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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Laws of Motion

BITSAT 2021 · Physics · Laws of Motion

A body of weight 2 kg is suspended as shown in the figure. The...

A body of weight 2kg2 \mathrm{ kg} is suspended as shown in the figure. The tension T1\mathrm{T}_{1} in the horizontal string (in kg\mathrm{kg} wt ) is A body of weight 2 kg is suspended as shown in the figure. The tension T_ 1 in the horizontal string (in kg wt ) is

Options

  1. A23\frac{2}{\sqrt{3}}
  2. B32\frac{\sqrt{3}}{2}
  3. C232 \sqrt{3}
  4. D22

Correct answer

C. 232 \sqrt{3}

Step-by-step solution

The tension in the above string can be divided into two components where the component opposite to weight will balance the weight while the component of this tension opposite to (T1\mathrm{T}_{1}) will be equal to (T1\mathrm{T}_{1}). (Tsin⁡θ=\mathrm{T} \sin \theta=2  kgwt\mathrm{~kg} \mathrm{wt}) (Tcos⁡θ=T1\mathrm{T} \cos \theta=\mathrm{T}_{1}) The first equation gives (T=\mathrm{T}=4  kgwt\mathrm{~kg} \mathrm{wt}) So (T1\mathrm{T}_{1}) will be, (T1=\mathrm{T}_{1}=2 3 kgwt\sqrt{3} \mathrm{~kg} \mathrm{wt})
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