-
question_answer1)
There are two force vectors, one of 5 N and other of 12 N at what angle the two vectors be added to get resultant vector of 17 N, 7 N and 13 N respectively
A)
\[0{}^\circ \], \[\text{18}0{}^\circ \] and \[\text{9}0{}^\circ \] done
clear
B)
\[0{}^\circ \], \[\text{9}0{}^\circ \] and \[\text{18}0{}^\circ \] done
clear
C)
\[0{}^\circ \], \[\text{9}0{}^\circ \] and \[\text{9}0{}^\circ \] done
clear
D)
\[\text{18}0{}^\circ \], \[0{}^\circ \] and \[\text{9}0{}^\circ \] done
clear
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question_answer2)
If \[\overrightarrow{A}=4\hat{i}-3\hat{j}\] and \[\overrightarrow{B}=6\hat{i}+8\hat{j}\] then magnitude and direction of \[\overrightarrow{A}\,+\overrightarrow{B}\] will be
A)
\[5,\,{{\tan }^{-1}}(3/4)\] done
clear
B)
\[5\sqrt{5},{{\tan }^{-1}}(1/2)\] done
clear
C)
\[10,\,{{\tan }^{-1}}(5)\] done
clear
D)
\[25,\,{{\tan }^{-1}}(3/4)\] done
clear
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question_answer3)
A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be [UPSEAT 1999]
A)
40 m/s N?W done
clear
B)
\[20\sqrt{2}\,\]m/s N?W done
clear
C)
40 m/s S?W done
clear
D)
\[20\sqrt{2}\] m/s S?W done
clear
View Solution play_arrow
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question_answer4)
If the sum of two unit vectors is a unit vector, then magnitude of difference is [CPMT 1995; CBSE PMT 1989]
A)
\[\sqrt{2}\] done
clear
B)
\[\sqrt{3}\] done
clear
C)
\[1/\sqrt{2}\] done
clear
D)
\[\sqrt{5}\] done
clear
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question_answer5)
\[\overrightarrow{A}=2\hat{i}+\hat{j},\,B=3\hat{j}-\hat{k}\] and \[\overrightarrow{C}=6\hat{i}-2\hat{k}\]. Value of \[\overrightarrow{A}-2\overrightarrow{B}+3\overrightarrow{C}\] would be
A)
\[20\hat{i}+5\hat{j}+4\hat{k}\] done
clear
B)
\[20\hat{i}-5\hat{j}-4\hat{k}\] done
clear
C)
\[4\hat{i}+5\hat{j}+20\hat{k}\] done
clear
D)
\[5\hat{i}+4\hat{j}+10\hat{k}\] done
clear
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question_answer6)
An object of m kg with speed of v m/s strikes a wall at an angle q and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be
A)
\[2m\,v\,\cos \theta \] done
clear
B)
\[2\,m\,v\,\sin \theta \] done
clear
C)
0 done
clear
D)
\[2\,m\,v\] done
clear
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question_answer7)
Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is [CBSE PMT 1990]
A)
\[\text{45}{}^\circ \] done
clear
B)
\[\text{12}0{}^\circ \] done
clear
C)
\[\text{15}0{}^\circ \] done
clear
D)
\[\text{6}0{}^\circ \] done
clear
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question_answer8)
For the resultant of the two vectors to be maximum, what must be the angle between them
A)
\[0{}^\circ \] done
clear
B)
\[\text{6}0{}^\circ \] done
clear
C)
\[90{}^\circ \] done
clear
D)
\[\text{18}0{}^\circ \] done
clear
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question_answer9)
A particle is simultaneously acted by two forces equal to 4 N and 3 N. The net force on the particle is [CPMT 1979]
A)
7 N done
clear
B)
5 N done
clear
C)
1 N done
clear
D)
Between 1 N and 7 N done
clear
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question_answer10)
Two vectors \[\overrightarrow{A}\]and \[\overrightarrow{B}\]lie in a plane, another vector \[\overrightarrow{C}\]lies outside this plane, then the resultant of these three vectors i.e.,\[\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}\] [CPMT 1983]
A)
Can be zero done
clear
B)
Cannot be zero done
clear
C)
Lies in the plane containing \[\overrightarrow{A}+\overrightarrow{B}\] done
clear
D)
Lies in the plane containing \[\vec{C}\] done
clear
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question_answer11)
If the resultant of the two forces has a magnitude smaller than the magnitude of larger force, the two forces must be
A)
Different both in magnitude and direction done
clear
B)
Mutually perpendicular to one another done
clear
C)
Possess extremely small magnitude done
