 30 pm to reflect from reflecting planes spaced 0.30 nm apart in a calcite crystal?

In a single-slit diffraction experiment, what must be the ratio of the slit width to the wavelength if the second diffraction minima are to occur at an angle of 37.0掳 from the center of the diffraction pattern on a viewing screen?

An astronaut in a space shuttle claims she can just barely resolve two point sources on Earth鈥檚 surface, 160 km below. Calculate their (a) angular and (b) linear separation, assuming ideal conditions. Take 位 = 540 nm and the pupil diameter of the astronaut鈥檚 eye to be 5.0 mm.

(a) Show that the values of a at which intensity maxima for single-slit diffraction occur can be found exactly by differentiating Eq. 36-5 with respect to a and equating the result to zero, obtaining the condition tan伪=伪. To find values of a satisfying this relation, plot the curve y=迟补苍伪 and the straight line y=伪 and then find their intersections, or use 伪calculator to find an appropriate value of a by trial and error. Next, from 伪=(m+12)蟺, determine the values of m associated with the maxima in the singleslit pattern. (These m values are not integers because secondary maxima do not lie exactly halfway between minima.) What are the (b) smallest and (c) associated , (d) the second smallest 伪(e) and associated , (f) and the third smallest (g) and associated ?

For three experiments, Fig.36-31 gives the parameter of Eq. 36-20 versus angle in two-slit interference using light of wavelength 500 nm. The slit separations in the three experiments differ. Rank the experiments according to (a) the slit separations and (b) the total number of two slit interference maxima in the pattern, greatest first.
See all solutions

Recommended explanations on Physics Textbooks

Classical Mechanics

Read Explanation

Oscillations

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Particle Model of Matter

Read Explanation

Turning Points in Physics

Read Explanation

Scientific Method Physics

Read Explanation
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.