An object with a height of 0.3 meter is placed at a distance of 0.4 meter from a concave spherical mirror. An image with a heigh t of 0.1 meter is formed in front of the mirror. How far from the mirror is the image located?
2 answers:
We can use the magnification equation for this problem.
Magnification equation:
<em>hi/h0 = di/d0 </em>
Where in <em>hi </em>: image size, <em>h0 </em> : object size, <em>di </em>: image distance, <em>d0 </em>: object distance from mirror
So plugging in the given variables we will have the corresponding equation
0.1 m / 0.3 m = <em>di / </em>0.4 m
<em>di</em> = 0.1333333m
The generated image of the object is located 0.13 meters or 13 cm away from the mirror
Answer:
{"version":"1.1","math":"(\frac{h_i}{h_o} =\frac{s_i}{s_o})"}
{"version":"1.1","math":"(\frac{0.1\text{ m}{0.3\text{ m} =\frac{s_i}{0.4\text{ m})"}
Multiply each side of this equation by 0.4.
{"version":"1.1","math":"0.4 \times \left(\frac{0.1}{0.3}=\frac{s_i}{0.4}\right)\times 0.4"}
{"version":"1.1","math":"s_i=\frac{0.4}{0.3}"}
si = 0.133 m
Explanation:
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