clear
D)
Point in opposite directions done
clear
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question_answer12)
Forces \[{{F}_{1}}\] and \[{{F}_{2}}\] act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be [CPMT 1991]
A)
\[{{F}_{1}}+{{F}_{2}}\] done
clear
B)
\[{{F}_{1}}-{{F}_{2}}\] done
clear
C)
\[\sqrt{F_{1}^{2}+F_{2}^{2}}\] done
clear
D)
\[F_{1}^{2}+F_{2}^{2}\] done
clear
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question_answer13)
If \[|\overrightarrow{A}-\overrightarrow{B}|\,=\,|\overrightarrow{A}|\,=\,|\overrightarrow{B}|,\,\]the angle between \[\overrightarrow{A}\]and \[\overrightarrow{B}\] is
A)
\[\text{6}0{}^\circ \] done
clear
B)
\[0{}^\circ \] done
clear
C)
\[\text{12}0{}^\circ \] done
clear
D)
\[\text{9}0{}^\circ \] done
clear
View Solution play_arrow
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question_answer14)
Let the angle between two nonzero vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] be 120° and resultant be \[\overrightarrow{C}\]
A)
\[\overrightarrow{C}\] must be equal to \[|\overrightarrow{A}-\overrightarrow{B}|\] done
clear
B)
\[\overrightarrow{C}\] must be less than \[|\overrightarrow{A}-\overrightarrow{B}|\] done
clear
C)
\[\overrightarrow{C}\] must be greater than \[|\overrightarrow{A}-\overrightarrow{B}|\] done
clear
D)
\[\overrightarrow{C}\] may be equal to \[|\overrightarrow{A}-\overrightarrow{B}|\] done
clear
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question_answer15)
The magnitude of vector \[\overrightarrow{A},\,\overrightarrow{B}\] and \[\overrightarrow{C}\] are respectively 12, 5 and 13 units and \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\] then the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is [CPMT 1997]
A)
0 done
clear
B)
\[\pi \] done
clear
C)
\[\pi /2\] done
clear
D)
\[\pi /4\] done
clear
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question_answer16)
Magnitude of vector which comes on addition of two vectors, \[6\hat{i}+7\hat{j}\] and \[3\hat{i}+4\hat{j}\] is [BHU 2000]
A)
\[\sqrt{136}\] done
clear
B)
\[\sqrt{13.2}\] done
clear
C)
\[\sqrt{202}\] done
clear
D)
\[\sqrt{160}\] done
clear
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question_answer17)
A particle has displacement of 12 m towards east and 5 m towards north then 6 m vertically upward. The sum of these displacements is [AIIMS 1998]
A)
12 done
clear
B)
10.04 m done
clear
C)
14.31 m done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer18)
The three vectors \[\overrightarrow{A}=3\hat{i}-2\hat{j}+\hat{k},\,\,\overrightarrow{B}=\hat{i}-3\hat{j}+5\hat{k}\] and \[\overrightarrow{C}=2\hat{i}+\hat{j}-4\hat{k}\] form
A)
An equilateral triangle done
clear
B)
Isosceles triangle done
clear
C)
A right angled triangle done
clear
D)
No triangle done
clear
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question_answer19)
For the figure
A)
\[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\] done
clear
B)
\[\overrightarrow{B}+\overrightarrow{C}=\overrightarrow{A}\] done
clear
C)
\[\overrightarrow{C}+\overrightarrow{A}=\overrightarrow{B}\] done
clear
D)
\[\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}=0\] done
clear
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question_answer20)
Let \[\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}\] then
A)
\[|\overrightarrow{C|}\] is always greater then \[|\overrightarrow{A}|\] done
clear
B)
It is possible to have \[|\overrightarrow{C}|\,<\,|\overrightarrow{A}|\] and \[|\overrightarrow{C}|\,<\,|\overrightarrow{B}|\] done
clear
C)
C is always equal to A + B done
clear
D)
C is never equal to A + B done
clear
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question_answer21)
The value of the sum of two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] with \[\theta \] as the angle between them is [BHU 1996]
A)
\[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\] done
clear
B)
\[\sqrt{{{A}^{2}}-{{B}^{2}}+2AB\cos \theta }\] done
clear
C)
