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If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______
- a)0.1 N/mm2
- b)200 kN/mm2
- c)1.33 kN/mm2
- d)0.75 N/mm2
Correct answer is option 'B'. Can you explain this answer?
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If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then b...
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The relationship between Young's Modulus (E), shear modulus (G), Bulk modulus of elasticity (K) and Poisson's ratio (μ)
E = 3K (1 – 2µ)
E = 2G (1 + µ)
E = 9KG/3K+G
Calculation:
Given: E = = 3 x 105 N/mm2, µ = 0.25
E = 3K (1 – 2µ)
3 x 105 = 3K (1- 2(0.25))
Solving this equation we get -
K = 200000 N/mm2
or K = 200 kN/mm2
Most Upvoted Answer
If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then b...
Bulk modulus is a measure of the resistance of a material to compressibility. It is defined as the ratio of volumetric stress to volumetric strain.
The formula for bulk modulus (K) is given by:
K = (Y) / (3(1-2v))
Given:
Young's modulus (Y) = 3 x 10^5 N/mm^2
Poisson's ratio (v) = 0.25
Calculating the bulk modulus using the given values:
Step 1: Substitute the values of Young's modulus and Poisson's ratio into the formula.
K = (3 x 10^5 N/mm^2) / (3(1-2(0.25)))
Step 2: Simplify the expression inside the parentheses.
K = (3 x 10^5 N/mm^2) / (3(1-0.5))
Step 3: Simplify further.
K = (3 x 10^5 N/mm^2) / (3(0.5))
Step 4: Simplify the denominator.
K = (3 x 10^5 N/mm^2) / (1.5)
Step 5: Divide the numerator by the denominator.
K = 2 x 10^5 N/mm^2
Converting the result to kN/mm^2:
K = 200 kN/mm^2
Therefore, the correct answer is option B) 200 kN/mm^2.
The formula for bulk modulus (K) is given by:
K = (Y) / (3(1-2v))
Given:
Young's modulus (Y) = 3 x 10^5 N/mm^2
Poisson's ratio (v) = 0.25
Calculating the bulk modulus using the given values:
Step 1: Substitute the values of Young's modulus and Poisson's ratio into the formula.
K = (3 x 10^5 N/mm^2) / (3(1-2(0.25)))
Step 2: Simplify the expression inside the parentheses.
K = (3 x 10^5 N/mm^2) / (3(1-0.5))
Step 3: Simplify further.
K = (3 x 10^5 N/mm^2) / (3(0.5))
Step 4: Simplify the denominator.
K = (3 x 10^5 N/mm^2) / (1.5)
Step 5: Divide the numerator by the denominator.
K = 2 x 10^5 N/mm^2
Converting the result to kN/mm^2:
K = 200 kN/mm^2
Therefore, the correct answer is option B) 200 kN/mm^2.
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If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer?
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If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer?.
If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If young’s modulus = 3 x 105 N/mm2 and Poisson’s ratio = 0.25 then bulk modulus is _______a)0.1 N/mm2b)200 kN/mm2c)1.33 kN/mm2d)0.75 N/mm2Correct answer is option 'B'. Can you explain this answer?.
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