मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following question. What is thermal stress?

Advertisements
Advertisements

प्रश्न

Answer the following question.

What is thermal stress?

व्याख्या
टीपा लिहा
Advertisements

उत्तर

  1. Consider a metallic rod of length l0 fixed between two rigid supports at T °C.
  2. If the temperature of rod is increased by ΔT, length of the rod would become, l = l0 (1 + αΔT) Where, α is the coefficient of linear expansion of the material of the rod.
  3. But the supports prevent the expansion of the rod. As a result, rod exerts stress on the supports. Such stress is termed as thermal stress.
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Thermal Properties of Matter - Exercises [पृष्ठ १४०]

APPEARS IN

बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 7 Thermal Properties of Matter
Exercises | Q 2. (xvi) | पृष्ठ १४०

संबंधित प्रश्‍न

A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250 °C, if the original lengths are at 40.0 °C? Is there a ‘thermal stress’ developed at the junction? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0 × 10–5 K–1, steel = 1.2 × 10–5 K–1).


The coefficient of volume expansion of glycerin is 49 × 10–5 K–1. What is the fractional change in its density for a 30 °C rise in temperature?


A 10 kW drilling machine is used to drill a bore in a small aluminium block of mass 8.0 kg. How much is the rise in temperature of the block in 2.5 minutes, assuming 50% of power is used up in heating the machine itself or lost to the surroundings Specific heat of aluminium = 0.91 J g–1 K–1


If mercury and glass had equal coefficients of volume expansion, could we make a mercury thermometer in a glass tube?


A system X is neither in thermal equilibrium with Y nor with Z. The systems Y and Z


A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is unstrained at 20°C.
Find the longitudinal strain developed in the rod if the temperature rises to 50°C. Coefficient of linear expansion of steel = 1.2 × 10–5 °C–1.


Show that the moment of inertia of a solid body of any shape changes with temperature as I = I0 (1 + 2αθ), where I0 is the moment of inertia at 0°C and α is the coefficient of linear expansion of the solid.


Answer the following question.

Give an example of the disadvantages of thermal stress in practical use?


An iron plate has a circular hole of a diameter 11 cm. Find the diameter of the hole when the plate is uniformly heated from 10° C to 90° C.`[alpha = 12 xx 10^-6//°"C"]`


A hot body at a temperature 'T' is kept in a surrounding of temperature 'T0'. It takes time 't1' to cool from 'T' to 'T2', time t2 to cool from 'T2' to 'T3' and time 't3' to cool from 'T3' to 'T4'. If (T - T2) = (T2 - T3) = (T3 - T4), then ______.


A metal rod of length Land cross-sectional area A is heated through T °C. What is the force required to prevent the expansion of the rod lengthwise?

(Y = Young's modulus of material of the rod, α = coefficient of linear expansion of the rod.)


The volume of a metal block changes by 0.86% when heated through 200 °C then its coefficient of cubical expansion is ______.


A bimetallic strip is made of aluminium and steel (αAl > αsteel) . On heating, the strip will ______.


As the temperature is increased, the time period of a pendulum ______.


If the length of a cylinder on heating increases by 2%, the area of its base will increase by ______.


An anisotropic material has coefficient of linear thermal expansion α1, α2 and α3 along x, y and z-axis respectively. Coefficient of cubical expansion of its material will be equal to ______.


A metal ball immersed in water weighs w1 at 0°C and w2 at 50°C. The coefficient of cubical expansion of metal is less than that of water. Then ______.


A disc is rotating freely about its axis. The percentage change in angular velocity of a disc if temperature decreases by 20°C is ______.

(coefficient of linear expansion of material of disc is 5 × 10-4/°C)


A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark? (α for glass is 9 × 10-6/°C and coefficient of real expansion of mercury is 180 × 10-6/°C)


A clock with an iron pendulum keeps the correct time at 15°C. If the room temperature is 20°C, the error in seconds per day will be near ______.

(coefficient of linear expansion of iron is 1.2 × 10-5/°C) 


A metal rod Y = 2 × 1012 dyne cm-2 of coefficient of linear expansion 1.6 × 10-5 per °C has its temperature raised by 20°C. The linear compressive stress to prevent the expansion of the rod is ______.


The increase in the dimensions of a body due to an increase in its temperature is called ______.


When a solid is heated, its atoms vibrate faster and move farther apart. This happens because ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×