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Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block pulling it away from the other as shown in figure. If the extension of the spring is X subscript 0 end subscript at time t, then the displacement of the left block at this instant is :

  1. open parentheses fraction numerator F t to the power of 2 end exponent over denominator 2 m end fraction minus x subscript 0 end subscript close parentheses    
  2. fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator F t to the power of 2 end exponent over denominator 2 m end fraction plus x subscript 0 end subscript close parentheses    
  3. fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator 2 F t to the power of 2 end exponent over denominator m end fraction minus x subscript 0 end subscript close parentheses    
  4. fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator F t to the power of 2 end exponent over denominator 2 m end fraction minus x subscript 0 end subscript close parentheses    

The correct answer is: fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator F t to the power of 2 end exponent over denominator 2 m end fraction plus x subscript 0 end subscript close parentheses

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