Six vectors and have the magnitudes and directions indicated

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 Multiple Choice QuestionsMultiple Choice Questions

111.

The velocity of a projectile at the initial point A is (2 i + 3 j) m/s. Its velocity (in m/s) at point B is,

  • -2 i - 3 j

  • -2 i + 3 j

  • i - 3 j

  • i - 3 j

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112.

A  particle of mass m is released from rest and follows a parabolic path is shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

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113.

A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards the north. The average acceleration of the body is 

  • 7 m/s2

  • square root of 7 space m divided by s squared
  • 5 m/s2

  • 5 m/s2

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114.

A missile is fired at maximum range with an initial velocity of 20 m/s. If g =10 m/s2 the range of the missile is 

  • 50 m

  • 60 m

  • 20 m

  • 20 m

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115.

Two particles A and B, move with constant velocities v1 and v2. At the initial moment, their position vectors are r1 and r2 respectively. The condition for particles A and B for their collision is 

  • fraction numerator straight r subscript 1 space equals space straight r subscript 2 over denominator vertical line straight r subscript 1 minus straight r subscript 2 vertical line end fraction space equals space fraction numerator v subscript 2 space equals space v subscript 1 over denominator vertical line v subscript 2 minus v subscript 1 vertical line end fraction
  • r1.v1 = r2.v2

  • r1 x v1 = r2 x v2

  • r1 x v1 = r2 x v2

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116.

A projectile is fired an angle of 45o with the horizontal.Elevation angle of the projectile at the highest point as seen from the point of projection is 

  • 60o

  • tan-1(1/2)

  • tan to the power of negative 1 end exponent space open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses
  • tan to the power of negative 1 end exponent space open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses
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117.

A Particle has initial velocity andleft parenthesis 3 space bold i with bold hat on top space plus 4 space bold j with bold hat on top right parenthesis has acceleration.left parenthesis 0.1 space bold i with bold hat on top space plus space 0.3 space bold j with bold hat on top right parenthesis Its speed after 10s is

  • 7 unit

  • 7 square root of 2 unit
  • 8.5 unit

  • 8.5 unit

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118.

A particle moves a distance x in time t according to equation x  = (t +5)-1. The acceleration of particle is proportional to

  • (velocity)3/2

  • (distance)2

  • (distance)-2

  • (distance)-2

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119.

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be

  • 2v

  • 0

  • 1.5 v

  • 1.5 v

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120.

Six vectorsbold a with bold rightwards arrow on top and bold f with bold rightwards arrow on tophave the magnitudes and directions indicated in the figure. Which of the following statements is true?


  • bold b with bold rightwards arrow on top bold space bold plus bold c with bold rightwards arrow on top bold space bold equals bold space bold f with bold rightwards arrow on top
  • bold d with bold rightwards arrow on top bold space bold plus bold c with bold rightwards arrow on top bold space bold equals bold space bold f with bold rightwards arrow on top
  • stack bold d bold space with bold rightwards arrow on top bold space bold plus bold space bold e with bold rightwards arrow on top bold space bold equals bold space bold f with bold rightwards arrow on top
  • stack bold d bold space with bold rightwards arrow on top bold space bold plus bold space bold e with bold rightwards arrow on top bold space bold equals bold space bold f with bold rightwards arrow on top


C.

stack bold d bold space with bold rightwards arrow on top bold space bold plus bold space bold e with bold rightwards arrow on top bold space bold equals bold space bold f with bold rightwards arrow on top

If two non -zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors

therefore, 

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