Q. No.Given below are two statements:
Assertion (A):
The graph between P and Q is a straight line when PQ is constant.
Reason (R):
The straight-line graph means that P is proportional to Q or P is equal to a constant multiplied by Q.
1.
Both (A) and (R) are True and (R) is the correct explanation of (A).
2.
Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.
(A) is True but (R) is False.
4.
Both (A) and (R) are False
Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is
1. 45°
2 120°
3. 150°
4. 60°
Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F3. The angle between the two forces is:
1. cos−1(−1718)
2. cos−1(−13)
3. cos−1(23)
4. cos−1(89)
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:
1. 12 N,6 N
2. 13 N,5 N
3. 10 N,8 N
4. 16 N,2 N
If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is
1. 5√2, π/3
2. 5√2, π/4
3. −5√2, π/3
4. −5√2, π/4
Two forces A and B have a resultant R1. If B is doubled, the new resultant R2 is perpendicular to A. Then
1. R1=A
2. R1=B
3. R2=A
4. R2=B
1. 0∘
2. 90∘
3. 45∘
4. 180∘
If the angle between the vector →A and →B is θ, the value of the product (→B×→A).→A is equal to:
1. BA2 cosθ
2. BA2 sinθ
3. BA2 sinθcosθ
4. zero
Given that →C=→A+→B and →C makes an angle α
1. α cannot be less than β
2. α<β, if A<B
3. α<β, if A>B
4. α<β, if A=B
Component of 3ˆi+4ˆj perpendicular to ˆi+ˆj and in the same plane as that of 3ˆi+4ˆj is:
1. 12(ˆj-ˆi)
2. 32(ˆj-ˆi)
3. 52(ˆj-ˆi)
4. 72(ˆj-ˆi)
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