Physics MCQs

Physics

Vectors and Equilibrium


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#73

Resolution of a vector is the process of splitting it into:

A) Two components

B) Multiple components

C) Its rectangular components

D) Both B and C

Answer:   D
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#74

A physical quantity whose direction is opposite to its magnitude is a:

A) Scalar

B) Vector

C) Null vector

D) Unit vector

Answer:   B
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#75

The magnitude of a vector $\vec{A}$ is given by:

A) $A_x + A_y$

B) $\sqrt{A_x^2 + A_y^2}$

C) $A_x A_y$

D) $A_x/A_y$

Answer:   B
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#76

The condition for equilibrium of a body in two dimensions is:

A) $\sum F_x = 0$ only

B) $\sum F_y = 0$ only

C) $\sum F_x = 0$ and $\sum F_y = 0$

D) $\sum F_x = 0$, $\sum F_y = 0$, and $\sum \tau = 0$

Answer:   D
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#77

If the resultant of two vectors $\vec{A}$ and $\vec{B}$ is a vector $\vec{R}$, and $R=A+B$, the angle between $\vec{A}$ and $\vec{B}$ is:

A) $0^\circ$

B) $90^\circ$

C) $180^\circ$

D) $45^\circ$

Answer:   A
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#78

The law of cosines for vector addition is given by:

A) $R^2 = A^2 + B^2$

B) $R^2 = A^2 + B^2 + 2AB\cos\theta$

C) $R^2 = A^2 + B^2 - 2AB\cos\theta$

D) $R = \sqrt{A^2 + B^2}$

Answer:   B
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#79

A body in neutral equilibrium has its center of gravity:

A) Raised upon displacement

B) Lowered upon displacement

C) At the same height upon displacement

D) None of these

Answer:   C
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#80

The scalar product of $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = 4\hat{i} - 5\hat{j}$ is:

A) 23

B) -7

C) 8

D) 15

Answer:   B
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