JEE Main & Advanced Physics Two Dimensional Motion Sample Paper

done Topic Test - Two Dimensional Motion Total Questions - 35    [Download]

• question_answer1)
  The maximum range of a gun on horizontal terrain is 16 km. If \[g=10m/{{s}^{2}}\]. What must be the muzzle velocity of the shell
  A)
  200 m/s
  done clear
  B)
  400 m/s
  done clear
  C)
  100 m/s
  done clear
  D)
  50 m/s
  done clear
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• question_answer2)
  A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following.
  A)
  Straight path
  done clear
  B)
  Circular path
  done clear
  C)
  Parabolic path
  done clear
  D)
  Hyperbolic path
  done clear
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• question_answer3)
  A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground
  A)
  One after the other
  done clear
  B)
  Simultaneously
  done clear
  C)
  Depends on the observer 
  done clear
  D)
  None of the above
  done clear
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• question_answer4)
  An aeroplane is flying at a constant horizontal velocity of 600 km/hr at an elevation of 6 km towards a point directly above the target on the earth's surface. At an appropriate time, the pilot releases a ball so that it strikes the target at the earth. The ball will appear to be falling
  A)
  On a parabolic path as seen by pilot in the plane
  done clear
  B)
  Vertically along a straight path as seen by an observer on the ground near the target
  done clear
  C)
  On a parabolic path as seen by an observer on the ground near the target
  done clear
  D)
  On a zig-zag path as seen by pilot in the plane
  done clear
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• question_answer5)
  A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb
  A)
  Falls to earth exactly below the aeroplane
  done clear
  B)
  Fall to earth behind the aeroplane
  done clear
  C)
  Falls to earth ahead of the aeroplane
  done clear
  D)
  Flies with the aeroplane
  done clear
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• question_answer6)
  A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be 
  A)
  Parabolic
  done clear
  B)
  Inclined straight line
  done clear
  C)
  Vertical straight line        
  done clear
  D)
  Horizontal straight line
  done clear
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• question_answer7)
  An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
  A)
  1200 m
  done clear
  B)
  0.33 km
  done clear
  C)
  3.33 km
  done clear
  D)
  33 km
  done clear
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• question_answer8)
  A ball is rolled off the edge of a horizontal table at a speed of 4 m/second.  It hits the ground after 0.4 second.  Which statement given below is true
  A)
  It hits the ground at a horizontal distance 1.6 m from the edge of the table    
  done clear
  B)
  The speed with which it hits the ground is 4.0 m/second
  done clear
  C)
  Height of the table is 0.8 m
  done clear
  D)
  It hits the ground at an angle of \[{{60}^{o}}\] to the horizontal
  done clear
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• question_answer9)
  An aeroplane flying 490 m above ground level at 100 m/s, releases a block.  How far on ground will it strike
  A)
  0.1 km
  done clear
  B)
  1 km
  done clear
  C)
  2 km    
  done clear
  D)
  None
  done clear
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• question_answer10)
  A body is thrown horizontally from the top of a tower of height 5 m.  It touches the ground at a distance of 10 m from the foot of the tower.  The initial velocity of the body is \[\left( g=10m{{s}^{2}} \right)\] 
  A)
  \[2.5m{{s}^{1}}\]
  done clear
  B)
  \[5m{{s}^{1}}\]
  done clear
  C)
  \[10m{{s}^{1}}\]
  done clear
  D)
  \[20m{{s}^{1}}\]
  done clear
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• question_answer11)
  An aeroplane moving horizontally with a speed of 720 km/h drops a food pocket, while flying at a height of 396.9 m.  the time taken by a food pocket to reach the ground and its horizontal range is (Take \[g=\text{ }9.8m/se{{c}^{2}}\])
  A)
  3 sec and 2000 m
  done clear
  B)
  5 sec and 500 m
  done clear
  C)
  8 sec and 1500 m
  done clear
  D)
  9 sec and 1800 m
  done clear
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• question_answer12)
