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Physics
Physics
Problem
Three charges each of
+
1
C
+1\text{C}
+
1
C
are placed at
(
1
,
0
,
0
)
(1, 0, 0)
(
1
,
0
,
0
)
,
(
2
,
1
,
1
)
(2, 1, 1)
(
2
,
1
,
1
)
and
(
3
,
0
,
0
)
(3, 0, 0)
(
3
,
0
,
0
)
, then force on the charge placed at
(
1
,
0
,
0
)
(1, 0, 0)
(
1
,
0
,
0
)
is (a)
−
9
×
10
9
[
i
^
(
1
3
3
+
1
8
)
+
j
^
+
k
^
]
-9 \times 10^9 \left[ \hat{i} \left( \frac{1}{3\sqrt{3}} + \frac{1}{8} \right) + \hat{j} + \hat{k} \right]
−
9
×
1
0
9
[
i
^
(
3
3
1
+
8
1
)
+
j
^
+
k
^
]
(b)
−
9
×
10
9
[
i
^
(
1
3
3
+
1
4
)
+
j
^
+
k
^
3
3
]
-9 \times 10^9 \left[ \hat{i} \left( \frac{1}{3\sqrt{3}} + \frac{1}{4} \right) + \frac{\hat{j} + \hat{k}}{3\sqrt{3}} \right]
−
9
×
1
0
9
[
i
^
(
3
3
1
+
4
1
)
+
3
3
j
^
+
k
^
]
(c)
−
9
×
10
9
[
i
^
(
1
3
3
−
1
8
)
+
j
^
+
k
^
]
-9 \times 10^9 \left[ \hat{i} \left( \frac{1}{3\sqrt{3}} - \frac{1}{8} \right) + \hat{j} + \hat{k} \right]
−
9
×
1
0
9
[
i
^
(
3
3
1
−
8
1
)
+
j
^
+
k
^
]
(d) None of these
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