Advertisements
Advertisements
प्रश्न
A concrete slab has a length of 10 m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is 35°C. The coefficient of linear expansion of concrete is 1.0 × 10–5 °C–1.
Advertisements
उत्तर
Given:
Length of the slab when the temperature is 0°C, L0 = 10 m
Temperature on the summer day, t = 35 °C
Let L1 be the length of the slab on a summer day when the temperature is 35°C.
The coefficient of linear expansion of concrete, α = 1 ×10–5 °C-1
\[L_1 = L_0 \left( 1 +∝t\right)\]
\[\Rightarrow L_1\] = 10 (1 + 10–5 × 35)
\[\Rightarrow L_1\] = 10 + 35 × 10–4
\[\Rightarrow L_1\] = 10.0035 m
So, the length of the slab on summer day when the temperature is 35oC is 10.0035 m.
APPEARS IN
संबंधित प्रश्न
Define emissive power and coefficient of emmision of a body.
A pinhole is made in a hollow sphere of radius 5 cm whose inner wall is at temperature 727oC. Find the power radiated per unit area. [Stefan’s constant σ = 5.7 x 10-8 J/m2 s K4 , emissivity (e) = 0.2]
The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is _____________.
[Wien's constant b = 2 .898 x l0- 3mK]
The susceptibility of magnesium at 300 K is 2.4 x 10-5. At what temperature will the susceptibility increase to 3.6 x 10-5?
1000 tiny mercury droplets coalesce to form a bigger drop. In this process, temperature of the drop _______ .
(A) increases
(B) may increase or decrease
(C) decreases
(D) does not change
A body cools from 62°C to 54°C in 10 minutes and to 48°C in the next 10 minutes. Find the temperature of the surroundings.
The susceptibility of magnesium at 300K is 1.2 x 10-5. At what temperature will the susceptibility increase to 1.8 X 10-5?
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)`
Why do marine animals live deep inside a lake when the surface of the lake freezes?
The density of water at 4°C is supposed to be 1000 kg m–3. Is it same at sea level and at high altitude?
Which of the curves in the following figure represents the relation between Celsius and Fahrenheit temperatures?
The temperature of water at the surface of a deep lake is 2°C. The temperature expected at the bottom is
As the temperature is increased, the time period of a pendulum
Two bodies at different temperatures are mixed in a calorimeter. Which of the following quantities remains conserved?
A steel wire of cross-sectional area 0.5 mm2 is held between two fixed supports. If the wire is just taut at 20°C, determine the tension when the temperature falls to 0°C. Coefficient of linear expansion of steel is 1.2 × 10–5 °C–1 and its Young's modulus is 2.0 × 10–11 Nm–2.
Explain the meaning of heat and work with suitable examples.
Temperature and Heat are ______
Temperature in the form of energy.
Give reasons for the following:
Hot metal ball of 80° C is dipped into water of 80°C. The ball will not contract.
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.)
