MarksRiser
MarksRiser
Back to Practice
NEETChemistry-Equilibrium

NEET Chemistry Force Balance MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F₁ to F₂ is 1 : x where x = _____.

Question diagram
A

1

B

2

C

3

D

4

Correct Answer

Option C

Detailed Explanation

Explanation

For equilibrium, the net force in both horizontal and vertical directions must be zero.

Horizontal direction:

F1+1cos⁡45∘−2cos⁡45∘=0F_1+1\cos45^\circ-2\cos45^\circ=0 F1=cos⁡45∘=12 NF_1=\cos45^\circ=\frac{1}{\sqrt2}\text{ N}

Vertical direction:

F2=1sin⁡45∘+2sin⁡45∘F_2=1\sin45^\circ+2\sin45^\circ F2=32 NF_2=\frac{3}{\sqrt2}\text{ N}

Therefore,

F1:F2=12:32=1:3F_1:F_2=\frac1{\sqrt2}:\frac3{\sqrt2}=1:3

⚡ Quick Revision

For a body in equilibrium:

  • ΣFx=0\Sigma F_x=0
  • ΣFy=0\Sigma F_y=0
  • Resolve inclined forces into horizontal and vertical components.
x=3\boxed{x=3}

Found an issue with this question?

Related Questions

Explore More Questions

All Chemistry QuestionsEquilibrium Questions