Mathematics In Physics Test

Result

Mathematics In Physics Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

In the space, if the sum of vectors of unequal magnitude is zero, then the minimum number of vectors are

A
2

B
3

C
4

D
5

Solution

In the space, the resultant of 2 unequal vectors will give another vector of another magnitude. To counter this, there should be a vector of equal magnitude in the opposite direction to the resultant. So, the minimum number of vectors will be 3.
Question 2
1 / -0

If is perpendicular to , then which of the following statement is correct?

A

B

C

D

Solution
Question 3
1 / -0

The angle between the two vectors

is:

A
0°

B
90°

C
180°

D
45°

Solution
Question 4
1 / -0

If then which of the following statements is incorrect?

A
must each be a null vector.

B
The magnitude of equals the magnitude of

C
The magnitude of ä can never be greater than the sum of the magnitudes of

D
ä must lie in the plane of

Solution

all the vectors should lie in the same plane.All of the vectors should not necessarily be equal to zero.
Question 5
1 / -0

When a force of magnitude F acts on a body of mass m the acceleration produced in the body is a. If three coplanar forces of equal magnitude F act on the same body as shown in the figure, then acceleration produced is

A
0

B
(√3 +1)a

C
(√3 −1)a

D
√3a

Solution

The resultant of all three forces = 0

So, the net acceleration = 0.
Question 6
1 / -0

Three forces each of magnitude 1 N act along with the sides AB, BC, and CD of a regular hexagon. The magnitude of their resultant is:

A
4N

B
Zero

C
2 N

D
1 N

Solution
Question 7
1 / -0

If a unit vector ˆj is rotated through an angle of 45° anticlockwise, then the new vector will be:

A

B

C

D

Solution
Question 8
1 / -0

A
1

B
√65

C
8

D
4

Solution
Question 9
1 / -0

A

B

C

D

Solution
Question 10
1 / -0

If a vector is inclined at angles, α, β, and γ with x, y, and z-axis respectively, then the value of sin² α + sin² β + sin² γ is equal to

A
0

B
1

C
2

D
1/2

Solution