The adjacent figure is the part of a horiz

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The adjacent figure is the part of a horizontally stretched net. section $AB$ is stretched with a force of $10 \,N$. The tensions in the sections $BC$ and $BF$ are

A

$10 \,N, 11\, N$

B

$10 \,N, 6\, N$

C

$10\, N, 10 \,N$

D

Can't calculate due to insufficient data

The adjacent figure is the part of a horizontally stretched net. section $AB$ is stretched with a force of $10 \,N$. The tensions in the sections $BC$ and $BF$ are

By drawing the free body diagram of point $B$

Let the tension in the section $BC$ and $BF$ are ${T_1}$ and ${T_2}$ respectively.
From Lami's theorem

$\frac{{{T_1}}}{{\sin 120^\circ }} = \frac{{{T_2}}}{{\sin 120^\circ }} = \frac{T}{{\sin 120^\circ }}$

$⇒$ $T = {T_1} = {T_2} = 10\;N.$