Share & grow the world's knowledge!
We want to connect the people who have knowledge to the people who need it, to bring together people with different perspectives so they can understand each other better, and to empower everyone to share their knowledge.
A wire elongates by l mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)
When a load W is applied to a wire, it elongates by length l. However, when two weights W each are hung at the two ends of the wire over a pulley, the effective force applied on the wire is still 2W. This results in the wire elongating by 2l. Click here: https://www.tiwariacademy.com/ncert-solutionsRead more
When a load W is applied to a wire, it elongates by length l. However, when two weights W each are hung at the two ends of the wire over a pulley, the effective force applied on the wire is still 2W. This results in the wire elongating by 2l.
Click here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/
Derive the relation between α, β and γ.
The coefficients of linear expansion (α), superficial expansion (β), and cubical expansion (γ) are interrelated based on the effect of temperature change on the length, area, and volume of a material. 1. Linear Expansion (α): The change in length (ΔL) for a material due to temperature change is giveRead more
The coefficients of linear expansion (α), superficial expansion (β), and cubical expansion (γ) are interrelated based on the effect of temperature change on the length, area, and volume of a material.
1. Linear Expansion (α):
The change in length (ΔL) for a material due to temperature change is given by:
ΔL = α L ΔT
where α is the coefficient of linear expansion, L is the original length, and ΔT is the temperature change.
2. Superficial Expansion (β):
The change in area (ΔA) for a material due to temperature change is given by:
ΔA = β A ΔT
where β is the coefficient of superficial expansion, A is the original area, and ΔT is the temperature change.
Since area is related to length by A = L², the relation between β and α is:
β = 2α
3. Cubical Expansion (γ):
The change in volume (ΔV) for a material due to temperature change is given by:
ΔV = γ V ΔT
where γ is the coefficient of cubical expansion, V is the original volume, and ΔT is the temperature change.
Since volume is related to length by V = L³, the relation between γ and α is:
γ = 3α
4. Relation between α, β, and γ:
Combining the equations above:
β = 2α and γ = 3α
So the relation between three coefficients of expansion is,
β = 2α and γ = 3α
Click here for more:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/
Define coefficient of liner expansion. Write an expression for it. Give its limits.
The coefficient of linear expansion, denoted by α, is defined as the fractional change in length of the material for a unit change in temperature at constant pressure when the material is heated or cooled. Mathematically, it is defined as: α = (1/L) * (dL/dT) where α is the coefficient of linear expRead more
The coefficient of linear expansion, denoted by α, is defined as the fractional change in length of the material for a unit change in temperature at constant pressure when the material is heated or cooled.
Mathematically, it is defined as:
α = (1/L) * (dL/dT)
where
α is the coefficient of linear expansion,
L is the initial length of the material,
dL is the change in length,
dT is the change in temperature.
The units of α are per degree Celsius (°C⁻¹) or per Kelvin (K⁻¹).
Limits:
– α is nearly constant for most solids in a narrow range of temperature.
– The value of α increases with temperature for some materials but is constant for many solid materials within small variations in temperature.
Check for more info:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/
What is meant by thermal expansion of a body? What are the different types of thermal expansion?
The thermal expansion of a body is defined as the change in its dimensions, either length, area, or volume, when the temperature of the body is changed. When the temperature increases, the particles of the body move vigorously, which makes the body expand. Types of Thermal Expansion: 1. Linear ExpanRead more
The thermal expansion of a body is defined as the change in its dimensions, either length, area, or volume, when the temperature of the body is changed. When the temperature increases, the particles of the body move vigorously, which makes the body expand.
Types of Thermal Expansion:
1. Linear Expansion: Change in length of a solid body when heated.
Example: Expansion of a metal rod.
2. Apparent Expansion: Change in area of a body when heated.
Example: Expansion of metal sheet.
3. Volumetric Expansion: Change in volume of a body when heated.
Example: Expansion of a gas or liquid in a container.
Click for more:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/
Briefly describe the working principle of a thermoelectric thermometer.
A thermoelectric thermometer works on the principle of the thermoelectric effect, also known as the Seebeck effect. This effect occurs when two different metals are joined at two points and there is a temperature difference between them. The junctions of these metals generate a voltage that is propoRead more
A thermoelectric thermometer works on the principle of the thermoelectric effect, also known as the Seebeck effect. This effect occurs when two different metals are joined at two points and there is a temperature difference between them. The junctions of these metals generate a voltage that is proportional to the temperature difference.
In a thermoelectric thermometer, two dissimilar conductors (such as copper and iron) form a closed loop, and one of the junctions is exposed to the temperature to be measured while the other is kept at a reference temperature, usually at ice point. The difference in temperature between the junctions results in a thermoelectric potential difference (voltage) developing across the loop. The voltage is then measured and converted to temperature using a calibration curve.
The main advantage of thermoelectric thermometers is that they provide accurate temperature measurements over a wide range without moving parts, hence reliable and precise readings in applications.
Click here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-10/