  A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is
  A)
  Both particles will reach at ground simultaneously
  done clear
  B)
  Both particles will reach at ground with same speed
  done clear
  C)
  Particle will reach at ground first with respect to particle       
  done clear
  D)
  Particle will reach at ground first with respect to particle
  done clear
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• question_answer13)
  A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be
  A)
  A straight line
  done clear
  B)
  An arc of a circle
  done clear
  C)
  A parabola
  done clear
  D)
  An ellipse
  done clear
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• question_answer14)
  At the height 80 m, an aeroplane is moving with 150 m/s. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped (given \[g=\text{ }10m/{{s}^{2}}\])           
  A)
  605.3 m
  done clear
  B)
  600 m
  done clear
  C)
  80 m    
  done clear
  D)
  230 m
  done clear
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• question_answer15)
  A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be \[(g=10\,\,m/{{s}^{2}})\]
  A)
  \[{{\tan }^{-1}}\left( \frac{1}{5} \right)\]
  done clear
  B)
  \[\tan \,\left( \frac{1}{5} \right)\]
  done clear
  C)
  \[{{\tan }^{-1}}(1)\]
  done clear
  D)
  \[{{\tan }^{-1}}(5)\]
  done clear
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• question_answer16)
  A large number of bullets are fired in all directions with same speed \[v\]. What is the maximum area on the ground on which these bullets will spread
  A)
  \[\pi \frac{{{v}^{2}}}{g}\]
  done clear
  B)
  \[\pi \frac{{{v}^{4}}}{{{g}^{2}}}\]
  done clear
  C)
  \[{{\pi }^{2}}\frac{{{v}^{4}}}{{{g}^{2}}}\]
  done clear
  D)
  \[{{\pi }^{2}}\frac{{{v}^{2}}}{{{g}^{2}}}\]
  done clear
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• question_answer17)
  A projectile fired with initial velocity \[u\] at some angle \[\theta \] has a range \[R\]. If the initial velocity be doubled at the same angle of projection, then the range will be
  A)
  \[2R\]
  done clear
  B)
  \[R/2\]
  done clear
  C)
  \[R\]
  done clear
  D)
  \[4R\]
  done clear
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• question_answer18)
  If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will
  A)
  Remain the same
  done clear
  B)
  Be doubled
  done clear
  C)
  Be quadrupled
  done clear
  D)
  Be halved
  done clear
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• question_answer19)
  In the motion of a projectile freely under gravity, its
  A)
  Total energy is conserved
  done clear
  B)
  Momentum is conserved
  done clear
  C)
  Energy and momentum both are conserved
  done clear
  D)
  None is conserved
  done clear
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• question_answer20)
  The range of a projectile for a given initial velocity is maximum when the angle of projection is \[{{45}^{o}}\]. The range will be minimum, if the angle of projection is
  A)
  \[{{90}^{o}}\]
  done clear
  B)
  \[{{180}^{o}}\]
  done clear
  C)
  \[{{60}^{o}}\]
  done clear
  D)
  \[{{75}^{o}}\]
  done clear
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• question_answer21)
  The angle of projection at which the horizontal range and maximum height of projectile are equal is
  A)
  \[{{45}^{o}}\]
  done clear
  B)
  \[\theta ={{\tan }^{-1}}(0.25)\]
  done clear
  C)
  \[\theta ={{\tan }^{-1}}4\]or \[(\theta =76{}^\circ )\]
  done clear
  D)
  \[{{60}^{o}}\]
  done clear
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• question_answer22)
  A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant  
  A)
  Kinetic energy of the ball 
  done clear
  B)
  Speed of the ball
  done clear
  C)
  Horizontal component of velocity
  done clear
  D)
  Vertical component of velocity
  done clear
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• question_answer23)
  At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
  A)
  Perpendicular to each other         
  done clear
  B)
  Parallel to each other
  done clear
  C)
  Inclined to each other at an angle of  \[{{45}^{o}}\]
  done clear
  D)
  Antiparallel to each other
  done clear
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• question_answer24)
  An object is thrown along a direction inclined at an angle of \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the particle is equal to
