Motion in a Plane Test

Result

Motion in a Plane Test - 6

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Question 1
1 / -0

Directions: In the following question, Statement - 1 (Assertion) is followed by Statement - 2 (Reason). The question has the following four options, out of which only ONE choice is correct.

Statement - 1: The maximum range on an inclined plane when a body is projected upwards from the base of the plane is less than that when it is projected downwards from the top of the same plane with the same speed.
Statement - 2: The maximum range along an inclined plane is independent of the angle of inclination of the plane.

A
Statement - 1 is true, Statement - 2 is true and Statement - 2 is the correct explanation for Statement - 1.

B
Statement - 1 is true, Statement - 2 is true, but Statement - 2 is NOT the correct explanation for Statement - 1.

C
Statement - 1 is true, Statement - 2 is false.

D
Statement - 1 is false, Statement - 2 is true.
Question 2
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

Which of the following graphs represent(s) uniform speed, if the distance is denoted by 's' and the time is denoted by 't'?

A

B

C

D
All of the above
Question 3
1 / -0

A particle is moving eastwards with a velocity of 5 ms^-1. In 10 seconds, the velocity changes to 5 ms^-1 northwards. The average acceleration in this time is

A
m/sec² towards northwest

B
m/sec² towards north

C
zero

D
m/sec² towards northwest
Question 4
1 / -0

Which of the following graphs represents an impossible situation?

A

B

C

D
Question 5
1 / -0

Magnitude of displacement of a particle is

A
is equal to the path length of the particle between two points

B
is less than the path length of the particle between two points

C
is either less or equal to the path length of the particle between two points

D
is more than the path length of the particle between two points

Solution

The maximum possible value for displacement is the distance travelled, so it cannot be of a greater value than distance (path length).
The magnitude of the displacement is always less than or equal to the distance traveled. If two displacements in the same direction are added, then the magnitude of their sum will be equal to the distance traveled
Question 6
1 / -0

If the vector sum of two forces is perpendicular to their vector difference, then in that case, the forces

A
are not equal to each other in magnitude

B
cannot be predicted

C
are equal to each other

D
are equal to each other in magnitude
Question 7
1 / -0

Vectors can be added by

A
triangle law of addition

B
translating the two vectors

C
adding the magnitudes of the vectors

D
adding the angles of the vectors

Solution

The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the triangle method or the parallelogram method.
Question 8
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

If a particle is projected at an angle of 45^o, then find the relation between the range and the maximum height attained by the particle.

A
R = 4H

B
4R = H

C
2H = R

D
None of these
Question 9
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

Three forces act on a body, kept at the origin, such that their resultant is (F = 200 N) along the Y-axis. If the forces are , 45^o to the right of F, , 45^o to the left of F, then what will be the magnitude and direction of F₃?

A
100 N along the x-axis

B
100 N along the y-axis

C
225° from the +ve y-axis

D
, 225^o from the +ve x-axis
Question 10
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

A particle moves in the x-y plane under the action of a force F, such that the value of its linear momentum p at any time t is p_x = 2 cos t, p_y = 2 sin t. The angle between F and p at any given time t will be

A
90^o

B
0^o

C
180^o

D
30^o
Question 11
1 / -0

The maximum number of vectors of unequal magnitudes required to produce a zero resultant is

A
2

B
3

C
4

D
5
Question 12
1 / -0

A ball is projected upwards from the top of a tower, with velocity 50 ms^-1, making an angle 30^o with the horizontal. The height of the tower is 70 m. After how many seconds, from the instant of throwing, will the ball reach the ground?
(g = 10 ms^-²)

A
2 s

B
5 s

C
7 s

D
9 s
Question 13
1 / -0

The magnitude of acceleration of a moving body is equal to the

A
gradient of a displacement-time graph

B
gradient of a velocity-time graph

C
gradient of a displacement-velocity graph

D
area of a velocity-time graph
Question 14
1 / -0

The basic difference between a scalar and vector is one of

A
magnitude

B
polar angle

C
origin

D
direction

Solution

Scalar quantity gives you an idea about how much of an object there is, but vector quantity gives you an indication of how much of an object there is and that also in which direction. So, the main difference between these two quantities is associated with the direction, i.e. scalars do not have direction but vectors do.
Question 15
1 / -0

A

B

C

D

Solution

When a vector is multiplied by a positive number (for example 2, 3 ,5, 60 unit etc.) or a scalar only its magnitude is changed but its direction remains the same as that of the original vector.
Question 16
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

A river is flowing from West to East with a speed of 5 m/min. A man can swim in still water with a velocity of 10 m/min. In which direction should the man swim, so as to take the shortest possible path to go to South?

A
30^o West of South

B
60^o West of South

C
South

D
30^o West of North
Question 17
1 / -0

A cannon on a level plain is aimed at an angle above the horizontal and a shell is fired with a muzzle velocity v₀ towards a vertical cliff, a distance R away. The height from the bottom at which the shell strikes the side walls of the cliff is

A

B

C

D
Question 18
1 / -0

If and , then the angle made by ( + )with x-axis is

A
30^o

B
45^o

C
60^o

D
90^o
Question 19
1 / -0

Two bullets A and B are fired from a gun with the same speed, but at angles 30^oand 60^o to the horizontal, respectively. Which of the following statements is correct?

A
Bullet A will have a longer horizontal range.

B
Bullet B will have a longer horizontal range.

C
The horizontal range of bullet B will be half of that of bullet A.

D
Both the bullets will have the same horizontal range.
Question 20
1 / -0

Two vectors are equal if

A
the magnitude is the same for both

B
the magnitude and direction are the same for both

C
the direction is the same for both

D
the two vectors have opposite directions

Solution

Equal vectors are vectors that have the same magnitude and the same direction. Equal vectors may start at different positions.