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Test Index
Magnetism and Matter
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Section:
Physics
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© examsnet.com
Question : 10 of 75
Marks:
+1
,
-0
A bar magnet has total length
2
l
=
20
2 l = 20
2
l
=
20
units and the field point
P
P
P
is at a distance
d
=
10
d = 10
d
=
10
units from the centre of the magnet. If the relative uncertainty of length measurement is
1
%
1\%
1%
, then uncertainty of the magnetic field at point
P
P
P
is
[28 Jan 2025 Shift 2]
10
%
10\%
10%
5
%
5\%
5%
3
%
3\%
3%
4
%
4\%
4%
Validate
Solution:
👈: Video Solution
Magnetic field at
P
,
B
=
  
μ
0
4
Ï€
  
m
(
2
l
)
r
3
P, B = \;\frac{\mu_0}{4\pi} \;\frac{m(2l)}{r^3}
P
,
B
=
4
Ï€
μ
0
​
​
r
3
m
(
2
l
)
​
, where
m
m
m
is the pole strength
⇒
(
  
Δ
B
B
×
100
)
  
=
(
  
Δ
l
l
×
100
)
+
3
∣
  
Δ
r
r
∣
×
100
\Rightarrow \left( \;\frac{\Delta B}{B} \times 100 \right) \;= \left( \;\frac{\Delta l}{l} \times 100 \right) + 3\left| \;\frac{\Delta r}{r} \right| \times 100
⇒
(
B
Δ
B
​
×
100
)
=
(
l
Δ
l
​
×
100
)
+
3
​
r
Δ
r
​
​
×
100
  
=
1
%
+
3
%
=
4
%
\;=1\%+3\%=4\%
=
1%
+
3%
=
4%
© examsnet.com
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