Assertion: Two balls of different masses are thrown vertical

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 Multiple Choice QuestionsMultiple Choice Questions

161.

A particle slides down on a smooth incline of inclination 30°, fixed in an elevator going up with an acceleration 2 m/s2. The box of incline has a length 4m. The time taken by the particle to reach the bottom will be

   

  • ( 8/9 ) √3 s

  • ( 9/8 ) √3 s

  • ( 4/3 ) √(√3/2 ) s

  • ( 3/4 ) √(√3/2 ) s


162.

A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H1. When it is projected with velocity u at an angle π2 - θ with the horizontal, it reaches maximum height H2. The relation between the horizontal range R of the projectile, H1 and H2 is 

  • R = 4 H1 H2

  • R = 4 ( H1 - H2 )

  • R = 4( H1 + H2 )

  • R = H12H22


163.

A projectile is given an initial velocity of î + 2 ĵ . The cartesian equation of its path is ( Take g = 10 ms2 )

  • y = x - 5x2

  • y = 2x - 5x2

  • y = 2x - 15x2

  • y = 2x - 25x2


164.

If  A and B are non-zero vectors which obey the relation   A + B  =  A - B , then the angle between them is

  • 0o

  • 60o

  • 90o

  • 120o


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165.

An arrow is projected into air. Its time of flight is 5 s and range 200 m. What is the maximum height reached by it? ( Take g= 10 ms-2 )

  • 31·25 m

  • 24·5 m

  • 18·25 m

  • 46·75 m


166.

A particle moves in a circular path with decreasing speed. Choose the correct statement.

  • Angular momentum remains constant

  • Acceleration α is towards the centre

  • Particle moves in a spiral path with decreasing radius

  • The direction of angular momentum remains constant


167.

A particle is projected from the ground with an initial speed of 'v' at angle θ  with horizontal. The average velocity of the particle between its point of projection and height point of trajectory is

  • vcosθ


168.

Two projectiles of same mass have their maximum kinetic energies in ratio 4:1 and ratio of their maximum height is also 4:1 then what is the ratio of their ranges?

  • 2 : 1

  • 4 : 1

  • 8 : 1

  • 16 : 1


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169.

In figure, a particle having mass m = 5 g and large  q'= 2 x 10-9  starts from rest at point  𝑎 and moves in a straight line to point b. What is its speed  v at point  b?

     

  • 2.65 cms-1

  • 3.65 cms-1

  • 4.65 cms-1

  • 5.65 cms-1


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170.

Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. 

Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion is true but reason is false.


A.

If both assertion and reason are true and reason is the correct explanation of assertion.

 h = ut - 12 gt2

  v2 = u2 - 2 gh

The above equations are independent of mass.


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