Question
The Young’s modulus for steel is much more than that for rubber. For the same longitudinal strain, which one will have greater tensile stress?
✓
Answer
$\text{Y}=\frac{\text{stress}}{\text{strain}}$ As per question longitudinal strain for rubber and steel are equal.$\therefore\text{Y}\propto\text{stress}$
$\therefore\frac{\text{Y}_\text{steel}}{\text{Y}_\text{Rubber}}=\frac{\text{(stress})_\text{steel}}{\text{(stress})_\text{Rubber}}\text{ As the Y}_\text{steel}>\text{Y}_\text{Rubber}$
$\therefore\frac{\text{Y}_\text{steel}}{\text{Y}_\text{Rubber}}>1$
$\therefore\text{(stress})_\text{steel}$ is larger than $\text{(stress})_\text{Rubber}$
$\therefore\frac{\text{Y}_\text{steel}}{\text{Y}_\text{Rubber}}=\frac{\text{(stress})_\text{steel}}{\text{(stress})_\text{Rubber}}\text{ As the Y}_\text{steel}>\text{Y}_\text{Rubber}$
$\therefore\frac{\text{Y}_\text{steel}}{\text{Y}_\text{Rubber}}>1$
$\therefore\text{(stress})_\text{steel}$ is larger than $\text{(stress})_\text{Rubber}$
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
The wavelength $\lambda$ associated with a moving particle depends upon its mass m , its velocity v and Planck's constant h. Show dimensional relation between them.
→The mass of planet Jupiter is $1.9 \times 10^{27} kg$ and that of the sun is $1.99 \times 10^{30} kg$. The mean distance of Jupiter from the Sun is $7.8 \times 10^{11} m$. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.
→Which of the two persons shown in figure is more likely to fall down? Which external force is responsible for his falling down? 
A child blows air at one end of a straw and slowly cuts pieces of the straw from the other end. What will be the outcome that will be observed?
A block of mass 2kg is pushed against a rough vertical wall with a force of 40N, coefficient of static friction being 0.5. Another horizontal force of 15N, is applied on the block in a direction parallel to the wall. Will the block move? If yes, in which direction? If no, find the frictional force exerted by the wall on the block.
Calculate the work done by a car against gravity in moving along a straight horizontal road. The mass of the car is 400kg and the distance moved is 2m.
Two monoatomic ideal gases 1 and 2 of molecular masses $m_1$ and $m_2$ respectively are enclosed in separate containers kept at the same temperature. What is the ratio of the speed of sound in gas 1 to that in gas 2 ?
→A transverse harmonic wave on a string is described by
$\text{y}(\text{x, t})=3.0\sin\big(36\text{t}+0.018\text{x}+\frac{\pi}{4}\big)$
where x and y are in cm and t in s. The positive direction of x is from left to right.
What are its amplitude and frequency?
→$\text{y}(\text{x, t})=3.0\sin\big(36\text{t}+0.018\text{x}+\frac{\pi}{4}\big)$
where x and y are in cm and t in s. The positive direction of x is from left to right.
What are its amplitude and frequency?
Earthquake generate wave within the earth unlike gasous. Earth can sense both transverse (s) and longitudnal ( $P$ ) waves. The speed of $S$ wave is about 4.0 $km S ^{-1}$ and speed of $P$ wave is about $8 km s ^{-1}$. A seismometer records the $P$ and $S$ wave of an earth quake. The first $P$ wave arrives 4 minute earlier than first $S$ wave. Assuming that the wave travels in straight line. Find out what is the distance to the place where the earthquake occur.
→Two soap bubbles of radii 6cm and 8cm coalesce to form a single bubble. Find the radius of the new bubble.