JEE Questions for Maths Miscellaneous Quiz 13

A body falls freely from a point A and passes through the points B and C. Given that AB = 2BC. The ratio of the time taken by the body to cover the distances AB andBC,i

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0%
2)
0%
0%

Two particles A and B are dropped from the height of 5 m and 20 m respectively. Then the ratio of time taken by A to that taken by B, to reach the ground is

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1 : 4
0%
2 : 1
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1 : 2
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1 : 1

A particle is projected from the top of tower 5 m high and at the same moment another particle is projected upward from the bottom of the tower with a speed of 10 m/s, meet at distance ‘h’ from the top of tower, then h

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1.25 m
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2.5 m
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3 m
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None of these

A particle was dropped from the top of the tower of height h and at the same time another partide is thrown vertically upwards from the bottom of the tower with such a velocity that it can just reach the top of the tower. The two particles meet at a height

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0%
2)
0%
0%

A stone is dropped from an aeroplane which is rising with acceleration f and t seconds after this another stone is dropped. The distance between the two stones at time T after the second stone is dropped is

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2)
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0%

A stone is dropped slowly from the top of the wall and it reaches the surface of the water with the velocity 3924 cm/sec, if sound of splash is heard after 4 109/475 seconds, then the velocity of sound will he

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312 metre/sec
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302 metre/sec
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321 metre/sec
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342 metre/sec

A body falling from rest under gravity passes a certain point P. It was at a distance of 400 m from P, 4 second prior to passing through P. If g = 10 m/s², then the height above the point P from where the body began to fall is

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720 m
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900 m
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320 m
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680 m

A man on a lift ascending with an acceleration f m/sec² throws a ball vertically upwards with a velocity of v m/sec relative to the lift and catches it again in t seconds. The value of t is

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2)
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0%

A body weighs most

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At the earth’s surface
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Above the earth’s surface
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Inside the earth
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At the centre of the earth

A cricket ball of mass 200 gm moving with a velocity of 20 m/sec is brought to rest by a player in 0.1 sec. The average force applied by the player is

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0%
2)
0%
0%

A train whose mass is 16 metric tons, moves at the rate of 72 km/hr. After applying breaks it stops in 500 meter. What is the force exerted by breaks obtaining it to be uniform?

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800N
0%
1600 N
0%
3200N
0%
6400 N

A man weighing 60 kg jumps off a railway train running on horizontal rails at 20 km/h with a packet weighing 10 kg in his hand. The thrust of the packet on his hand is

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0
0%
10 kg wt
0%
50 kg wt
0%
70 kg wt

A bullet of mass 10 gram fired into a wall with a velocity of 10 m/sec loses its velocity in penetrating through 5 cm into the wall. The average force exerted by the wall is

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104 gm wt
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106 dynes
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105 dynes
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None of these

A train is moving with constant velocity. If the resistance of its motion is 10 lbs per ton (of mass) and the force exerted by the engine is 200 lbs wt, then the mass of engine is

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20 tons
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200 tons
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2000 ton
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2 tons

If the barrel of the gun is cut down 50 cm, then a bullet of 49 kilogram fire out with velocity 361 m/sec instead of 441 m/sec. The approximate thrust of gas on the bullet will be

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317.6 metric ton weight
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318.4 metric ton weight
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319.3 metric ton weight
0%
320.8 metric ton weight

A cart of 100 kg is free to move on smooth rails and a block of 20 kg is resting on it. Surface of contact between the cart and the block is smooth. A force of 60 Newton is applied to the cart. Acceleration of 20 kg, block in metres per second² is

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3
0%
0.6
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0.5
0%
0

A man having mass 70 kilogram is standing in a lift which is moving with uniform acceleration of 25 cm/sec². What will be the reaction of floor when lift coming down

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2)
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0%

From the gun cartage of mass M, a fire arm of mass rn with velocityu relative to gun cartage is fired. The real velocities of fire arms and gun cartage will be respectively

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0%
2)
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0%

A glass marble, whose mass is (1/kg falls from a height of 2.5 m and rebounds to a height of 1.6 m. Then the average force between the marble and the floor, if the time during which they are in contact be one-tenth of a second, is

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10.58 N
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11.58 N
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12.58 N
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13.58 N

A rough plane is 100 ft long and is inclined to the horizon at an angle sin’(3/5), the coefficient of friction being 1/2, and a body slides down it from rest at the highest point, the velocity on reaching the bottom would be

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0%
2)
0%
0%

A particle of mass m falls from rest at a height of 16 m and is brought to rest by penetrating 1/6 m into the ground. If the average vertical thrust exerted by the ground be 388 kg. wt, then the mass of the particle is

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8kg
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2kg
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3kg
0%
4kg

A light string passing over a light smooth pulley carries masses of 3 kg and 5 kg at its ends. If the string breaks after the masses have moved 9 m, then the 3 kg mass will farther rise (g = 10 m/sec²)

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1.75 m
0%
1.95 m
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2.05 m
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2.25 m

A light string passing over a light smooth pulley carries masses of 3 kg and 5 kg at its ends. If the string is allowed to move from the rest the acceleration of the motion is equal to

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0%
2)
0%
0%

Two bodies of mass 8 and 10 gm is attached to a light rope which is passing over a smooth pulley. If this system is given to a velocity 3/16 g cm/sec, then small body will move downwards and heavy body will move upwards, then after what time they will move in opposite directions?

