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Chemistry-

The wavelength of the wave function of a bonding molecular orbital formed by LCAO is

Chemistry-General

  1. Double the wave function of atomic orbital    
  2. Equal to the wave function of atomic orbital    
  3. Greater than the wave function of atomic orbital    
  4. Less than the wave function of atomic orbital    

    Answer:The correct answer is: Equal to the wave function of atomic orbital

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    v to the power of 2 end exponent equals g r open parentheses fraction numerator u plus t a n theta over denominator 1 minus u t a n theta end fraction close parentheses
    rightwards double arrow v to the power of 2 end exponent equals 9.8 cross times 1000 cross times open parentheses fraction numerator 0.5 plus 1 over denominator 1 minus 0.5 cross times 1 end fraction close parentheses rightwards double arrow v equals 172 m divided by s

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    v to the power of 2 end exponent equals g r open parentheses fraction numerator u plus t a n theta over denominator 1 minus u t a n theta end fraction close parentheses
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    An object is moving in a circle of radius 100 m with a constant speed of 31.4 blank m s to the power of negative 1 end exponent. What is its average speed for one complete revolution?

    The time taken by the particle for one complete revolution.
    t equals fraction numerator 2 pi r over denominator s p e e d end fraction
    equals fraction numerator 2 cross times 3.14 cross times 100 over denominator 31.4 end fraction equals 20 s
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    v subscript a v end subscript equals fraction numerator 2 cross times 3.14 cross times 100 over denominator 20 end fraction equals 31.4 blank m s to the power of negative 1 end exponent

    An object is moving in a circle of radius 100 m with a constant speed of 31.4 blank m s to the power of negative 1 end exponent. What is its average speed for one complete revolution?

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    t equals fraction numerator 2 pi r over denominator s p e e d end fraction
    equals fraction numerator 2 cross times 3.14 cross times 100 over denominator 31.4 end fraction equals 20 s
    H e n c e comma blank a v e r g e blank s p e e d blank i s blank
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    The horizontal range of a projectile 4 square root of 3 times the maximum height achieved by it, then the angle of projection is

    fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction equals 4 square root of 3 cross times fraction numerator u to the power of 2 end exponent sin invisible function application theta over denominator 2 g end fraction
    or fraction numerator u to the power of 2 end exponent over denominator g end fraction 2 sin invisible function application theta cos invisible function application theta equals 2 square root of 3 fraction numerator u to the power of 2 end exponent over denominator g end fraction sin to the power of 2 end exponent invisible function application theta

    The horizontal range of a projectile 4 square root of 3 times the maximum height achieved by it, then the angle of projection is

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    fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction equals 4 square root of 3 cross times fraction numerator u to the power of 2 end exponent sin invisible function application theta over denominator 2 g end fraction
    or fraction numerator u to the power of 2 end exponent over denominator g end fraction 2 sin invisible function application theta cos invisible function application theta equals 2 square root of 3 fraction numerator u to the power of 2 end exponent over denominator g end fraction sin to the power of 2 end exponent invisible function application theta
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    T subscript 1 end subscript cos invisible function application 30 degree plus T subscript 2 end subscript cos invisible function application 45 degree equals m g (i)
    T subscript 1 end subscript sin invisible function application 30 degree plus T subscript 2 end subscript sin invisible function application 45 degree equals fraction numerator m v to the power of 2 end exponent over denominator r end fraction (ii)
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    T subscript 1 end subscript equals fraction numerator m g minus fraction numerator m v to the power of 2 end exponent over denominator r end fraction over denominator open parentheses fraction numerator square root of 3 minus 1 over denominator 2 end fraction close parentheses end fraction
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    But T subscript 1 end subscript greater than 0
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    or m g greater than fraction numerator m v to the power of 2 end exponent over denominator r end fraction
    or v less than square root of r g end root
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    chemistry-General