23. The resultant of two equal forces is double of either ofthe force. The angle between them is (b) 60 (s) 90 (a) 120"

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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37. The resultant of vectors 3 units in cast 12 units in north
and 4 units vertically upward is
(a) J
23. The resultant of two equal forces is double of either of the
force. The angle between them is
(a) o
24, Fol the resultant of two vectors to be maximum, what
must be the angle between them?
(a) 0°
Two forces of magnitude 7N and SN act on a particle at
an angle e to each other , e can have any value the
minimum magnitude of resultant force is
(a) 2N
(c) v265
(d 19
38. A particle is moving on a circular path with constant
speed v. What is the change in its velocity after it has
described an angle of 60?
(a) v2
(b) 60
(c) 90
(a) 120°
(b) 13
(b) 60°
e) 90
(a) 180
(c) v
(d) 2v
(c)
(b) 0
39. A force of (77 +6k ) newton makes a body more on a
rough plane with a velocity of (37+4k)ms". Caleulate
(b) SN
(c) 8N
(d) 12N
the power in watt
(a) 24
26. If A is a vector of magnitude 4 units due East. What is
(d) 45
(b) 34
(c) 21
the magnitude and direction of a vector - 4 A ?
(a) 4 units due East
(c) 16 units due East
27. A force of 10N acts on a particle along a direction
making an angle of 60° with the vertical. What is the
component of the force in the vertical direction ?
(a) 10N
28. The magnitude of a given vector whose end points are at
40. If A and B are two vectors, which is not correct?
(b) 8 units due East
(a) A+B = B+A
(b) -B-(B-A)
(d) 16 units due West
(c) Ax B= Bx A
41. If the vector A=2i+4j and B=Si- pj are parallel
(d) A.B = B.A
to each other, the magnitude of B is
(a) 5 5
If Ax B =0 and B.A=-AB the angle between A
(b) SN
(c) 2N
(d) IN
(b) 10
(c) 15
(d) 2/5
(4. -4) and (-2, -2) must be
(a) 210 (b) 4/2
(c) 5/10
29. If A= 2i-2j+7k and B=-2i +j+k, then A.B
(d) 6/3
and Bis
(a) zero
(b) n/4
(c) n2
(d) t
is equal to
(a) 0
43. If A=-4i+3 and B= 2i+5j and C = AxB,
(b) I
(c) 5
(d) 7
30. If A=i+2k and B=}-k, then A×Bis equal to
then the vector C makes an angle of
(a) 45° with X axis
(c) 0" with Z-axis
44. The resultant of two forces (A+B) and (A - B) is a force
(b) 180° with Y axis
(d) 180° with Z-axis
(a) 21--k
(b) -2î ++R
(d) 2î +}– 2k
31. If the magnitudes of scalar and vector products of two
V34 + B. The angle between two given forces is
(a) n/4
(b) T/3
(c) 2
(d)
45. If A and B denote the sides of a parallelogram and its
vectors are 6 and 6 V3 respectively, then the angle
between two vectors is
area is
AB (A and B are the magnitude of A and
(a) 15°
32. The arca of a parallelogram whose adjacent sides are
P=2i+3) and O=i+4j is
(b) 30°
(c) 60°
(d) 75°
B respectively), the angle between A and B is
(a) 30
46. If a vector A makes an angle a, B and y respectively with
the X, Y and Z axes respectively. Then sin a + sin B
sin'y is equal to
(a) 0
(b) 60°
(c) 45
(d) 120
(a) 5 square units
(c) 20 square units
(b) 15 square units
(d) 25 square units
33. A vector F is along the positive x-axis. If its vector
(c) 2
47. The resultant of A and B is perpendicular to A. What
(b) I
(d) 3
product with another vector F, is zero, then F, will be
(e) -4k
(ixB)and (Bx 4) is
is the angle between A and B?
(a) cos" (A/B)
(c) sin (A/B)
48. Given that A and B are greater than 1. The magnitude of
(a) 4}
(b) -4?
(b) cos (-A/B)
(d) sin (-A/B)
(d) -4
34. The angle between the vectors
(Ax B) can not be
(a) zero (b) n radians (c) 3n radians (d) 5n radians
35. The square of resultant of two equal forces is three times
their product. Angle between the force is
(a) equal to AB
(c) more than AB
(b) less than AB
(d) equal to A/B
49. Consider a vector F = 4i-3 j. Another vector that is
(a) n
(b) n/2
(c) T/4
(d) /3
perpendicular to F is
36. Three vectors A, B and Csatisfy the relation A.B-0
and A.C-0. If B and C
(a) 4î + 3 (b) 6?
