Question

Hey, I have a question with 2 parts that I am not sure how to do. Thank you!

Answer 1

Is there a screenshot of it or something?

Answer 2

What's the Question(s), So we can help you.

Answer 3

Is there a image or something you can provide?

Answer 4

There offline.

Answer 5

A 3.0 cm lighted candle is placed 20 cm from a concave spherical mirror with a radius of curvature of 30 cm.
(a)
Where should a screen be placed (in cm) in order to see the candle's image clearly? (Give your answer as a distance from the center of the mirror.)

Answer 6

sorry I had to handle something. I am back online

Answer 7

Ok

Answer 8

so what do I do for the problem

Answer 9

@vocaloid

Answer 10

A 3.0 cm lighted candle is placed 20 cm from a concave spherical mirror with a radius of curvature of 30 cm. (a) Where should a screen be placed (in cm) in order to see the candle's image clearly? (Give your answer as a distance from the centre of the mirror.)


So, were given that the mirror is a concave spherical mirror, which means that the formula for it would be \( \frac{1}{F}=\frac{1}{U_{\ell}}+\frac{1}{V} \)

where: \(\large\mathcal{r} _{i}\) \(= -30cm\)
\( U_{\ell} =-20cm\)
\( F=\frac{r_{c}}{2}=-\frac{30cm}{2}=-15cm \)

plugging what we have into the formula we would get:

\( - \frac{1}{15cm}=-\frac{1}{ 20cm }+\frac{1}{V} \)

find the LCM:
\( -\frac{1}{15cm}\times\:60v=-\frac{1}{20cm}\times\:60v+\frac{1}{v}\cdot \:60v \)

\( -4v(cm)=-3v(cm)+60 \)

\( -4v(cm)+3v(cm)=60 \)

\( -v(cm)=60 \)

\( \boxed{ v=-60(cm) }\)

Looking at the answer, we can say that the screen should be settled \( 60cm \) AWAY from the centre of the candle to see a clear image of it.

Answer 11

thank you
What is the minimum height (in cm) of the screen in order to see the candle's complete image?

what about this?

Answer 12

minimum height (in cm) of the screen in order to see the candle's complete image basically means the magnification.

the formula for that is: \( \mathrm{m_{ag}}=\frac{\mathrm{h}^{\prime}}{\mathrm{h}}=-\frac{\mathrm{v}}{\mathrm{u}} \)

can you work out the answer?

Answer 13

so is 60 the v?

Answer 14

trying to figure out all of the letters lol but then it will be easy to plug in

Answer 15

its always NEGATIVE.

so \( V=\color{red}{-}60cm \)

Answer 16

what is u?

Answer 17

like what does it represent

Answer 18

That's a bit rude for me to solve a problem, and the asker not to know what I even did.

\(U\) is the distance ( \(\ell\) ) between the object and the mirror.

Answer 19

oh nevermind I see it now sorry I think I may have it

Answer 20

okay so it would be -60/20 correct? Isn't h'/h supposed to equal the -60/20 as well? If that's the case, I have 3 as an answer but the program says that answer is wrong

Answer 21

I reckon it's supposed to be negative 3cm.

Answer 22

I tried that as well

Answer 23

maybe try 2 and put the 30 in the 20s place?

Answer 24

It isn't 2 either

Answer 25

I figured it out. It's 9 because we are figuring out the screen height. Both sides must equals 3.

Answer 26

sweetas!