1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium

You are in the right place to get 1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium. Here you will find important MCQs to prepare for the entrance test. This chapter is about Vectors which are the physical quantities that have both direction and numerical properties. So, at the beginning of the chapter, there are some basic concepts of vectors. Then there is the addition of these vectors by the rectangular components. After this, we have the product of two vectors. There are two types of vector multiplication. One is a scalar or dot product and the other is a vector or cross product. Then there is the concept of Torque. After this, we have the equilibrium of forces. There is the first condition of equilibrium and then there is the second condition of equilibrium. Check important MCQs of this chapter below.

1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium

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Physics Chapter 2

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1. Let V = (2.00 m)ˆi + (6.00 m)ˆj − (3.00 m) ˆk. The magnitude of V is:

A) 5.00 m

B) 7.42 m

C) 7.00 m

D) 5.57 m

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2. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is:

A) 25 m

B) 20 m

C) 15 m

D) zero

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3. Two vectors lie with their tails at the same point. When the angle between them is increased by 20◦ their scalar product has the same magnitude but changes from positive to negative. The original angle between them was:

A) 80◦

B) 70◦

C) 0

D) 60◦

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4. Two vectors lie with their tails at the same point. When the angle between them has increased by 20◦ the magnitude of their vector product doubles. The original angle between them was about:

A) 0

B) 45◦

C) 25◦

D) 18◦

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5. A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x-axis and the negative y-axis and makes an angle of 30◦ with the x-axis. Its y component is:

A) −6

B) 6/ √3

C) 6

D) −6 √3

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6. If the x component of a vector An, in the xy-plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x-axis is:

A) √3

B) √3/2

C) 1/2

D) 3/2

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7. If An = (6 m)ˆi − (8 m)ˆj then 4An has magnitude:

A) 30 m

B) 10 m

C) 20 m

D) 40 m

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8. A vector in the xy plane has a magnitude of 25 m and an x component of 12 m. The angle it makes with the positive x-axis is:

A) 26◦

B) 29◦

C) 61◦

D) 64◦

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9. If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then:

A) the scalar product of the vectors must be negative

B) the scalar product of the vectors must be positive

C) none of the above

D) the vectors must be parallel and in opposite directions

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10. The angle between An = (25 m)ˆi + (45 m)ˆj and the positive x-axis is:

A) 209◦

B) 61◦

C) 29◦

D) 151◦

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11. A certain vector in the xy-plane has an x component of 4 m and a y component of 10 m. It is then rotated in the xy-plane so its x component is doubled. Its new y component is about:

A) 5.0 m

B) 7.2 m

C) 20 m

D) 4.5 m

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12. Two vectors have magnitudes of 10 m and 15 m. The angle between them when they are drawn with their tails at the same point is 65◦. The component of the longer vector along the line perpendicular to the shorter vector, in the plane of the vectors, is:

A) 6.3 m

B) 4.2 m

C) 0

D) 14 m

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13. Vectors A and B each have magnitude L. When drawn with their tails at the same point, the angle between them is 60◦. The magnitude of the vector product A × B is:

A) L^2

B) √ 3L^2/2

C) 2L^2

D) L^2/2

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14. Vectors A and B each have magnitude L. When drawn with their tails at the same point, the angle between them is 30◦. The value of A· B is:

A) L^2

B) zero

C) √3L^2/2

D) 2L^2

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15. If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:

A) the scalar product of the vectors must be negative

B) the vectors must be parallel and in the same direction

C) the vectors must be parallel and in opposite directions

D) the scalar product of the vectors must be positive

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16. A vector in the xy plane has a magnitude of 25 m and an x component of 12 m. The angle it makes with the positive x-axis is:

A) 26◦

B) 29◦

C) 61◦

D) 64◦

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17. The angle between An = (−25 m)ˆi + (45 m)ˆj and the positive x-axis is:

A) 119◦

B) 151◦

C) 29◦

D) 61◦

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1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium

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