\[\sqrt{{{A}^{2}}+{{B}^{2}}-2AB\sin \theta }\] done
clear
D)
\[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\sin \theta }\] done
clear
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question_answer22)
Following sets of three forces act on a body. Whose resultant cannot be zero [CPMT 1985]
A)
10, 10, 10 done
clear
B)
10, 10, 20 done
clear
C)
10, 20, 23 done
clear
D)
10, 20, 40 done
clear
View Solution play_arrow
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question_answer23)
When three forces of 50 N, 30 N and 15 N act on a body, then the body is
A)
At rest done
clear
B)
Moving with a uniform velocity done
clear
C)
In equilibrium done
clear
D)
Moving with an acceleration done
clear
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question_answer24)
The sum of two forces acting at a point is 16 N. If the resultant force is 8 N and its direction is perpendicular to minimum force then the forces are [CPMT 1997]
A)
6 N and 10 N done
clear
B)
8 N and 8 N done
clear
C)
4 N and 12 N done
clear
D)
2 N and 14 N done
clear
View Solution play_arrow
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question_answer25)
If vectors P, Q and R have magnitude 5, 12 and 13 units and \[\overrightarrow{P}+\overrightarrow{Q}=\overrightarrow{R},\] the angle between Q and R is [CEET 1998]
A)
\[{{\cos }^{-1}}\frac{5}{12}\] done
clear
B)
\[{{\cos }^{-1}}\frac{5}{13}\] done
clear
C)
\[{{\cos }^{-1}}\frac{12}{13}\] done
clear
D)
\[{{\cos }^{-1}}\frac{7}{13}\] done
clear
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question_answer26)
The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is
A)
\[\text{12}0{}^\circ \] done
clear
B)
\[\text{15}0{}^\circ \] done
clear
C)
\[\text{135}{}^\circ \] done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer27)
What vector must be added to the two vectors \[\hat{i}-2\hat{j}+2\hat{k}\] and \[2\hat{i}+\hat{j}-\hat{k},\] so that the resultant may be a unit vector along x-axis [BHU 1990]
A)
\[2\hat{i}+\hat{j}-\hat{k}\] done
clear
B)
\[-2\hat{i}+\hat{j}-\hat{k}\] done
clear
C)
\[2\hat{i}-\hat{j}+\hat{k}\] done
clear
D)
\[-2\hat{i}-\hat{j}-\hat{k}\] done
clear
View Solution play_arrow
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question_answer28)
What is the angle between \[\overrightarrow{P}\] and the resultant of \[(\overrightarrow{P}+\overrightarrow{Q})\] and \[(\overrightarrow{P}-\overrightarrow{Q})\]
A)
Zero done
clear
B)
\[{{\tan }^{-1}}(P/Q)\] done
clear
C)
\[{{\tan }^{-1}}(Q/P)\] done
clear
D)
\[{{\tan }^{-1}}(P-Q)/(P+Q)\] done
clear
View Solution play_arrow
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question_answer29)
The resultant of \[\overrightarrow{P}\] and \[\overrightarrow{Q}\] is perpendicular to \[\overrightarrow{P}\]. What is the angle between \[\overrightarrow{P}\] and \[\overrightarrow{Q}\]
A)
\[{{\cos }^{-1}}(P/Q)\] done
clear
B)
\[{{\cos }^{-1}}(-P/Q)\] done
clear
C)
\[{{\sin }^{-1}}\,(P/Q)\] done
clear
D)
\[{{\sin }^{-1}}\,(-P/Q)\] done
clear
View Solution play_arrow
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question_answer30)
Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are in the ratio \[3:1.\]Which of the following relations is true
A)
\[P=2Q\] done
clear
B)
\[P=Q\] done
clear
C)
\[PQ=1\] done
clear
D)
None of these done
clear
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question_answer31)
The resultant of two vectors \[\overrightarrow{P}\] and \[\overrightarrow{Q}\] is \[\overrightarrow{R}.\] If Q is doubled, the new resultant is perpendicular to P. Then R equals
A)
P done
clear
B)
(P+Q) done
clear
C)
Q done
clear
D)
(P?Q) done
clear
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question_answer32)
Two forces, \[{{F}_{1}}\] and \[{{F}_{2}}\] are acting on a body. One force is double that of the other force and the resultant is equal to the greater force. Then the angle between the two forces is
A)
\[{{\cos }^{-1}}(1/2)\] done
clear
B)
\[{{\cos }^{-1}}(-1/2)\] done
clear
C)