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0%
2)
0%
0%

Two masses m₁ and m₂ are connected by a light inextensible string and suspended over a smooth fixed pulley. Then

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0%
2)
0%
0%

The maximum horizontal range of a ball projected with a velocity of 39.2 m/s is (take g = 9.8 m/s²)

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100 m
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127 m
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157 m
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177 m

Two masses are attached to the pulley as shown in fig., find acceleration of centre of mass

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0%
2)
0%
0%

Two equal perfectly elastic balls impinges directly, then after impact they

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Are at rest
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Interchange their velocities
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Move with the same velocity
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Move with twice velocities

A sphere impinges directly on an equal sphere at rest. If the coefficient of restitution is e, their velocities after the impact are as

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1 : e
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e : 1
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1 + e : 1 – e
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1 – e : 1 + e

A ball is dropped from a height of 22.5 metre on a fixed horizontal plane. If e =2/5, then it will stop rebounding after

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5 sec
0%
6 sec
0%
7 sec
0%
8 sec

An elastic ball with coefficient of elasticity 1/2 is dropped from rest at a height h on a smooth floor. The total distance covered by the ball is

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More than 2h
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Less than 2h but more than (3/h
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Less than (3/h but more than (4/h
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Less then (4/h

Hailstorm are observed to strike the surface of a frozen lake in a direction making an angle of 30 c to the vertical and to rebound at an angle of 60 C to the vertical. Assuming the contact to be smooth, the coefficient of restitution is

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1/3
0%
2/3
0%
1/√3
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None of these

Any heavy elastic ball falls from the ceiling of any room and after rebounding two times reaches the half of the height of ceiling. The coefficient of restitution is

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0%
2)
0%
0%

A ball of 1 kg moving with velocity 7 m/sec overtakes and collides with a ball of mass 2 kg moving with velocity 1 m/sec in the same direction. If e = 3/4, the velocity of the lighter ball after impact is

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120 m/sec
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1/2 m/sec
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1 m/sec
0%
0 m/sec

A ball falls from a height h upon a fixed horizontal plane, e is the coefficient of restitution, the whole distance described by the ball before it comes to rest is

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2)
0%
0%

A ball of mass 8 kg and moving with velocity 4 m/sec collides with another ball of mass 10 kg moving with velocity 2 m/sec in the same direction. If the coefficient of restitution is 1/2, the velocities (in m/sec) of the balls after impact are

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0, 0
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7/3, 10/3
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2/3, 5/3
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2, 2

A sphere impinges directly on an equal sphere which is at rest. Then the original kinetic energy lost is equal to

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0%
2)
0%
0%
None of these

A ball weighing 2 kg and speed 6 m/s collides with another ball of 4 kg moving in opposite direction with speed of 3 m/s. They combine after the collision. The speed of this combined mass in rn/s is

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4
0%
2
0%
0
0%
3

A 15 kg block is moving on ice with a speed of 5 metre per second when a 10 kg block is dropped onto it vertically. The two together move with a velocity which in metre per second is

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3
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√!5
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5
0%
Indeterminate

A particle is projected with velocity 2(√2g) so that it just clear two walls of equal height 2 metre, which are at a distance of 4 metre from each other. What is the time of passing from one wall to another?

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0%
2)
0%
0%

If you want to kick a football to the maximum distance the angle at which it should be kicked is (assuming no resistance)

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45o
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90°
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30°
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60°

The path of projectile in vacuum is a

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Straight line
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Circle
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Ellipse
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Parabola

A particle is projected under gravity (g = 9.81 m/sec²) with a velocity of 29.43 m/sec at an elevation of 30°. The time of flight in seconds to a height of 9.81 m are

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5, 1, 5
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1, 2
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1, 5, 2
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2, 3

From the top of a tower of height 100 m, a ball is projected with a veLocity of 10 m/sec. It takes 5 seconds to reach the ground. If g = 10 m/sec². then the angle of projection is

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30o
0%
45o
0%
60o
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90o

A particle is projected with initial velocity u making an angle a with the horizontal, its time of flight will be given by

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0%
2)
0%
0%

The escape velocity for a body projected vertically upwards is 11.2 km/sec. If the body is projected in a direction making an angle of 60° with the vertical, then the escape velocity will be

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11.2 km/sec
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5.6√3 km/sec
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5.6 km/sec
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None of these

A particle is projected with the speed of I rn/sec at an angle of 600 from the horizontal. The velocity of the projectile when it reaches the height of 10 m is

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0%
2)
0%
0%

From the top of a hill of height 150 m, a ball is projected with a velocity of 10 m/sec. It takes 6 seconds to reach the ground. The angle of projection of the ball is

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15°
0%
30o
0%
45o
0%
60°

A particle is projected with a velocity of 39.2 rn/sec at an angle of 30° to the horizontal. It will move at right angle to the direction of projection after the time

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8 sec
0%
5 sec
0%
6 sec
0%
10 sec

Let R₁ and R₂ respectively be the maximum ranges up and down an inclined plane and R be the maximum range on the horizontal plane. Then R₁, R, R₂ are in

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Arithmetic-Geometric progression (A .G .P.)
0%
A.P
0%
G.P
0%
H.P.

JEE Questions for Maths Miscellaneous Quiz 13 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Miscellaneous Quiz 13 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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