**Theorems of Perpendicular and Parallel Axes MCQs and Answers** will be useful for various entrance exam like NEET, AIIMS, JEE. It includes an extensive section of physics and chemistry. These chapter covers each and every topic of System of Particles and Rotational Motion and more. It also contains chapter-wise MCQs with hints and options to make your preparation easy. We also published * System Of Particles And Rotational Motion MCQs and Answers* which are most important and relevant topic to your upcoming examination.

## Theorems of Perpendicular and Parallel Axes MCQs

**1. The moment of inertia of a planar disc about a diameter is 8kgm**^{2}**. What is the moment of inertia about an axis passing through its centre and perp****endicular to the plane of disc?**

^{2}

a) 8kgm^{2}

b) 16kgm^{2}

c) 4kgm^{2}

d) 2?2kgm^{2}

**Answer****:** b

**2. Let I**_{1}** be the moment of inertia about the centre of mass of a thick asymmetrical body. Let I**_{2}** be the moment of inertia about an axis parallel to I**_{1}**. The distance between the two axes is ‘a’ & the mass of the body is ‘m’. Find the relation between I**_{1}** & I**_{2}**.**

_{1}

_{2}

_{1}

_{1}

_{2}

a) I_{2} = I_{1} – ma^{2}

b) I_{1} = I_{2} – ma^{2}

c) I_{2} = I_{1}

d) Parallel axis theorem can’t be used for a thick asymmetrical body

**Answer****:** b

**3****. What is the moment of inertia of a rod, of mass 1kg & length 6m, about an axis perpendicular to rod’s length and at a**** distance of 1.5m from one end?**

a) 0.75kgm^{2}

b) 3kgm^{2}

c) 5.25kgm^{2}

d) 14.25kgm^{2}

**Answer:** c

**4. The moment of inertia of a ring about a tangent is 4kgm**^{2}**. What is the moment of inertia about an axis passing through the centre of the ring and perpendicular to its plane****? Mass of th****e ring is 2kg & diameter is 2m.**

^{2}

a) 2kgm^{2}

b) 4kgm^{2}

c) 8kgm^{2}

d) 1kgm^{2}

**Answer: **b

**5****. The moment of inertia of a planar square about a planar axis parallel to one side is 10kgm**^{2}**. What is the mome****nt of inertia about a diagonal?**

^{2}

a) 10kgm^{2}

b) 5kgm^{2}

c) 20kgm^{2}

d) 1kgm^{2}

**Answer****: **a

**6****. A planar body is lying in the xz plane. What is the relation between its moment of i****nertia along the x, y & z axes?**

a) I_{z} = I_{x} + I_{y}

b) I_{x} = I_{x} + I_{z}

c) I_{y} = I_{x} + I_{z}

d) I_{z} = I_{x} = I_{y}

Answer**: **c

**7****. Perpendicular axis theorem can be applied for**** which of the following bodies?**

a) Ring having radius R & negligible cross section

b) Disc of radius R and thickness t

c) Cylinder of radius R and height h

d) A cube of side ‘a’

**Answer: **a

**8. Consider two perpendicular axis in the plane of a planar body, such that I**_{1}** = 2 I**_{2}**. The moment**** of inertia about an axis perpendicular to the plane and passing through intersection of I**_{1}** & I**_{2}** is 9kgm**^{2}**. Find the value of I**_{1}**& I**_{2}**.**

_{1}

_{2}

_{1}

_{2}

^{2}

_{1}

_{2}

a) I_{1} = 9kg m^{2}, I_{2} = 4.5kgm^{2}

b) I_{1} = 3kg m^{2}, I_{2} = 6kg m^{2}

c) I_{1} = 6kg m^{2}, I_{2} = 3kg m^{2}

d) I_{1} = 18kg m^{2}, I_{2} = 9kg m^{2}

**Answer: **c