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Standard VI
Mathematics
Smallest and the Greatest Number
16. A-higher ...
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16. A-higher is the accuracy if smaller is the least count R- smaller the percentage error higher is the accuracy Is the reason explaining assertion??
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Assertion :A screw gauge having a smaller value of pitch has greater accuracy. Reason: The least count of screw gauge is directly proportional to the number of divisions on circular scale.
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Assertion :The number of significant figures depends on the least count of measuring instrument. Reason: Significant figures define the accuracy of measuring instrument.
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A rectangular metal slab of mass
33.333
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has its length 8.0 cm, breadth 5.0 cm and thickness 1mm. The mass is measured with accuracy up to 1 mg with a sensitive balance. The length and breadth are measured with vernier calipers having the least count of 0.01 cm. The thickness is measured with a screw gauge of least count 0.01mm. The percentage accuracy in density calculated from the above measurements is :
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Q.
The period of oscillation of a simple pendulum is given by
T
=
2
π
√
l
g
, where
l
is about
100
cm
and is known to have
1
mm
accuracy. The period is about
2
s
. The time of
100
oscillations is measured by a stop watch of least count
0.1
s
. The percentage error in
g
is
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