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However, unlike ethanol, methanol is highly toxic and unfit for consumption. Methanol when drunk is metabolized first to formaldehyde and then to formic acid or formate salts. These are poisonous to the central nervous system and may result in blindness, coma, and death.
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Magnification = Image distance / Object distance
In this case :
Let the magnification in the first case be x.
The magnification in the second case will be 3x.
The mirror formula is :
1/u + 1/v = 1/f
The first case
Magnification = x
Object distance = 25 cm
Image distance = Object distance × Magnification
= 15x cm
Now :
1/15 + 1/15 x = 1/f
Lcm = 15x
Solving we have :
(1 + x)/15x = 1/f
f = 15x/(1 + x)
Second case
Object distance = 9 cm
magnification = 3x
Image distance = 27x cm
1/9 + 1/27x = 1/f
Lcm = 27x
(3x + 1)/27x = 1/f
f = 27x/(3x + 1)
Since we have two values of f we can equate them as follows:
27x/(3x + 1) = 15x/(x + 1)
Solving for x we have :
27x(x + 1) = 15x(3x + 1)
27x² + 27x = 45x² + 15x
Collecting like terms together
45x² - 27x² = 27x - 15x
18x² = 12x
Divide through by x
18x = 12
x = 12/18
x = 2/3
Substitute to get f:
f = (27 × 2/3)/(3 × 2/3 + 1)
f = 18/3
= 6 cm
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Sumesh ☺️☺️☺️ 5 years, 1 month ago
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