A steel rod at
is observed to be
long when measured by another metal scale which is correct at
. The exact length of steel rod at
is (
and
)
Text Solution
Verified by ExpertsThe correct answer is:
B
As both steel rod and metal scale expands at
,
True value of length of rod at
Scale reading
Where,
coefficient of linear expansion

temperature at which observation is taken

and
temperature at which metre scale reads correctly

Substituting values in (i), we get
Length of rod at 

Now, if
length of steel rod at
and
length of steel rod at
, then we have

Substituting values, we have

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