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All questions of Thermal Properties of Matter for NEET Exam

A black body is at 727° C. It emits energy at a rate which is proportional to [2007]
  • a)
    (1000)4
  • b)
    (1000)2
  • c)
    727)4
  • d)
    (727)2
Correct answer is option 'A'. Can you explain this answer?

Ashwini Khanna answered
According to Stefan's law, E ∝ T4
∝ (t + 273)4 K              [727°C = (727 + 273)K]
∝ (727 + 273)4 K
∝ (1000)4 K

Radiation from which of the following sources, approximates black body radiation best? [2002]
  • a)
    A tungsten lamp
  • b)
    Sodium flame
  • c)
    Hot lamp black
  • d)
    A hole in a cavity, maintained at constant temperature
Correct answer is option 'D'. Can you explain this answer?

Zaid Ali answered
Option D this holed cavity is also called Fery's black body it is made such that when light enter the cavity it suffer multiple reflection inside it and since with every reflection some part is absorbed so almost all the radiant light get absorbed...

An electric kettle takes 4A current at 220 V. How much time will it take to boil 1 kg of water from temperature 20° C? The temperature of boiling water is 100° C. [2008]
  • a)
    6.3 min
  • b)
    8.4 min
  • c)
    12.6 min
  • d)
    4.2 min
Correct answer is option 'A'. Can you explain this answer?

Ishaan Menon answered
Heat required to raise the temperature of 1kg water from 20°C to 100°C is given by Q = msΔθ = (1× 4200 × 80) J
Power of kettle (P) = VI = (220 × 4)W
∴ Time taken =
= 381.81 sec = 6.36 min

The presence of gravitational field is required for the heat transfer by [2000]
  • a)
    con duction
  • b)
    stirring of liquids
  • c)
    natural convection
  • d)
    radiation
Correct answer is option 'C'. Can you explain this answer?

Shruti Chauhan answered
In convection, the temperature gradient exists in the vertical direction and not in the horizontal direction. So, up and down movement of particles takes place which depends on the weight and gravity.

If 1 g of steam is mixed with 1 g of ice, then the resultant temperature of the mixture is [1999]
  • a)
    270ºC
  • b)
    230ºC
  • c)
    100ºC
  • d)
    50ºC
Correct answer is option 'C'. Can you explain this answer?

Heat required by ice a t 0° C to reach a temperature of 100°C = mL + mcΔθ = 1 × 80 + 1 × 1 × (100 – 0) = 180 cal
Heat available with 1 g steam to condense into 1 g of water at 100°C = 536 cal.
Obviously the whole steam will not be condensed and ice will attain a temperature of 100°C; so the temperature of mixture = 100°C.

The radiant energy from the sun, incident normally at the surface of earth is 20 k cal/m2 min. What would have been the radiant energy, incident normally on the earth, if the sun had a temperature, twice of the present one? [1998]
  • a)
    160 k cal/m2 min
  • b)
    40 k cal/m2 min
  • c)
    320k cal/m2 min
  • d)
    80 k cal/m2 min
Correct answer is option 'C'. Can you explain this answer?

Gargi Yadav answered
Solution:
To solve this problem, we need to use the Stefan-Boltzmann law, which states that the radiant energy emitted by a black body is proportional to the fourth power of its temperature.

The radiant energy incident normally on the surface of the Earth can be given by the equation:

E = σT^4

Where E is the radiant energy, σ is the Stefan-Boltzmann constant, and T is the temperature of the sun.

We are given that the radiant energy incident normally on the surface of the Earth is 20 k cal/m2 min. Let's assume the temperature of the sun is T1.

So, we have:

20 = σT1^4 .......(1)

We need to find the radiant energy incident normally on the Earth's surface if the sun had a temperature twice of the present one. Let's assume the new temperature of the sun is T2.

So, the new radiant energy can be given by:

E' = σT2^4

We know that T2 = 2T1 (twice the present temperature). Substituting this value into the equation above, we get:

E' = σ(2T1)^4
= σ16T1^4
= 16σT1^4

Now, we need to find the ratio of the new radiant energy (E') to the old radiant energy (E) to determine how much it has increased:

E'/E = (16σT1^4)/(σT1^4)
= 16

Therefore, the new radiant energy is 16 times the old radiant energy.

