In the determination of Young's modulus 
by using Searle's method, a wire of
length 
m and diameter 
is used. For a load 
and extension 
in the length of the wire is observed. Quantities 
and 
are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the 
measurement are
A
Due to the errors in the measurements of 
and l are the same.
and l are the same. B
Due to the error in the measurement of 
is twice to that of the error in the measurement of 
.
is twice to that of the error in the measurement of . C
Due to the error in the measurement of 
is twice to that of the error in the measurement of 
.
is twice to that of the error in the measurement of . D
Due to the error in the measurement of 
is four time to that of the error in the measurement of 
.
is four time to that of the error in the measurement of .
Text Solution
Verified by ExpertsThe correct answer is:
B
Here, Young's modulus 
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