Physics-
General
Easy

Question

There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container

  1. Rises    
  2. Falls    
  3. Remains same    
  4. Nothing can be concluded    

The correct answer is: Falls


    Volume disp initially equals fraction numerator rho subscript M end subscript V subscript 1 end subscript g plus rho subscript i c e end subscript V subscript 2 end subscript g over denominator rho subscript omega end subscript g end fraction equals fraction numerator rho subscript M end subscript over denominator rho subscript omega end subscript end fraction V subscript 1 end subscript plus fraction numerator rho subscript i c e end subscript over denominator rho subscript omega end subscript end fraction V subscript 2 end subscript
    Volume disp finallyequals V subscript 1 end subscript plus V subscript 2 end subscript superscript ´ end superscript
    rho subscript omega end subscript V subscript 2 end subscript superscript ´ end superscript equals rho subscript i c e end subscript V subscript 2 end subscript
    therefore V subscript f end subscript equals V subscript 1 end subscript plus open parentheses fraction numerator rho subscript i c c end subscript over denominator rho subscript w end subscript end fraction close parentheses V subscript 2 end subscript rightwards double arrow V subscript f end subscript less than V subscript i end subscript
    \ Level falls

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