MCQ
The relationship between Young's modulus $Y$, Bulk modulus $K$ and modulus of rigidity $\eta$ is
- ✓$Y=\frac{9 \eta K}{\eta+3 K}$
- B$\frac{9 Y K}{Y+3 K}$
- C$\quad Y=\frac{9 \eta K}{3+K}$
- D$Y=\frac{3 \eta K}{9 \eta+K}$
✓
Answer
Correct option: A.
$Y=\frac{9 \eta K}{\eta+3 K}$
(a) $\quad Y=3 K(1-2 \sigma)$ and $Y=2 \eta(1+\sigma)$Eliminating $\sigma$ we get $Y=\frac{9 \eta K}{\eta+3 K}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Which of the following is accompanied by the characteristic $X$-ray emission
→Which one of the following is true in photoelectric emission
What is the value of linear velocity, if $Z 3 \hat{i} 4 \hat{j} \hat{k}$ and $\overrightarrow{ r } \quad 5 \hat{ i } \quad 6 \hat{ j } \quad 6 \hat{ k }$
→A travelling wave in a stretched string is described by the equation $y=A \sin (k x-\omega t)$. The maximum particle velocity is
→The image of point $P$ when viewed from top of the slabs will be
→A bullet of mass $5 g$ is shot from a gun of mass $5 kg$. The muzzle velocity of the bullet is $500 m / s$. The recoil velocity of the gun is
→A man walks on a straight road from his home to a market $2.5 km$ away with a speed of $5 km / h$. Finding the market closed, he instantly turns and walks back home with a speed of $7.5 km / h$. The average speed of the man over the interval of time 0 to $40 min$. is equal to
→In the arrangement shown in figure the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $U$. Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed
→A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4} \mathrm{~A} . \mathrm{m}$. is kept in a magnetic field of $30 \mathrm{~Wb} / \mathrm{m}^2$ at an angle $30^{\circ}$. The couple acting on it is $\times 10^{-4} \mathrm{Nm}$.
→A circular loop of area $0.01\,{m^2}$ carrying a current of $10\, A$, is held perpendicular to a magnetic field of intensity $0.1\,T$. The torque acting on the loop is......$N-m$
→