Thermal Properties of Matter Test

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Thermal Properties of Matter Test - 13

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Weekly Quiz Competition

Question 1
4 / -1

Two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures T₁ and T₂ respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that of B?

A
9

B
9.5

C
8

D
8.5
Question 2
4 / -1

Temperatures of two stars are in ratio 3:2.If wavelength of maximum intensity of first body is 4000 A°, what is corresponding wavelength of second body?

A
9000 A°

B
6000 A°

C
2000 A°

D
8000 A°
Question 3
4 / -1

The luminosity of the Rigel star is 17000 times that of the sun. Assume both to be perfectly black bodies. If the surface temperature of the sun is 6000 K, then the temperature of the star is

A
68400 K

B
1.02 × 10⁸ K

C
12000 K

D
68400° C
Question 4
4 / -1

Hot water cools from 60°C to 50°C in the first 10 min and to 42°C in the next 10 min. Then, the temperature of the surroundings is

A
20° C

B
30° C

C
15° C

D
10° C
Question 5
4 / -1

In a radiation spectrum obtained from a furnace of 2600 K has maximum intensity at 12000 A wavelength. If the maximum intensity in spectrum of a star is at 5000 A then the temperature of the outer surface of star is

A
7800 K

B
6240 K

C
5240 K

D
3640 K
Question 6
4 / -1

A body initially at 80°C cools to 64°C in 5 min and to 52°C in 10 min.The temperature of the surrounding is

A
26° C

B
16° C

C
36° C

D
40° C
Question 7
4 / -1

The amount of heat energy radiated by a metal at temperature T is E . When the temperature is increased to 3 T , energy radiated is

A
81 E

B
9 E

C
3 E

D
27 E

Solution
Question 8
4 / -1

The surface temperature of the stars is determined using

A
Planck's law

B
Wien's displacement law

C
rayleigh - Jeans law

D
Kirchoff's law
Question 9
4 / -1

According to Newton's law of cooling, the rate of cooling is proportional to (∆θ)" , where ∆θ is the temperature difference between the body and the surroundings and n is equal to

A
3

B
2

C
1

D
4
Question 10
4 / -1

Two spheres P and Q, of same colour having radii 8 cm and 2 cm are maintained at temperatures 127°C and 527°C respectively. The energy radiated by P and Q is

A
0.054

B
0.0034

C
1

D
2

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Thermal Properties of Matter Test - 13

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Thermal Properties of Matter Test - 13

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Question 1

9

9.5

8

8.5

Question 2

9000 A°

6000 A°

2000 A°

8000 A°

Question 3

68400 K

1.02 × 108 K

12000 K

68400° C

Question 4

20° C

30° C

15° C

10° C

Question 5

7800 K

6240 K

5240 K

3640 K

Question 6

26° C

16° C

36° C

40° C

Question 7

81 E

9 E

3 E

27 E

Solution

Question 8

Planck's law

Wien's displacement law

rayleigh - Jeans law

Kirchoff's law

Question 9

3

2

1

4

Question 10

0.054

0.0034

1

2

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1.02 × 10⁸ K