\[{{\cos }^{-1}}(-1/4)\] done
clear
D)
\[{{\cos }^{-1}}(1/4)\] done
clear
View Solution play_arrow
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question_answer33)
Given that \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\]and that \[\overrightarrow{C}\] is \[\bot \] to \[\overrightarrow{A}\]. Further if \[|\overrightarrow{A}|\,=\,|\overrightarrow{C}|,\]then what is the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\]
A)
\[\frac{\pi }{4}radian\] done
clear
B)
\[\frac{\pi }{2}radian\] done
clear
C)
\[\frac{3\pi }{4}radian\] done
clear
D)
\[\pi \,\,radian\] done
clear
View Solution play_arrow
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question_answer34)
A body is at rest under the action of three forces, two of which are \[{{\vec{F}}_{1}}=4\hat{i},\,{{\vec{F}}_{2}}=6\hat{j},\]the third force is [AMU 1996]
A)
\[4\hat{i}+6\hat{j}\] done
clear
B)
\[4\hat{i}-6\hat{j}\] done
clear
C)
\[-4\hat{i}+6\hat{j}\] done
clear
D)
\[-4\hat{i}-6\hat{j}\] done
clear
View Solution play_arrow
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question_answer35)
A plane is revolving around the earth with a speed of 100 km/hr at a constant height from the surface of earth. The change in the velocity as it travels half circle is [RPET 1998; KCET 2000]
A)
200 km/hr done
clear
B)
150 km/hr done
clear
C)
\[100\,\sqrt{2}\,km/hr\] done
clear
D)
0 done
clear
View Solution play_arrow
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question_answer36)
What displacement must be added to the displacement \[25\hat{i}-6\hat{j}\,\,m\] to give a displacement of 7.0 m pointing in the x- direction
A)
\[18\hat{i}-6\hat{j}\] done
clear
B)
\[32\hat{i}-13\hat{j}\] done
clear
C)
\[-18\hat{i}+6\hat{j}\] done
clear
D)
\[-25\hat{i}+13\hat{j}\] done
clear
View Solution play_arrow
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question_answer37)
A body moves due East with velocity 20 km/hour and then due North with velocity 15 km/hour. The resultant velocity [AFMC 1995]
A)
5 km/hour done
clear
B)
15 km/hour done
clear
C)
20 km/hour done
clear
D)
25 km/hour done
clear
View Solution play_arrow
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question_answer38)
The magnitudes of vectors \[\vec{A},\,\vec{B}\]and\[\vec{C}\]are 3, 4 and 5 units respectively. If \[\vec{A}+\vec{B}=\vec{C}\], the angle between \[\vec{A}\]and \[\vec{B}\]is [CBSE PMT 1990]
A)
\[\frac{\pi }{2}\] done
clear
B)
\[{{\cos }^{-1}}(0.6)\] done
clear
C)
\[{{\tan }^{-1}}\left( \frac{7}{5} \right)\] done
clear
D)
\[\frac{\pi }{4}\] done
clear
View Solution play_arrow
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question_answer39)
While travelling from one station to another, a car travels 75 km North, 60 km North-east and 20 km East. The minimum distance between the two stations is [AFMC 1993]
A)
72 km done
clear
B)
112 km done
clear
C)
132 km done
clear
D)
155 km done
clear
View Solution play_arrow
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question_answer40)
A scooter going due east at 10 ms?1 turns right through an angle of 90°. If the speed of the scooter remains unchanged in taking turn, the change is the velocity of the scooter is [BHU 1994]
A)
\[\text{2}0.0m{{s}^{\text{1}}}\] south eastern direction done
clear
B)
Zero done
clear
C)
\[\text{1}0.0m{{s}^{\text{1}}}\] in southern direction done
clear
D)
\[\text{14}.\text{14}m{{s}^{\text{1}}}\] in south-west direction done
clear
View Solution play_arrow
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question_answer41)
A person goes 10 km north and 20 km east. What will be displacement from initial point [AFMC 1994, 2003]
A)
22.36 km done
clear
B)
2 km done
clear
C)
5 km done
clear
D)
20 km done
clear
View Solution play_arrow
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question_answer42)
Two forces \[{{\vec{F}}_{1}}=5\hat{i}+10\hat{j}-20\hat{k}\]and \[{{\vec{F}}_{2}}=10\hat{i}-5\hat{j}-15\hat{k}\] act on a single point. The angle between \[{{\vec{F}}_{1}}\]and \[{{\vec{F}}_{2}}\] is nearly [AMU 1995]