  A)
  Vertical height
  done clear
  B)
  Twice the vertical height
  done clear
  C)
  Thrice the vertical height 
  done clear
  D)
  Four times the vertical height
  done clear
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• question_answer25)
  The height \[y\] and the distance \[x\] along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \[y=(8t-5{{t}^{2}})\] meter and \[x=6t\] meter, where \[t\] is in second. The velocity with which the projectile is projected is   
  A)
  8 m/sec
  done clear
  B)
  6 m/sec
  done clear
  C)
  10 m/sec
  done clear
  D)
  Not obtainable from the data
  done clear
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• question_answer26)
  Referring to above question, the angle with the horizontal at which the projectile was projected is
  A)
  \[{{\tan }^{-1}}(3/4\])
  done clear
  B)
  \[{{\tan }^{-1}}(4/3)\]
  done clear
  C)
  \[{{\sin }^{-1}}(3/4\])
  done clear
  D)
  Not obtainable from the given data
  done clear
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• question_answer27)
  Referring to the above two questions, the acceleration due to gravity is given by         
  A)
  \[10\,m/{{\sec }^{2}}\]
  done clear
  B)
  \[5m/{{\sec }^{2}}\]
  done clear
  C)
  \[20\,\,m/{{\sec }^{2}}\]
  done clear
  D)
  \[2.5\,\,m/{{\sec }^{2}}\]
  done clear
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• question_answer28)
  The range of a particle when launched at an angle of \[{{15}^{o}}\] with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of \[{{45}^{o}}\] to the horizontal                 
  A)
  1.5 km
  done clear
  B)
  3.0 km
  done clear
  C)
  6.0 km
  done clear
  D)
  0.75 km
  done clear
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• question_answer29)
  A cricketer hits a ball with a velocity \[25\,\,m/s\] at \[{{60}^{o}}\] above the horizontal. How far above the ground it passes over a fielder 50 \[m\] from the bat (assume the ball is struck very close to the ground)                                    
  A)
  8.2 m
  done clear
  B)
  9.0 m
  done clear
  C)
  11.6 m
  done clear
  D)
  12.7 m
  done clear
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• question_answer30)
  A stone is projected from the ground with velocity \[25\,m/s\]. Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is \[(g=10m/{{\sec }^{2}})\]
  A)
  \[{{30}^{o}}\]
  done clear
  B)
  \[{{45}^{o}}\]
  done clear
  C)
  \[{{50.2}^{o}}\]
  done clear
  D)
  \[{{60}^{o}}\]
  done clear
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• question_answer31)
  Galileo writes that for angles of projection of a projectile at angles \[(45+\theta )\] and \[(45-\theta )\], the horizontal ranges described by the projectile are in the ratio of (if \[\theta \le 45)\] 
  A)
  2 : 1     
  done clear
  B)
  1 : 2
  done clear
  C)
  1 : 1
  done clear
  D)
  2 : 3
  done clear
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• question_answer32)
  A projectile thrown with a speed \[v\] at an angle \[\theta \] has a range \[R\] on the surface of earth. For same \[v\] and \[\theta \], its range on the surface of moon will be
  A)
  \[R/6\]  
  done clear
  B)
  \[6R\]
  done clear
  C)
  \[R/36\]
  done clear
  D)
  \[36R\]
  done clear
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• question_answer33)
  The greatest height to which a man can throw a stone is \[\sqrt{\frac{F}{m\,r}}\]. The greatest distance to which he can throw it, will be
  A)
  \[2\,\pi \,{{r}^{2}}/T\]
  done clear
  B)
  \[\upsilon ,\,\upsilon \text{ and }\upsilon \]
  done clear
  C)
  \[2h\]
  done clear
  D)
  \[3h\]
  done clear
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• question_answer34)
  The horizontal range is four times the maximum height attained by a projectile. The angle of projection is
  A)
  \[{{90}^{o}}\]
  done clear
  B)
  \[{{60}^{o}}\]
  done clear
  C)
  \[{{45}^{o}}\]
  done clear
  D)
  \[{{30}^{o}}\]
  done clear
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• question_answer35)
  A ball is projected with kinetic energy \[E\]at an angle of \[{{45}^{o}}\] to the horizontal. At the highest point during its flight, its kinetic energy will be
  A)
  Zero     
  done clear
  B)
  \[\frac{E}{2}\]
  done clear
  C)
  \[\frac{E}{\sqrt{2}}\]
  done clear
  D)
  \[E\]
  done clear
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