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vodomira [7]
3 years ago
10

Bobby places a 4.75 cm tall light bulb a distance of 33.2 cm from a concave mirror. If the mirror has a focal length of 28.2, th

en what is the image height and image distance?
Physics
2 answers:
Bumek [7]3 years ago
6 0

Explanation:

Height of the light bulb, h = 4.75 cm

Distance between the light bulb and the concave mirror, u = -33.2 cm

Focal length of the mirror, f = -28.2 cm (negative always)    

Let v is the distance between the image and the light bulb. It can be calculated as :

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

\dfrac{1}{v}=\dfrac{1}{-28.2}-\dfrac{1}{-33.2}  

v = -187.24 cm

So, the image distance from the mirror is 187.24 cm.  

The magnification of the mirror is given by :

m=\dfrac{-v}{u}

or

m=\dfrac{h'}{h}, h' is the size of image  

\dfrac{-v}{u}=\dfrac{h'}{h}

\dfrac{-(-187.24)}{-33.2}=\dfrac{h'}{4.75}              

h = -26.78 cm

So, the height of the image is 26.78 cm and it is inverted. Hence, this is the required solution.

Fittoniya [83]3 years ago
3 0
The image distance can be determined using the mirror equation: 1/f = 1/d_o + 1/d_i, where, f is the focal length, d_o is the object distance, and d_i is the image distance. Given that f = 28.2 and d_o = 33.2 cm, the value of d_i is calculated to be 187.248 cm. On the other hand, the image height is obtained using the magnification equation wherein, h_i/h_o = -d_i/d_o, where h_i is the image height and h_o is the object height. Using the given values, h_i is equal to -26.79 cm. Note that the negative sign indicates that the image is inverted. 
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3 years ago
If pressure is increased from 200 kPa to 300 kPa, and the original volume of gas was 1.5 L, what is the new volume? Assume the t
Oxana [17]

Answer:

The answer to your question is:      V2 = 1 l

Explanation:

Data

P1 = 200 kPa

P2 = 300 kPa

V1 = 1.5 l

V2 = ?

Formula

                          P1V1 = P2V2

                          V2 = (P1V1) / P2

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6 0
3 years ago
You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -61.0 units. A) Assuming the x co
kvasek [131]

Answer:

A) magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units

B)22.5° (clockwise form -ve X axis)

Explanation:

given vector = V1 = x i - 60 j

magnitude of V1 = 90

x - component can be found out by resultant formula

90^2 = x^2 + (-60)^2

x = 67.08 = 67.1 units (3sf)

FOR THE VECTOR 80 UNITS IN -VE X DIRECTION

The X component is -80-------(1)

The Y component is 0 ---------(2)

<u>For the x- component of new added vector:</u>

(1)----------- x + 67.1 = -80

x = -147.1 = -147.1

<u>For the y- component of new added vector:</u>

<u>(</u>2)---------- y - 61  = 0

y = 61.0 (3sf)

the new added vector is  = -147.1 i + 61 j

magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units

direction = arctan (61 / 147.1)

               = 22.5° (clockwise form -ve X axis)

<u />

4 0
3 years ago
the half-life of iodine-131 is 8.1 days. how much time had passed if i only have one-fourth of the original sample?​
morpeh [17]

Answer:

16.2 days

Explanation:

Find the number of halflives:

1/2   *  1/2 =  1/4     so <u>two</u>   halflives have passed

   2 * 8.1 days = 16.2 days

8 0
1 year ago
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