Two identical spring balances S_{1} and S_{2} are connected one after the other and are held vertically as shown in the figure. A mass of 10 kg is hanging from S_{2}. If the readings on S_{1} and S_{2} are W_{1} and W_{2} respectively, then :

  1. A. W_{1}=5~kg and W_{2}=10~kg
  2. B. W_{1}=10~kg and W_{2}=5~kg
  3. C. W_{1}=5~kg and W_{2}=5~kg
  4. D. W_{1}=10~kg and W_{2}=10~kg

Correct Answer: D. W_{1}=10~kg and W_{2}=10~kg

Explanation

Since the spring balances are connected in series and are ideal (massless), both will experience the same tension equal to the weight of the 10 kg mass.

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