A faulty thermometer has its upper and lower fixed points marked as 104°C and −4°C,respectively. What is the correct temperature if the above thermometer reads 32°C?
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Answer:
Explanation:
Use the following relation
(
S
−
L
E
P
U
F
P
−
L
F
P
)
Faulty scale
=
(
S
−
L
F
P
U
F
P
−
L
F
P
)
Correctscale
Substituting
(
S
−
L
F
P
U
F
P
−
L
F
P
)
Faulty scale
=
[
32
−
(
−
4
)
104
−
(
−
4
)
]
=
36
108
=
1
3
(1)
and
(
S
−
L
F
P
U
F
P
−
L
F
P
)
Correct scale
=
S
−
0
100
−
0
S
100
(2)
Equating and solving (1) and (2), we get
S
100
=
1
3
⇒
S
=
100
3
=
33.33
∘
C
(approximately)
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