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Class 11
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>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
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Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
Y(y + 4) - y2 = 6
y2 + 4y - y2 = 6
4y = 6 ⇒ False
For 12 divided by 587, I got 0.02044293.
For 587 divided by 12, I got 48.9166666666666.
I hope this helps.
The difference between consecutive integers is 1.
Let x = smaller integer.
Then x + 1 is the next greater consecutive integer.
x(x + 1) = 132
x^2 + x - 132 = 0
(x + 12)(x - 11) = 0
x + 12 = 0 or x + 11 = 0
x = -12 or x = -11
Since x is the smaller of the two integers, the answers are:
-12, -11
11, 12
There are two pairs of such integers.