NEET Chemistry MCQs

Three coplanar forces $\vec{F_1}$, $\vec{F_2}$, and $\vec{F_3}$ act on a point object such that the object is in equilibrium. If $|\vec{F_1}| = 10$ N, $|\vec{F_2}| = 15$ N and the angle between $\vec{F_1}$ and $\vec{F_2}$ is 60°, then the magnitude of $\vec{F_3}$ is closest to:

Three coplanar vectors $\vec{A}$, $\vec{B}$, and $\vec{C}$ have magnitudes A, B, and C respectively. If $\vec{A} + \vec{B} + \vec{C} = 0$, and the angle between $\vec{A}$ and $\vec{B}$ is $\alpha$, the angle between $\vec{B}$ and $\vec{C}$ is $\beta$, and the angle between $\vec{C}$ and $\vec{A}$ is $\gamma$, which of the following relations must hold true?

Two forces of magnitudes 3 N and 4 N act at a point at right angles to each other. A third force F is applied at the same point such that the system is in equilibrium. The magnitude and direction of F relative to the 3 N force are:

Three forces $F_1$, $F_2$, and $F_3$ are acting on a particle such that the particle is in equilibrium. If $F_1$ = 10 N and $F_2$ = 15 N, and the angle between $F_1$ and $F_2$ is 120°, then what is the magnitude of $F_3$?

A body is acted upon by three forces of magnitudes 2 N, 4 N, and 3 N, respectively. The angle between the first two forces is 60°, and the angle between the last two forces is 90°. If the body is in equilibrium, which of the following statements about the forces is correct?

A weight of 10 N is suspended by two strings inclined at 30° and 60° to the vertical. The tensions in the strings are $T_1$ and $T_2$, respectively. Which of the following is correct?

If three forces acting at a point are in equilibrium, which theorem can be used to determine the relationship between the forces?

Which law states that if a number of forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the forces are in equilibrium?

A particle is subjected to three concurrent forces represented by vectors $\vec{F_1} = 2\hat{i} - \hat{j} + 3\hat{k}$ N, $\vec{F_2} = \hat{i} + 2\hat{j} - \hat{k}$ N, and $\vec{F_3} = a\hat{i} + b\hat{j} + c\hat{k}$ N. If the particle remains in equilibrium, the magnitude of the vector $\vec{A} = a\hat{i} + 2b\hat{j} + 3c\hat{k}$ is:

If three forces acting at a point are in equilibrium, then according to Lami's theorem, each force is proportional to: