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Standard XII
Physics
Question
At what temperature, the Celsius and Fahrenheit scales will read the same ?
−
10
o
C
10
o
C
40
o
C
−
40
o
C
A
−
10
o
C
B
−
40
o
C
C
10
o
C
D
40
o
C
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Solution
Verified by Toppr
The formulas for converting between degree Celsius and degree Fahrenheit are:
°
F
=
(
°
C
∗
9
/
5
)
+
32
°
C
=
(
°
F
−
32
)
∗
5
/
9
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.
°
C
=
(
°
C
∗
9
/
5
)
+
32
°
C
−
(
°
C
∗
9
/
5
)
=
32
−
4
/
5
∗
°
C
=
32
°
C
=
−
32
∗
5
/
4
°
C
=
−
40
°
F
=
(
°
F
∗
9
/
5
)
+
32
°
F
−
(
°
F
∗
9
/
5
)
=
32
−
4
/
5
∗
°
F
=
32
°
F
=
−
32
∗
5
/
4
°
F
=
−
40
So the temperature when both the Celsius and Fahrenheit scales are the same is
−
40
d
e
g
r
e
e
s
.
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At what temperature, the Celsius and Fahrenheit scales will read the same ?
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