Question : Which of the following is the correct formula for the moment of inertia?
Option 1: I = mr2
Option 2: I = rm2
Option 3: I = m/r2
Option 4: I = 2mr
Correct Answer: I = mr2
Solution : The correct answer is l = mr2.
The formula for the moment of inertia is the sum of the product of the mass of each particle with the square of its distance from the axis of the rotation.
The unit of the moment of inertia is kg.m2.
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Question : The length and breadth of a cuboidal store are in the ratio 2 : 1 and its height is 3.5 metres. If the area of its four walls (including doors) is 210 m2, its volume is ____.
Option 1: 679 m3
Option 2: 700 m3
Option 3: 567 m3
Option 4: 1050 m3
Question : Which of the following pairs is correct?
Option 1: 23.5o South - Tropic of Cancer
Option 2: 23.5o South - Tropic of Capricorn
Option 3: 23.5o North - Tropic of Capricorn
Option 4: 66o North - Antarctic Circle
Question : The length of cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.
Option 1: 1290.6 m2
Option 2: 1275.3 m2
Option 3: 1265.25 m2
Option 4: 1282.5 m2
Question : The diagonal of a quadrilateral-shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is:
Option 1: 252 m2
Option 2: 156 m2
Option 3: 96 m2
Option 4: 1152 m2
Question : A field is in the form of a circle. The cost of fencing around it at INR 12 per metre is INR 2,640. What is the area (in m2) of the field? (Take $\pi=\frac{22}{7}$)
Option 1: 1,925 m2
Option 2: 3,850 m2
Option 3: 2,772 m2
Option 4: 5,544 m2
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