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A student records the initial length l, change in temperature ?T and change in length ?l of a rod as follows:

 If the first observation is correct, what can you say about observations 2, 3 and 4.

0 2 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    This is a short answer type question as classified in NCERT Exemplar

    α = ? l l ? T , α = 4 × 10 - 4 2 × 10 = 2 × 10 - 5   oC-1

    From next observation ? l = 2 × 10 - 5 × 1 × 10 = 2 × 10 - 4

    From next observation  ? l = 2 × 10 - 5 × 2 × 20 = 8 × 10 - 4 m

    From next observation  ? l = 2 × 10 - 5 × 3 × 10 = 6 × 10 - 4 m  so this value satisfies the equation.

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Kindly go throiugh the solution

 

At what temperature a gold ring of diameter 6.230cm be heated so that it can be fitted on a wooden bangle of diameter. 6.241cm? Both the diameters have been measured at room temperature (27°C).

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According to question, we can write

d = d 0 ( 1 + α Δ T ) ⇒ 6 . 2 4 1 = 6 . 2 3 0 ( 1 + 1 . 4 × 1 0 − 5 × Δ T )

⇒ T = 1 2 6 . 1 8 + 2 7 = 1 5 3 . 1 8 ° C

A copper block of mass 5.0kg is heated to a temperature of 5 0 0 ° C  and is placed on a large ice block. What is the maximum amount of ice that can melt?

[Specific heat of copper : 0.39 J g-1 0C-1 and latent heat of fusion of water : 335 J g-1]
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Heat Released by block = Heat gain by large Ice block

⇒ m     c Δ T = M i c e L

5 × 0.39 × 500 = mice × 335

m i c e = 5 × 0 . 3 9 × 5 0 0 3 3 5

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A solid metallic cube having total surface area 24 m2 is uniformly heated. if its temperature is increased by 100C, calculate the increase in volume of the cube.

(Given a = 5.0 × 10-4 0C-1).
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Raj Pandey

Given

6a2 = 24

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Δ v = v ( γ ) Δ T

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A glass full of hot milk is poured on the table. It begins to cool gradually. Which of the following is correct?

(a) The rate of cooling is constant till milk attains the temperature of the surrounding

(b) The temperature of milk falls off exponentially with time

(c) While cooling, there is a flow of heat from milk to the surrounding as well as from surrounding to the milk but the net flow of heat is from milk to the surrounding and that is why it cools

(d) All three phenomenon, conduction, convection and radiation are responsible for the loss of heat from milk to the surroundings
P
Payal Gupta

This is a multiple choice answer as classified in NCERT Exemplar

(b), (c), (d) When the hot milk in the table is transferred to the surroundings by conduction, convection and radiation.

According to newton's law of cooling temperature of the milk falls of exponentially. Heat also will be transferred from surroundings to the milk but will be lesser than that of transferred from milk to surroundings. So option b, c, d satisfy.

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