Three equal weight `A,B` and `C` of mass `2kg` each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights `B` and `C` is approximately

Options

A. `(2000)/(3)N`
B. `(400)/(3) N`
C. 100 N
D. `(200)/(3) N`

Answer

D

Explanation

for A: `T_(1)-10 g=10a`
For B: `T_(2)+10 g-T_(1)=10 a`
for C: `10g-T_(2)=10a`
From (i),(ii) and (iii)

`T_(2)=200/3 N`.