Given that the old radiant energy is 20 k cal/m2 min, the new radiant energy will be:

E' = 16 * 20 k cal/m2 min
= 320 k cal/m2 min

Hence, the correct answer is option C) 320 k cal/m2 min.

Two metal rods 1 and 2 of same lengths have same temperature difference between their ends.Their thermal conductivities are K1 and K2 and cross sectional areas A1 and A2, respectively. If the rate of heat conduction in rod 1 is four times that in rod 2, then [NEET Kar. 2013]
  • a)
    K1A1 = K2A2
  • b)
    K1A1 = 4K2A2
  • c)
    K1A1 = 2K2A2
  • d)
    4K1A1 = K2A2
Correct answer is option 'B'. Can you explain this answer?

Nishtha Chopra answered
**Given Information:**
- Two metal rods, 1 and 2, have the same length and the same temperature difference between their ends.
- The thermal conductivities of the rods are represented as K1 and K2.
- The cross-sectional areas of the rods are represented as A1 and A2.
- The rate of heat conduction in rod 1 is four times that in rod 2.

**To Find:**
The relationship between the thermal conductivities and cross-sectional areas of the rods.

**Explanation:**
Let's assume the rate of heat conduction in rod 1 is Q1 and in rod 2 is Q2.

According to Fourier's Law of Heat Conduction, the rate of heat conduction is given by:

Q = (k * A * ΔT) / L,

where Q is the rate of heat conduction, k is the thermal conductivity, A is the cross-sectional area, ΔT is the temperature difference, and L is the length of the rod.

**Step 1:**
Using the given information, we can write the equations for the rates of heat conduction in rod 1 and rod 2 as follows:

Q1 = (K1 * A1 * ΔT) / L,
Q2 = (K2 * A2 * ΔT) / L.

**Step 2:**
Given that the rate of heat conduction in rod 1 is four times that in rod 2, we can write the equation:

Q1 = 4 * Q2.

**Step 3:**
Substituting the expressions for Q1 and Q2 from Step 1 into the equation from Step 2, we get:

(K1 * A1 * ΔT) / L = 4 * (K2 * A2 * ΔT) / L.

**Step 4:**
Canceling out the common terms (ΔT and L) from both sides of the equation, we get:

K1 * A1 = 4 * K2 * A2.

**Step 5:**
Rearranging the equation, we obtain:

K1 * A1 = 4 * K2 * A2.

Therefore, the correct answer is option b) K1A1 = 4K2A2, which shows the relationship between the thermal conductivities and cross-sectional areas of the rods.

10 gm of  ice  cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C.Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g) [1988]
  • a)
    31°C
  • b)
    22°C
  • c)
    19°C
  • d)
    15°C
Correct answer is option 'B'. Can you explain this answer?

Arnav Iyer answered
Let the final temperature  be T Heat gained by ice  = mL + m × s × (T – 0) = 10 × 80 + 10 × 1 × T
Heat lost by water = 55 × 1× (40 – T)
By using law of calorimetery, 800 + 10 T = 55 × (40 – T)
⇒ T = 21.54°C = 22°C

A black body has maximum wavelength λm at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

According to Wein's displacement law,
λmT = 2.88 × 10–3 When T = 2000 K,
λm (2000) = 2.88 × 10–3 ....(1)
When T = 3000 K, λ'm (3000) = 2.88 × 10–3 ....(2)
Dividing (1) by (2),

Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time? [2012]
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Harshitha Dey answered
Initially liquid oxygen will gain the temperature up to its boiling temperature then it change its state to gas. After this again its temperature will increase, so corresponding graph will be

Mercury thermometer can be used to measure temperature upto [1992]
  • a)
    260°C
  • b)
    100°C
  • c)
    357°C
  • d)
    500°C
Correct answer is option 'C'. Can you explain this answer?

Mercury thermometer is based on the principle of change of volume with rise of temperature and can measure temperatures ranging from –30°C to 357°C.

On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39° W and 239° W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39° C on the Celsius scale? [2008]
  • a)
    78° W
  • b)
    117° W
  • c)
    200° W
  • d)
    139° W
Correct answer is option 'B'. Can you explain this answer?

For different temperature scales, we have
= constant
Where L.F.P ⇒  Lower Fixed point              
U.H.F. ⇒  Upper fixed point
where x is the measurement at that scale.
Here, if C and W be the measurements on Celsius and W scale then,
= 117° W

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