In the given diagram, if PQ = A, QR = B and RS = C, then PS equal

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41.

In the given diagram, if PQ = A, QR = B and RS = C, then PS equals

      

  • A − B + C

  • A + B − C

  • A + B + C

  • A − B − C


C.

A + B + C

According to polygon law of vector addition

     

    A + B = PR

and PR + RS = PS

⇒ A + B + C = PS


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42.

The magnitudes of a set of 3 vectors are given below. The set of vectors for which the resultant cannot be zero is

  • 15, 20, 30

  • 20, 20, 30

  • 10, 20, 40

  • 10, 10, 20


43.

When a body is projected vertically up from the ground with certain velocity, its potential energy and kinetic energy at a point A are in the ratio 2 : 3. If the same body is projected with double the previous velocity, then at the same point A the ratio of its potential energy to kinetic energy is

  • 9 : 1

  • 2 : 9

  • 1 : 9

  • 9 : 2


44.

A ball is dropped from the top of a tower of height 100 m and at the same time another ball is projected vertically upwards from ground with a velocity 25 ms-1. Then, the distance from the top of the tower, at which the two balls meet is

  • 68.4 m

  • 48.4 m

  • 78.4 m

  • 18.4 m


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45.

A particle has the position vector r = i^ - 2j^ + k^ and the linear momentum p = 2i^ - j^ + k^. Its angular momentum about the origin is

  • - i^ + j^ - 3k^

  • - i^ + j^ + 3k^

  • i^ - j^ + 3k^

  • i^ - j^ - 5k^


46.

The vertical component of velocity of a projectile at its maximum height (u = velocity of projection, θ = angle of projection) is

  • u sin θ

  • u cos θ

  • usin θ

  • zero


47.

From an elevated point P, a stone is projected vertically upwards when the stone reaches a distance h below P, its velocity is double of its velocity at a height h above P. The greatest height attained by the stone from the point of projection is

  • 35 h

  • 53 h

  • 57 h

  • 23 h


48.

A particle describes uniform circular motion in a circle of radius 2 m, with the angular speed of 2 rad s-1. The magnitude of the change in its velocity in π2 s is

  • 0 ms-1

  • 22 ms-1

  • 8 ms-1

  • 4 ms-1


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49.

A body projected at an angle with the horizontal has a range 300 m. If the time of flight is 6 s, then the horizontal component of velocity is

  • 30 ms-1

  • 50 ms-1

  • 40 ms-1

  • 45 ms-1


50.

The velocity-time graph for the vertical component of the velocity of a body thrown upwards from the ground and landing on the roof of a building is given in the figure. The height of the building is

          

  • 50 m

  • 40 m

  • 20 m

  • 30 m


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