Mathematics In Physics Test

Result

Mathematics In Physics Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

If is the unit vector in the direction then:

A

B

C

D

Solution
Question 2
1 / -0

A
θ₁ > θ₂

B
θ₁ < θ₂ if P > Q

C
θ₁ < θ₂ if P < Q

D
θ₁ > θ₂ if P = Q

Solution
Question 3
1 / -0

Which of the following sets of forces cannot give zero resultant?

A
3 N, 4 N, 5 N

B
9 N, 8 N, 7 N

C
16 N, 2 N, 17 N

D
30 N, 5 N, 24 N

Solution

The forces in option (4) can not give a zero resultant. For zero resultant, the forces should make a triangle according to the triangle law of addition. To make a triangle, the sum of any 2 sides should be more than the third side.
Question 4
1 / -0

If two force vectors of the same magnitude are arranged in the following manner, the magnitude of resultant is maximum for?

A
(I)

B
(II)

C
Both (II) & (III)

D
Both (I) & (II)

Solution

The resultant will be maximum when the angle between the vectors is minimum. The angle between the vectors is minimum in option (2).
Question 5
1 / -0

The minimum number of non-coplanar vectors whose vector sum can be zero is:

A
2

B
3

C
4

D
5

Solution

In space, the resultant of any 3 vectors will be a new vector that lies out of the plane of all 3 vectors. To balance this resultant, another vector should be opposite to this resultant.
Question 6
1 / -0

The figure shows ABCDEF as a regular hexagon. What is the value of

A

B

C

D

Solution
Question 7
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A vector which has magnitude 8.0 is added to a vector which lies on the x-axis. The sum of these two vectors lies on the y-axis and has a magnitude twice the magnitude of . The magnitude of the vector

A
8

B
√2 × 8

C
8/√5

D
8√5

Solution
Question 8
1 / -0

A

B

C

D

Solution
Question 9
1 / -0

The forces F₁ and F₂ are acting perpendicular to each other at a point and have resultant R. If force F₂ is replaced by cting in the direction opposite to that of F₂, the magnitude of resultant

A
Becomes half

B
Becomes double

C
Becomes one third

D
Remains the same

Solution

So, by replacing

will not change the magnitude of F₂ and the magnitude of R remains the same.
Question 10
1 / -0

A force of 20 N acts on a particle along a direction, making an angle of 60° with the vertical. The component of the force along the vertical direction will be

A
2 N

B
5 N

C
10 N

D
20 N

Solution

The component of force along vertical = 20 cos60°

= 20 × 1/2

= 10N