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Byju's Answer
Standard XII
Physics
Free Body Diagrams
Find the rati...
Question
Find the ratio of the tension
T
1
and
T
2
in the string as shown in the figure. Take
g
=
10
m/s
2
.
A
4
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B
1.5
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C
1
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D
2
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Solution
The correct option is
D
2
Mass of block,
m
=
8
kg
Resolving the tension
T
1
along horizontal (
x
) and vertical direction (
y
).
Applying the condition of equilibrium on the block in
x
and
y
direction
∑
F
x
=
0
⇒
T
2
=
T
1
cos
60
∘
.
.
.
(
1
)
⇒
T
2
T
1
=
1
2
∴
T
1
T
2
=
2
ALTERNATIVE:
∑
F
y
=
0
⇒
T
1
sin
60
∘
=
80
N
.
.
.
(
2
)
⇒
T
1
=
160
√
3
⇒
T
2
=
T
1
cos
60
∘
=
80
√
3
∴
T
1
T
2
=
2
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1
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