The Question is from neet-physics properties-solids-liquids relation-between-yk-and-rigidity-modules, and it was created by the author Mr. ANIL KUMAR.G

Question

The relationship between Young's modulus (Y), Bulk modulus (K), and rigidity modulus (η) is given by:

Mr. ANIL KUMAR.G · Accepted Answer

## CORE INFORMATION
✓ **Answer**: A
## CONCEPT FRAMEWORK
	**Primary Concept**: Elasticity
	**Related Topics**: Young's Modulus, Bulk Modulus, Rigidity Modulus
	**Prerequisites**: Definitions of the moduli and their interrelation.
## SOLUTION PATHWAY
**Given Information**:
	We are asked to find the relationship between Y, K, and η.
**Method & Steps**:
	1. Recall the relationship between Y, K, and η.
		Reasoning: The relationship connects the three elastic moduli.
		Formula/Rule: $\frac{9}{Y} = \frac{1}{K} + \frac{3}{η}$
	2. Match the correct option.
		Working: The derived formula directly matches option A.
		Key Point: This formula is crucial in material science and solid mechanics.
	3. Select option A.
		Result: $\frac{9}{Y} = \frac{1}{K} + \frac{3}{η}$
		Verification: This is a standard formula and doesn't require further verification.
## OPTION ANALYSIS
[A] ✓: $\frac{9}{Y} = \frac{1}{K} + \frac{3}{η}$ is the correct relationship.
[B] :x: $\frac{9}{Y} = \frac{3}{K} + \frac{1}{η}$ is incorrect. The coefficients of K and η are swapped.
[C] :x: $\frac{1}{Y} = \frac{9}{K} + \frac{3}{η}$ is incorrect. The coefficients are inverted.
[D] :x: $\frac{3}{Y} = \frac{1}{K} + \frac{9}{η}$ is incorrect. The coefficients and the factor multiplying Y are incorrect.
## LEARNING AIDS
	**Common Mistakes**:
		1. Confusing the coefficients of K and η: Remember that the coefficient of η is 3 times the coefficient of K.
		2. Inverting the formula: Remember that 9 is divided by Y.
	**Quick Tips**:
		1. Remember the mnemonic '9/Y = 1/K + 3/η'.
		2. Practice deriving this formula from the basic definitions of the moduli to strengthen understanding.

Mr. ANIL KUMAR.G · Answer

The correct Option is "9/Y = 1/K + 3/η"

Mr. ANIL KUMAR.G · Answer

9/Y = 3/K + 1/η

Mr. ANIL KUMAR.G · Answer

1/Y = 9/K + 3/η

Mr. ANIL KUMAR.G · Answer

3/Y = 1/K + 9/η

NEET Physics Mechanical Properties Of Solids Relation Between Y,K And Rigidity Modules MCQs

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