Motion in a Plane Test

Result

Motion in a Plane Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

Null vector or a zero vector has a magnitude

A
that is complex

B
equal to zero

C
greater than zero

D
less than zero

Solution
Question 2
1 / -0

A ball is projected horizontally with a velocity of 5 ms^-1from the top of a building which is 19.6 m high. How long will the ball take to hit the ground?

A
s

B
2 s

C
s

D
3 s
Question 3
1 / -0

The velocity-time graph of a moving train is depicted in the figure below. The average velocity during time OD was

A
30 m/s

B
60 m/s

C
45 m/s

D
23 m/s
Question 4
1 / -0

From the top of a tower of height 40 m, a ball is projected upwards with a speed of 20 ms^–1 at an angle of 30° with the horizontal. If g = 10 ms^–2, then after how much time will the ball hit the ground?

A
1 s

B
2 s

C
3 s

D
4 s
Question 5
1 / -0

When a projectile is at the highest point of its trajectory, the directions of its velocity and acceleration are

A
parallel to each other

B
anti-parallel to each other

C
inclined to each other at an angle of 45°

D
perpendicular to each other
Question 6
1 / -0

To find the sum of vectors A and B, we place vector B

A
so that its tail is at the head of the vector A

B
so that its head is at the head of the vector A

C
so that its direction is the same as that of vector A

D
so that its tail is at the tail of the vector A

Solution

Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of that triangle represents in magnitude and direction the resultant of the vectors.
Taken in same order mean tail of Vector B must coincide with head of vector A as shown in image.
Question 7
1 / -0

Which one of the following statements is NOT true about the motion of a projectile?

A
The time of flight of a projectile is proportional to the speed with which it is projected.

B
The horizontal range of a projectile is proportional to the square root of the speed with which it is projected.

C
For a given speed of projection, the angle of projection for the maximum range is 45°.

D
At the maximum height, the acceleration due to gravity is perpendicular to the velocity of the projectile.
Question 8
1 / -0

A

B

C

D

Solution

If a vector is multiplied by a negative number (for example -2, -3 ,-5, -60 unit etc.) or a scalar not only its magnitude is changed but its direction also reversed.
Question 9
1 / -0

A body is projected with a kinetic energy K at an angle of 60° with the horizontal. Its kinetic energy at the highest point of its trajectory will be

A
2K

B
K

C
K/2

D
K/4
Question 10
1 / -0

It is possible to project a particle with a given velocity in two possible ways, so as to make it pass through a point P at a distant r from the point of projection. The product of the time durations taken to reach this point in the two possible ways is proportional to

A
1/r

B
r

C
r³

D
Question 11
1 / -0

If a projectile has the same range R when the maximum height attained by it is either h₁ or h₂, then R, h₁ and h₂ will be related as

A

B

C

D
Question 12
1 / -0

The maximum height attained by a projectile is increased by 10% by changing the angle of projection, without changing the speed of projection. The percentage increase in the time of flight will be

A
20%

B
15%

C
10%

D
5%
Question 13
1 / -0

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of 60° with the vertical, with the same initial speed. At the highest point, the ratio of their potential energies will be

A
4 : 1

B
3 : 2

C
2 : 3

D
2 : 1
Question 14
1 / -0

The graph shows the dependence of velocity on time for a body which is restricted to move in one dimension, along the x-axis. At t = 0, the body is at rest at x = 0.

At t = 60 sec, the body is located at

A
x = 0 m

B
x = 40 m

C
x = 6 m

D
x = – 60 m
Question 15
1 / -0

The addition of vectors and the multiplication of a vector by a scalar together gives rise to

A
distributive laws

B
intransitive law

C
commutative law

D
asymmetric laws

Solution
Question 16
1 / -0

A projectile has a maximum range of 200 m. What is the maximum height attained by it?

A
25 m

B
50 m

C
75 m

D
100 m
Question 17
1 / -0

At what angle () with the horizontal should a body be projected, so that its horizontal range equals the maximum height it attains?

A

B

C

D
Question 18
1 / -0

A projectile has a range R and time of flight T. If the range is doubled (by increasing the speed of projection and without changing the angle of projection), the time of flight will become

A

B

C

D
Question 19
1 / -0

Which of the following remains constant during the motion of a projectile fired from a planet?

A
Kinetic energy

B
Momentum

C
Vertical component of velocity

D
Horizontal component of velocity
Question 20
1 / -0

Vector addition is

A
non-commutative

B
intransitive

C
commutative

D
asymmetric

Solution

Vector addition is commutative, just like addition of real numbers. If you start from a point say P, you end up at the same spot no matter which displacement (a or b) you take first. The head-to-tail rule yields vector c for both a + b and b + a.