Mathematics In Physics Test - 3

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Mathematics In Physics Test - 3

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Weekly Quiz Competition

Question 1
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Two forces, 1 N and 2 N, act along with the lines x = 0 and y = 0. The equation of the line along which the resultant lies is given by:

A
y - 2x = 0

B
2y - x = 0

C
y + x = 0

D
y - x = 0

Solution
Question 2
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Component of perpendicular to and in the same plane as that of is:

A

B

C

D

Solution
Question 3
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A
α cannot be less then β

B
α < β, if A < B

C
α < β, if A > B

D
α < β, if A = B

Solution
Question 4
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If the angle between the vector the value of the product is equal to:

A
BA² cosθ

B
BA² sinθ

C
BA² sinθcosθ

D
zero

Solution

Using vector product:
Question 5
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Two forces A and B have a resultant R₁. If B is doubled, the new resultant R₂ is perpendicular to A. Then

A
R₁ = A

B
R₁ = B

C
R₂ = A

D
R₂ = B

Solution

Let angle betwee A & B is θ
Question 6
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Assertion: The graph between P and Q is a straight line when P/Q is constant.
Reason: The straight-line graph means that P is proportional to Q or P is equal to a constant multiplied by Q.

Which one, of the following statements, is correct

A
If both the assertion and the reason are true, and the reason is the correct explanation of the assertion.

B
If both the assertion and the reason are true but the reason is not the correct explanation of the assertion.

C
If the assertion is true but the reason is false.

D
If the assertion and reason are both false

Solution

According to the statement of reason, as the graph is a straight line or P = constant × Q

i.e. P/Q = constant
Question 7
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Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

A
45°

B
120°

C
150°

D
60°

Solution
Question 8
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Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is

A

B

C

D

Solution
Question 9
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Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and the magnitude of the resultant is 12 N. Then the magnitudes of the forces will be:

A
12 N, 6 N

B
13 N, 5N

C
10 N, 8 N

D
16 N, 2 N

Solution

A + B = 18 …(i)
Question 10
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If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is

A
5√2, π/3

B
5√2, π/4

C
–5√2, π/3

D
–5√2, π/4

Solution