A)
\[\text{3}0{}^\circ \] done
clear
B)
\[\text{45}{}^\circ \] done
clear
C)
\[\text{6}0{}^\circ \] done
clear
D)
\[\text{9}0{}^\circ \] done
clear
View Solution play_arrow
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question_answer43)
Which pair of the following forces will never give resultant force of 2 N [HP PMT 1999]
A)
2 N and 2 N done
clear
B)
1 N and 1 N done
clear
C)
1 N and 3 N done
clear
D)
1 N and 4 N done
clear
View Solution play_arrow
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question_answer44)
Two forces 3N and 2 N are at an angle q such that the resultant is R. The first force is now increased to 6N and the resultant become 2R. The value of q is [HP PMT 2000]
A)
\[\text{3}0{}^\circ \] done
clear
B)
\[\text{6}0{}^\circ \] done
clear
C)
\[\text{9}0{}^\circ \] done
clear
D)
\[\text{12}0{}^\circ \] done
clear
View Solution play_arrow
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question_answer45)
Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces? Also name the triangle formed by the forces as sides [JIPMER 2000]
A)
\[\text{6}0{}^\circ \] equilateral triangle done
clear
B)
\[\text{12}0{}^\circ \] equilateral triangle done
clear
C)
\[\text{12}0{}^\circ \], \[\text{3}0{}^\circ \], \[\text{3}0{}^\circ \] an isosceles triangle done
clear
D)
\[\text{12}0{}^\circ \] an obtuse angled triangle done
clear
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question_answer46)
If \[|\,\vec{A}+\vec{B}\,|\,=\,|\,\vec{A}\,|+|\,\vec{B}\,|\], then angle between \[\vec{A}\]and \[\vec{B}\] will be [CBSE PMT 2001]
A)
\[\text{9}0{}^\circ \] done
clear
B)
\[\text{12}0{}^\circ \] done
clear
C)
\[0{}^\circ \] done
clear
D)
\[\text{6}0{}^\circ \] done
clear
View Solution play_arrow
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question_answer47)
The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is [Kerala CET (Engg.) 2000]
A)
14 done
clear
B)
16 done
clear
C)
18 done
clear
D)
13 done
clear
View Solution play_arrow
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question_answer48)
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces [CBSE PMT 2003]
A)
Are equal to each other in magnitude done
clear
B)
Are not equal to each other in magnitude done
clear
C)
Cannot be predicted done
clear
D)
Are equal to each other done
clear
View Solution play_arrow
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question_answer49)
y component of velocity is 20 and x component of velocity is 10. The direction of motion of the body with the horizontal at this instant is [Manipal 2003]
A)
\[{{\tan }^{-1}}(2)\] done
clear
B)
\[{{\tan }^{-1}}(1/2)\] done
clear
C)
45° done
clear
D)
0° done
clear
View Solution play_arrow
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question_answer50)
Two forces of 12 N and 8 N act upon a body. The resultant force on the body has maximum value of [Manipal 2003]
A)
4 N done
clear
B)
0 N done
clear
C)
20 N done
clear
D)
8 N done
clear
View Solution play_arrow
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question_answer51)
Two equal forces (P each) act at a point inclined to each other at an angle of 120°. The magnitude of their resultant is [Karnataka CET 2004]
A)
\[P/2\] done
clear
B)
\[P/4\] done
clear
C)
\[P\] done
clear
D)
2P done
clear
View Solution play_arrow
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question_answer52)
The vectors \[5i+8j\]and\[2i+7j\]are added. The magnitude of the sum of these vector is [BHU 2000]
A)
\[\sqrt{274}\] done
clear
B)
38 done
clear
C)
238 done
clear
D)
560 done
clear
View Solution play_arrow
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question_answer53)
Two vectors \[\vec{A}\,\text{ and }\vec{B}\] are such that \[\vec{A}+\vec{B}=\vec{A}-\vec{B}\]. Then [AMU (Med.) 2000]
A)
\[\vec{A}\,.\,\vec{B}=0\] done
clear
B)
\[\vec{A}\times \vec{B}=0\] done
clear
C)
\[\vec{A}=0\] done
clear
D)
\[\overrightarrow{B}=0\] done
clear
View Solution play_arrow