1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
3 years ago
12

I have a combination of myopia and presbyopia—overall, the power of my visual system is too large, but I also have a very limite

d range of accommodation. My glasses have progressive lenses. The lenses are diverging lenses, with a negative power, but the magnitude of the power varies from a maximum at the top, for distance vision, to a minimum at the bottom, for close vision. With no correction, for my left eye, my near point is 15 cm, my far point is 20 cm. With my glasses on, my near point is about 25 cm, and my far point is infinity. What is the range of powers of the lens in my glasses?
Physics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:

The range of powers is    - 5 \ D \le P \le - 2.667\  D

Explanation:

From the question we are told that

       The far point of the left eye is n_f = 20 cm

       The near point of the left eye is  n =  15cm

       The near point with the glasses on is n_g =25 \ cm

     

From these parameter we can see that with the glass on that for near point the

         Object distance would be u = -25 \ cm

          Image distance would be  v =  -15 \ cm

To obtain the focal length we would apply the lens formula which is mathematically represented as

              \frac{1}{f} =  \frac{1}{v}  -  \frac{1}{u}

substituting values

              \frac{1}{f} =  \frac{1}{-15}  -  \frac{1}{-25}

               f =  - \frac{75}{2} cm

           converting to  meters

               f =  - \frac{75}{2} * \frac{1}{100}

               f =  - \frac{75}{200} \ m

   Generally the power of the lens is mathematically represented as

                P  = \frac{1}{f}

Substituting values

                 P = -  \frac{200}{75}  m

                 P = - 2.667 \ D

   

From these parameter we can see that with the glass on that for far  point the

         Object distance would be u_f = - \infty \ cm

          Image distance would be  v_f =  -20  \ cm

To obtain the focal length of the lens we would apply the lens formula which is mathematically represented as

                    \frac{1}{f_f} =  \frac{1}{v_f}  -  \frac{1}{u_f}

substituting values

                  \frac{1}{f} =  \frac{1}{-20}  -  \frac{1}{- \infty}

                 \frac{1}{f} =  \frac{1}{-20}  -  0      

                  f_f =  \frac{20}{1}  \ cm

converting to  meters

                f_f =  - \frac{20}{1}  * \frac{1}{100}

               

Generally the power of the lens is mathematically represented as

                P  = \frac{1}{f_f}

Substituting values

                 P = -  \frac{100}{20}  m

                 P = - 5 \ D

This implies that the range of powers of the lens in his glass is

                  - 5 \ D \le P \le - 2.667\  D

   

               

               

           

You might be interested in
Three forces are applied to an object, as shown in the diagram below. F1 = 30 N, F2 = 34 N, F3 = 20 N, d1 = 25 mm, d2 = 20 mm, d
lianna [129]
Torque of F1 = 30*0.025 = 0.75Nm anticlockwise
Torque of F2 = 34 * 0.020 = 0.68Nm clockwise
Horizontal component of F3:
cos 50 = x/20
x = 12.856 N

Torque of F3 horizontal component = 12.856 * 0.01 = 0.129Nm anticlockwise

0.129 + 0.75 - 0.68 = 0.199Nm anticlockwise

sorry I'm not sure is it correct
7 0
2 years ago
1. The Moon's mass is 7.34 x 1022 kg, and it is 3.8 x 105 km away from Earth. Earth's
sineoko [7]

Answer:

2.03 x 10²⁴N

Explanation:

Given parameters:

Mass of moon = 7.34 x 10²²kg

Mass of the earth  = 5.97 x 10²⁴kg

Distance  = 3.8 x 10⁵km

Unknown:

Gravitational force of attraction  = ?

Solution:

To find the gravitational force of attraction between the masses, we use the expression below;

   F = \frac{Gm_{1} m_{2}  }{r^{2} }

G is the universal gravitation constant

m is the mass

1 and 2 represents moon and earth

r is  the distance

  F = \frac{6.67 x 10^{-11}  x 7.34 x 10^{22} x 5.97 x 10^{24}  }{(3.8 x 10^{5})^{2}  }

 F = \frac{2.92 x 10^{35} }{1.44 x 10^{11} }  = 2.03 x 10²⁴N

8 0
2 years ago
Which formation is one feature of karst topography?
steposvetlana [31]
Karst is a topography formed from the dissolution of soluble rocks such as limestone, dolomite, and gypsum. It is characterized by underground drainage systems with sinkholes and caves. It has also been documented for more weathering- resistant rocks, such as quartzite, given the right conditions.
8 0
2 years ago
Read 2 more answers
A light bulb whose resistance is 240 ohms is connected to a 120 voltage source. What is the current through the bulb?
Sedaia [141]

Answer:

0.5A

Explanation:

Using R = \frac{V}{I},

R is the resistance (in Ohms)

V is the voltage (in V)

I is the current (in A)

240=\frac{120}{I}

I = 0.5A

7 0
2 years ago
The standard measure used to compare sound intensities is the ______ .
uranmaximum [27]
The answer is Decibels. <span />
4 0
2 years ago
Read 2 more answers
Other questions:
  • A graph of Boyle’s law shows the relationship between
    11·1 answer
  • Will give brainliest!
    8·1 answer
  • Last night, Shirley worked on her accounting homework for one and one half hours. During that time, she completed 6 problems. Wh
    11·2 answers
  • Object A has of mass 7.20 kilograms, and object B has a mass of 5.75 kilograms. The two objects move along a straight line towar
    14·2 answers
  • A controlled scientific investigation determines the effect of a(n) _______ variable in an experiment.
    8·1 answer
  • A car of mass 2000 kg is thrusted forward with an engine force of 2000 N and a total frictional
    12·1 answer
  • A runner of 60kg accelerates at 2.0 m/s at the start of race calculate the force provided from her legs
    7·1 answer
  • Explain the difference between potential energy, kinetic energy, and mechanical energy?
    11·1 answer
  • Nearly all scientists agree that fossil fuels will be used up in a few decades.
    11·2 answers
  • While in Earth's orbit, an 80-kg astronaut carrying a 20-kg tool kit is initially drifting toward a stationary space shuttle at
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!