This quiz is completed
What is the maximum number of components into which a vector can be split
two
three
four
any number of components
the minimum no. of vectors of equal magnitude required to produce zero resultant is
2
3
4
more than 4.
The minimum number of vectors of unequal magnitude required to produce a zero resultant is:
2
b
4
more than 4.
Given that R=P+Q. which of the following relation s necessarily valid?
P<Q
P>Q
P=Q
none of the above.
The magnitude of the sum of the two vectors is equal to the difference of their magnitudes. What is the angle between the vectors.
00 .
45∘.
900
180∘.
A particle is moving along a circular path with constant speed v. What is the change in speed when the particle completes one fourth of revolution?
Zero
v
√2 v
v/√2.
What is the angle between P and the resultant of (P + Q) and (P−Q) ?
Zero
tan−1 P/Q
tan−1Q/P
tan−1 (P-Q) / (P+Q)
100 coplanar forces each equal to 10N act on a body. Ech force makes angle π/50 with the proceeding force. What is the resultant of the forces
1000 N
500 N
250 N
zero.
There are N coplanar vectors each of magnitudes V. Each vector is inclined to the preceding vector at angle 2π/N. What is the magnitude of their resultant?
NV
V
V/N
Zero.
Which of the following forces can be applied on a body so as not to cause acceleration of the body
6,7,15
8,7,16
5,12,20
9,10,12.
it is found that a body hangs properly when a force of 20 N east and another force of 30N north acts on it. What is the magnitude of the single force that an do the same.
10N
36 N
50 N
None of the above.
The unit vector along i+j is
K
i+j
(i+j)/√2
(i+j)/2
What is the projection of 3i+4k on the y-axis.
3
4
5
none of the above
what is the angel between P+Q and P×Q?
0
π/4
π/2
π.
what is the angle between P+Q and QxP
zero
π/2
π
none of the above
Given that both P and Q are greater than 1. The magnitude of PxQ cannot be :
equal to PQ
less than PQ
more than PQ
equal to P/Q.
A particle of mass m moving with velocity v northwards, collides with another particle of mass m moving with velocity v eastwards. after the collision the two particles coalesce. What is he velocity of the new particle?
√2 v north east
v/√2 north east
2v north east
v/2 north east
Which of the following pairs of displacements cannot be added to produce a resultant displacement of 2 m.
1m & 1m
1m & 2m
1m & 3m.
1m & 4 m.
Given that ∣P+Q∣=∣P−Q∣ This can be true when :
P=0
Q=0
Neither P nor Q is a null vector.
none of the above.
The velocity of a particle 6 ms−1 eastwards changes to 8 ms−1 northwards in 10s. What is the magnitude of the average acceleration during this interval of time?
1.4 ms−2.
1 ms−2.
0.2 ms−2.
none of the above
Given that P=12, Q=5 and R=13. also P+Q=R The angle between P and Q is
0
π/4
π/2
π.
Which of the following vectors is perpendicular to i P cos θ +j Q sinθ ?
iP sinθ + j Q cos θ.
i Q sinθ + j P cos θ.
i P cosθ + j Q sin θ.
i Q cosθ - j P sin θ.
Resultant of two vectors P & Q is inclined at 450 to either of them. What is the magnitude of the resultant?
P+Q
P-Q
[P2+Q2]1/2.
[P2-Q2]1/2.
if P.Q = | P x Q |. The angle between P & Q is:
zero
π/2
π
none.
Three forces are represented by the sides of a triangle in the ratio 100 :173:200. the ratio between the sides of a triangle are:
900,300, 600 .
600,600, 600 .
900,150, 750 .
600,450, 750 .
The resultant of P and Q is perpendicular to P. what is the angle between P & Q?
cos-1 (P/Q)
cos-1 (-P/Q)
sin-1 (P/Q)
sin-1 (-P/Q)
Given that P +Q = R and P+Q = R. The angle between P & Q is:
0
π/4
π/2
π
A man walks for sometime with velocity ν due east. Then he walks for same time with velocity ν due north . the average velocity of the man is :
2ν
√2ν
ν
ν/√2.