
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
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B)
400 m/s done
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C)
100 m/s done
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D)
50 m/s done
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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
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B)
Circular path done
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C)
Parabolic path done
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D)
Hyperbolic path done
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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
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B)
Simultaneously done
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C)
Depends on the observer done
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D)
None of the above done
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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
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B)
Vertically along a straight path as seen by an observer on the ground near the target done
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C)
On a parabolic path as seen by an observer on the ground near the target done
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D)
On a zigzag path as seen by pilot in the plane done
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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
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B)
Fall to earth behind the aeroplane done
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C)
Falls to earth ahead of the aeroplane done
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D)
Flies with the aeroplane done
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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
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B)
Inclined straight line done
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C)
Vertical straight line done
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D)
Horizontal straight line done
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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
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B)
0.33 km done
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C)
3.33 km done
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D)
33 km done
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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
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B)
The speed with which it hits the ground is 4.0 m/second done
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C)
Height of the table is 0.8 m done
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D)
It hits the ground at an angle of \[{{60}^{o}}\] to the horizontal done
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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
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B)
1 km done
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C)
2 km done
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D)
None done
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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
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B)
\[5m{{s}^{1}}\] done
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C)
\[10m{{s}^{1}}\] done
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D)
\[20m{{s}^{1}}\] done
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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
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B)
5 sec and 500 m done
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C)
8 sec and 1500 m done
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D)
9 sec and 1800 m done
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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
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B)
Both particles will reach at ground with same speed done
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C)
Particle will reach at ground first with respect to particle done
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D)
Particle will reach at ground first with respect to particle done
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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
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B)
An arc of a circle done
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C)
A parabola done
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D)
An ellipse done
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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
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B)
600 m done
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C)
80 m done
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D)
230 m done
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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
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B)
\[\tan \,\left( \frac{1}{5} \right)\] done
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C)
\[{{\tan }^{1}}(1)\] done
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D)
\[{{\tan }^{1}}(5)\] done
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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
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B)
\[\pi \frac{{{v}^{4}}}{{{g}^{2}}}\] done
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C)
\[{{\pi }^{2}}\frac{{{v}^{4}}}{{{g}^{2}}}\] done
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D)
\[{{\pi }^{2}}\frac{{{v}^{2}}}{{{g}^{2}}}\] done
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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
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B)
\[R/2\] done
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C)
\[R\] done
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D)
\[4R\] done
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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
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B)
Be doubled done
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C)
Be quadrupled done
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D)
Be halved done
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In the motion of a projectile freely under gravity, its
A)
Total energy is conserved done
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B)
Momentum is conserved done
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C)
Energy and momentum both are conserved done
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D)
None is conserved done
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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
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B)
\[{{180}^{o}}\] done
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C)
\[{{60}^{o}}\] done
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D)
\[{{75}^{o}}\] done
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The angle of projection at which the horizontal range and maximum height of projectile are equal is
A)
\[{{45}^{o}}\] done
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B)
\[\theta ={{\tan }^{1}}(0.25)\] done
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C)
\[\theta ={{\tan }^{1}}4\]or \[(\theta =76{}^\circ )\] done
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D)
\[{{60}^{o}}\] done
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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
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B)
Speed of the ball done
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C)
Horizontal component of velocity done
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D)
Vertical component of velocity done
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At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
A)
Perpendicular to each other done
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B)
Parallel to each other done
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C)
Inclined to each other at an angle of \[{{45}^{o}}\] done
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D)
Antiparallel to each other done
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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
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B)
Twice the vertical height done
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C)
Thrice the vertical height done
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D)
Four times the vertical height done
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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 \[y=(8t5{{t}^{2}})\] meter and \[x=6t\] meter, where \[t\] is in second. The velocity with which the projectile is projected is
A)
8 m/sec done
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B)
6 m/sec done
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C)
10 m/sec done
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D)
Not obtainable from the data done
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Referring to above question, the angle with the horizontal at which the projectile was projected is
A)
\[{{\tan }^{1}}(3/4\]) done
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B)
\[{{\tan }^{1}}(4/3)\] done
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C)
\[{{\sin }^{1}}(3/4\]) done
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D)
Not obtainable from the given data done
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Referring to the above two questions, the acceleration due to gravity is given by
A)
\[10\,m/{{\sec }^{2}}\] done
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B)
\[5m/{{\sec }^{2}}\] done
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C)
\[20\,\,m/{{\sec }^{2}}\] done
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D)
\[2.5\,\,m/{{\sec }^{2}}\] done
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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
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B)
3.0 km done
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C)
6.0 km done
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D)
0.75 km done
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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
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B)
9.0 m done
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C)
11.6 m done
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D)
12.7 m done
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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
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B)
\[{{45}^{o}}\] done
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C)
\[{{50.2}^{o}}\] done
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D)
\[{{60}^{o}}\] done
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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
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B)
1 : 2 done
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C)
1 : 1 done
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D)
2 : 3 done
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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
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B)
\[6R\] done
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C)
\[R/36\] done
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D)
\[36R\] done
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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
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B)
\[\upsilon ,\,\upsilon \text{ and }\upsilon \] done
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C)
\[2h\] done
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D)
\[3h\] done
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The horizontal range is four times the maximum height attained by a projectile. The angle of projection is
A)
\[{{90}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[{{45}^{o}}\] done
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D)
\[{{30}^{o}}\] done
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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
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B)
\[\frac{E}{2}\] done
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C)
\[\frac{E}{\sqrt{2}}\] done
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D)
\[E\] done
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