Advertisements
Advertisements
Question
If the temperature of a uniform rod is slightly increased by ∆t, its moment of inertia I about a line parallel to itself will increase by
Options
zero
αI∆t
2αI∆t
3αI∆t
Solution
2αI∆t
The moment of inertia of a solid body of any shape changes with temperature as
I′ = I (1+2∝Δt)
Here, I = initial moment of inertia
I' = new moment of inertia due to change in temperature
∝ = expansion coefficient
Δt = change in temperature
So, I′ - I = 2∝IΔt
APPEARS IN
RELATED QUESTIONS
Define emissive power and coefficient of emmision of a body.
Two copper spheres of radii 6 cm and 12 cm respectively are suspended in an evacuated enclosure. Each of them are at a temperature 15°C above the surroundings. The ratio of their rate of loss of heat is.................
- 2:1
- 1:4
- 1:8
- 8:1
The dimensions of emissive power are
The substance which allows heat radiations to pass through is _______.
(A) iron
(B) water vapour
(C) wood
(D) dry air
The kinetic energy per molecule of a gs at temperature T is ________.
(a) `(3/2)RT`
(b) `(3/2)K_BT`
(c) `(2/3) RT`
(d) `(3/2)("RT"/M)`
Does the temperature of a body depend on the frame from which it is observed?
It is said that mercury is used in defining the temperature scale because it expands uniformly with temperature. If the temperature scale is not yet defined, is it logical to say that a substance expands uniformly with temperature?
Can the bulb of a thermometer be made of an adiabatic wall?
Why do marine animals live deep inside a lake when the surface of the lake freezes?
The length of a brass rod is found to be less on a hot summer day than on a cold winter day as measured by the same aluminium scale. Can we conclude that brass shrinks on heating?
An aluminium sphere is dipped into water at 10°C. If the temperature is increased, the force of buoyancy
When a solid melts or a liquid boils, the temperature does not increase even when heat is supplied. Where does the energy go?
A person's skin is more severely burnt when put in contact with 1 g of steam at 100°C than when put in contact with 1 g of water at 100°C. Explain
The heat capacity of a body depends on
(a) the heat given
(b) the temperature raised
(c) the mass of the body
(d) the material of the body
The temperature of a solid object is observed to be constant during a period. In this period
(a) heat may have been supplied to the body
(b) heat may have been extracted from the body
(c) no heat is supplied to the body
(d) no heat is extracted from the body
Answer the following question.
Clearly, state the difference between heat and temperature?
Explain the meaning of heat and work with suitable examples.
Our normal body temperature is ______.
Two tumblers of A and B have water at 50°C temperature. If the water from A and B is poured into tumbler C. The temperature of C is ______.
Two identical beakers A and B contain equal volumes of two different liquids at 60°C each and is left to cool down. Liquid in A has a density of 8 × 102 kg/m3 and specific heat of 2000 J kg-1 K-1 while the liquid in B has a density of 103 kg m-3 and specific heat of 4000 J kg-1 K-1. Which of the following best describes their temperature versus time graph schematically? (assume the emissivity of both the beakers to be the same.)