(c) 7R
(d) 3i -47
%3D0.
are not lying in the same
50. If A and B are two vectors and 0 is the angle between
plane, then A is parallel to
(a) B
them, then A.B=0. When
(b) C
(c) BxC
(a) A-0 (b) B-0 (c) 0= /2 (d) any one of them
(d) B.C
Transcribed Image Text:37. The resultant of vectors 3 units in cast 12 units in north and 4 units vertically upward is (a) J 23. The resultant of two equal forces is double of either of the force. The angle between them is (a) o 24, Fol the resultant of two vectors to be maximum, what must be the angle between them? (a) 0° Two forces of magnitude 7N and SN act on a particle at an angle e to each other , e can have any value the minimum magnitude of resultant force is (a) 2N (c) v265 (d 19 38. A particle is moving on a circular path with constant speed v. What is the change in its velocity after it has described an angle of 60? (a) v2 (b) 60 (c) 90 (a) 120° (b) 13 (b) 60° e) 90 (a) 180 (c) v (d) 2v (c) (b) 0 39. A force of (77 +6k ) newton makes a body more on a rough plane with a velocity of (37+4k)ms". Caleulate (b) SN (c) 8N (d) 12N the power in watt (a) 24 26. If A is a vector of magnitude 4 units due East. What is (d) 45 (b) 34 (c) 21 the magnitude and direction of a vector - 4 A ? (a) 4 units due East (c) 16 units due East 27. A force of 10N acts on a particle along a direction making an angle of 60° with the vertical. What is the component of the force in the vertical direction ? (a) 10N 28. The magnitude of a given vector whose end points are at 40. If A and B are two vectors, which is not correct? (b) 8 units due East (a) A+B = B+A (b) -B-(B-A) (d) 16 units due West (c) Ax B= Bx A 41. If the vector A=2i+4j and B=Si- pj are parallel (d) A.B = B.A to each other, the magnitude of B is (a) 5 5 If Ax B =0 and B.A=-AB the angle between A (b) SN (c) 2N (d) IN (b) 10 (c) 15 (d) 2/5 (4. -4) and (-2, -2) must be (a) 210 (b) 4/2 (c) 5/10 29. If A= 2i-2j+7k and B=-2i +j+k, then A.B (d) 6/3 and Bis (a) zero (b) n/4 (c) n2 (d) t is equal to (a) 0 43. If A=-4i+3 and B= 2i+5j and C = AxB, (b) I (c) 5 (d) 7 30. If A=i+2k and B=}-k, then A×Bis equal to then the vector C makes an angle of (a) 45° with X axis (c) 0" with Z-axis 44. The resultant of two forces (A+B) and (A - B) is a force (b) 180° with Y axis (d) 180° with Z-axis (a) 21--k (b) -2î ++R (d) 2î +}– 2k 31. If the magnitudes of scalar and vector products of two V34 + B. The angle between two given forces is (a) n/4 (b) T/3 (c) 2 (d) 45. If A and B denote the sides of a parallelogram and its vectors are 6 and 6 V3 respectively, then the angle between two vectors is area is AB (A and B are the magnitude of A and (a) 15° 32. The arca of a parallelogram whose adjacent sides are P=2i+3) and O=i+4j is (b) 30° (c) 60° (d) 75° B respectively), the angle between A and B is (a) 30 46. If a vector A makes an angle a, B and y respectively with the X, Y and Z axes respectively. Then sin a + sin B sin'y is equal to (a) 0 (b) 60° (c) 45 (d) 120 (a) 5 square units (c) 20 square units (b) 15 square units (d) 25 square units 33. A vector F is along the positive x-axis. If its vector (c) 2 47. The resultant of A and B is perpendicular to A. What (b) I (d) 3 product with another vector F, is zero, then F, will be (e) -4k (ixB)and (Bx 4) is is the angle between A and B? (a) cos" (A/B) (c) sin (A/B) 48. Given that A and B are greater than 1. The magnitude of (a) 4} (b) -4? (b) cos (-A/B) (d) sin (-A/B) (d) -4 34. The angle between the vectors (Ax B) can not be (a) zero (b) n radians (c) 3n radians (d) 5n radians 35. The square of resultant of two equal forces is three times their product. Angle between the force is (a) equal to AB (c) more than AB (b) less than AB (d) equal to A/B 49. Consider a vector F = 4i-3 j. Another vector that is (a) n (b) n/2 (c) T/4 (d) /3 perpendicular to F is 36. Three vectors A, B and Csatisfy the relation A.B-0 and A.C-0. If B and C (a) 4î + 3 (b) 6? (c) 7R (d) 3i -47 %3D0. are not lying in the same 50. If A and B are two vectors and 0 is the angle between plane, then A is parallel to (a) B them, then A.B=0. When (b) C (c) BxC (a) A-0 (b) B-0 (c) 0= /2 (d) any one of them (d) B.C
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