Physics
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Question

The centre of mass of a non uniform rod of length L. Whose mass for unit length varies as rho equals fraction numerator k times x squared over denominator L end fraction where k is a constant and x is the distance of any point from one end is (from the same end)

  1. open parentheses 3 over 4 close parentheses L
  2. open parentheses 1 fourth close parentheses L
  3. open parentheses 1 over 6 close parentheses L
  4. open parentheses 2 over 3 close parentheses L

The correct answer is: open parentheses 3 over 4 close parentheses L


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    A) Coordinated water                                     (p)open square brackets Cu open parentheses straight H subscript 2 straight O close parentheses subscript 4 close square brackets to the power of 4 plus end exponent SO subscript 4 superscript 2 minus end superscript times straight H subscript 2 straight O
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    text  A)  end text fraction numerator p K subscript a comma H subscript 2 O plus p K subscript b comma H subscript 2 end subscript O end subscript over denominator 2 end fraction text  at  end text 25 to the power of ring operator C open parentheses d subscript text water  end text end subscript equals 1.0 straight g divided by ml close parentheses     text  (P)  end text fraction numerator straight p K subscript straight w over denominator 2 end fraction
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    text  C)  end text pH text  of pure water at  end text 320 straight K text  .  end text                                      left parenthesis straight R right parenthesis minus log invisible function application K subscript straight a comma straight H comma O end subscript
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    text  A)  end text fraction numerator p K subscript a comma H subscript 2 O plus p K subscript b comma H subscript 2 end subscript O end subscript over denominator 2 end fraction text  at  end text 25 to the power of ring operator C open parentheses d subscript text water  end text end subscript equals 1.0 straight g divided by ml close parentheses     text  (P)  end text fraction numerator straight p K subscript straight w over denominator 2 end fraction
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