Download Aptitude Crack
img not found img not found

Mechanical Operations

Q1: For spheres, volume shape factor is given by

A π(=A/D2)

B 2π(=2A/D2)

C π/6(=V/D3)

D AD/V

ANS:C - π/6(=V/D3)

For spheres, the volume shape factor is given by π6(Dd)3\frac{\pi}{6} \left( \frac{D}{d} \right)^36π​(dD​)3, where DDD is the diameter of the sphere and ddd is the diameter of the particle.

Explanation:

  • Volume Shape Factor: This factor is used to relate the volume of an irregularly shaped particle to that of a sphere of equivalent volume. For spheres, this factor simplifies to π6(Dd)3\frac{\pi}{6} \left( \frac{D}{d} \right)^36π​(dD​)3.
  • Key Points:
    • DDD: Diameter of the sphere.
    • ddd: Diameter of the irregularly shaped particle.
    • Dd\frac{D}{d}dD​: Ratio of the sphere diameter to the particle diameter.
    • π6(Dd)3\frac{\pi}{6} \left( \frac{D}{d} \right)^36π​(dD​)3: Represents the factor by which the volume of the irregular particle needs to be adjusted to match the volume of a sphere of diameter DDD.
  • Options Analysis:
    • π(AD2)\pi \left( \frac{A}{D^2} \right)π(D2A​): Not directly related to spheres or volume shape factor.
    • 2π(2AD2)2\pi \left( \frac{2A}{D^2} \right)2π(D22A​): Similar to the above, not applicable for spheres.
    • π6(VD3)\frac{\pi}{6} \left( \frac{V}{D^3} \right)6π​(D3V​): Incorrect representation of volume shape factor for spheres.
    • ADV\frac{AD}{V}VAD​: Incorrect formulation for volume shape factor.
Therefore, for spheres, the correct volume shape factor is π6(Dd)3\frac{\pi}{6} \left( \frac{D}{d} \right)^36π​(dD​)3, where DDD is the diameter of the sphere and ddd is the diameter of the irregularly shaped particle being compared.



img not found
img

For help Students Orientation
Mcqs Questions

One stop destination for examination, preparation, recruitment, and more. Specially designed online test to solve all your preparation worries. Go wherever you want to and practice whenever you want, using the online test platform.