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A reflection telescope is build with a 20cmdiameter mirror having a 1.00mfocal length. it is used with a 10Xeyepiece. what are

(a) the magnification and

(b) the f-numberof the telescope?

Short Answer

Expert verified

(a) 42km/s,

(b)1800km/s.

Step by step solution

01

part (a) Step 1: Given information

reflection telescope = 20cm

focallength=1.00m

using with a 10x eyepiece we need to find magnification

02

part (a) Step 2: simplify

Since the energy is conserved, all the energy due to the potential drop will be converted to kinetic energy

This means that

q∆V=mv22

from this, we can find the speed of the particles to be

ν=2q∆Vm

The absolute value of the charges will be the same, e. Also, the product e∆Vwill not change the sign since to accelerate two opposite charges we will have to apply opposite polarity accelerating potential differences. having said that we will numerically have

for the case of the portion

ν=2.1.6.10-19.9.1.67.10-27=4.2.104m/s

03

part (b) Step 3: Given information

reflection telescope = 20cm

focallength=1.00m

using with a10Xeyepiece we need to find f-numberof the telescope

04

Calculation

For the case of the electrons

ν=2.1.6.10-19.99.1.10-31=1.8.106m/s

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