Question:medium

The relation of three elastic constants of a metal in terms of Young's Modulus (E), Modulus of rigidity (G) and Bulk Modulus (K) is expressed as

Show Hint

An easy way to remember this formula is to memorize its reciprocal form: \( \frac{9}{E} = \frac{3}{G} + \frac{1}{K} \). Finding a common denominator and flipping this reciprocal equation gives the standard formula directly!

Updated On: Jul 9, 2026

\( E = \frac{3\text{KG}}{(3\text{K}+\text{G})} \)
\( E = \frac{6\text{KG}}{(3\text{K}+\text{G})} \)
\( E = \frac{8\text{KG}}{(3\text{K}+\text{G})} \)
\( E = \frac{9\text{KG}}{(3\text{K}+\text{G})} \)

Show Solution

The Correct Option is D

Solution and Explanation

Was this answer helpful?

Questions Asked in TS PGECET exam

The Eigenvalues of \(3\times 3\) real matrix A are 1, 2, 3 then \(A^{-1} =\)

TS PGECET - 2026
Linear Algebra

View Solution

Let \(A=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}\). If \(u_1\) and \(u_2\) are column matrices such that \(Au_1 = \begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix}\) and \(Au_2 = \begin{bmatrix} 1 \\ 0 \\ 1 \end{bmatrix}\), then \(u_1 - u_2\) is

TS PGECET - 2026
Matrices

View Solution

Let \(a,b\) and \(c\) be real numbers. Suppose there exist real numbers \(x,y,z\) which are not all zero such that the system of equations \(x = cy + bz\), \(y = cx + az\) and \(z = bx + ay\) has a non-zero solution then \(\left(a+b+c\right)^2 =\)

TS PGECET - 2026
Determinants

View Solution

For the function \(f(x)=\log x\), the number \(c\) strictly between \(e^2\) and \(e^3\) that satisfies \(f'(c)=\dfrac{f(e^3)-f(e^2)}{e^3-e^2}\) is

TS PGECET - 2026
Calculus

View Solution

The relation of three elastic constants of a metal in terms of Young's Modulus (E), Modulus of rigidity (G) and Bulk Modulus (K) is expressed as

Show Hint

The Correct Option is D

Solution and Explanation

Top Questions on Strength of Materials

Questions Asked in TS PGECET exam