Physics-
General
Easy

Question

Statement I Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.

Statement II Principle of conservation of momentum holds true for all kinds of collisions.

  1. Statement I is true, statement II is true, statement II is the correct explanation of statement I

  2. Statement I is true Statement II is true, Statement II is not correct explanation of statement I.

  3. Statement I is false, Statement II is true

  4. Statement I is true, Statement II is false

The correct answer is: Statement I is true, Statement II is false


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    A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc. The length of each move is half the length of the previous move and movement continues in the ‘zigzag’ manner indefinitely. The co-ordinates of the point to which the ‘zigzag’ converges is –

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    Reason (R) : fraction numerator 1 over denominator left parenthesis x minus a right parenthesis open parentheses x squared plus b close parentheses end fraction equals fraction numerator 1 over denominator a squared plus b end fraction open square brackets fraction numerator 1 over denominator x minus a end fraction minus fraction numerator x plus a over denominator x squared plus b end fraction close square brackets

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    Assertion (A) :If fraction numerator 5 x plus 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x plus 2 end fraction plus fraction numerator B over denominator x minus 1 end fraction, then A equals 3 comma B equals 2
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    The value of 'c' of Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text  for  end text x element of left square bracket negative 1 , 2 right square bracket is

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