Thermal Properties of Matter Test

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Thermal Properties of Matter Test - 51

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Weekly Quiz Competition

Question 1
1 / -0

A lead bullet, of initial temperature $27 ^ { \circ } C$ and speed $'v'$ kmph pnetrates into a solid object and melts. If $50\%$ of the kinetic energy is used to heat it, The value of $V$ is kmph is (for leads melting point = 600 K, latent heat of fusion = $2.5 \times 10 ^ { 4 } J$ $\mathrm { Kg } ^ { - 1 }$ : specific heat = $125 J$ $k g ^ { - 1 } K ^ { - 1 }$

A
1800

B
3600

C
1200

D
1000

Solution
Question 2
1 / -0

If water at $0^0C$ , kept in a container with an open top, is placed in a large evacuated chamber,

A
all the water will freeze

B
all the water will vaporize

C
part of the water will vaporize and the rest will freeze

D
ice, water and water vapour will be formed and reach equilibrium at the triple point

Solution
Question 3
1 / -0

A body at $50^{0}C$ cools in a surrounding maintained at $30^{0}C$ . The temperature at which the rate of cooling is half that of beginning is:

A
$16.32^{0}C$

B
$26.3^{0}C$

C
$40^{0}C$

D
$46.3^{0}C$

Solution

The rate of cooting $(R)$ of a body from Newton's Law of cooting is:-
$R=\dfrac {dt}{dx}=-k(T-T_0)\quad T:$ temp of body at time $t$
and $T_0:$ Surrounding $r$ temp
Given initially $T=30^oC$ and rate in $R$
when temp drops to half $(R'=R/2)$ then temp of body be $T'$ .
so, we have:-
$R=-4(50^oC-30^oC)=-20k\ ^oc/s$
and $\dfrac {R}{2}=-x(T' -30^oC)\ ^oc/s$
from above
$\Rightarrow \ -2k=-1\times k (T'-30^oC)\ \Rightarrow \ T'=10+30=40^oC$ (required)
Question 4
1 / -0

When $2 gm$ of gas is introduced into an evacuated flask kept at $25^oC$ the pressure is found to be one atmosphere. If $3 gm$ of another gas added to the same flask the pressure becomes $1.5$ atmospheres. The ratio of the molecular weights of there gases will be

A
$1:3$

B
$3:1$

C
$1:2$

D
$3:2$

Solution
Question 5
1 / -0

In a waterfall the water falls from a height of 100 m. If the entire energy of water is converted into heat. The rise in temperature of water will be:

A
$0.3^{o} C$

B
$0.46^{o} C$

C
$2.3^{o} C$

D
$0.23^{o} C$

Solution
Question 6
1 / -0

A real gas most closely approaches the behaviour of an ideal gas at :

A
15 atm and 200 K

B
1 atm and 273 K

C
0.5 atm and 500 K

D
15 atm and 500 K

Solution
Question 7
1 / -0

Glaciers melt:

A
first at the bootom due to decress in pressure

B
first at the top due to iuncrease in pressure

C
first at the bottom due to increase in pressure

D
first at the top due to increase in pressure

Solution
Question 8
1 / -0

Two metal sphere have radii $r$ and $2r$ and they emit thermal radiation with maximum intensities at wavelength $\lambda$ and $2 \lambda$ . The respective ratio of the radiant energy emitted by them per second will be

A
$4:1$

B
$1:4$

C
$16:1$

D
$8:1$

Solution
Question 9
1 / -0

The heat transferred by the radiator of a refrigerator is

A
more than that at the freezer

B
less than that at the freezer

C
the same as that at the freezer

D
none of these

Solution
Question 10
1 / -0

If the ratio of the coefficient of thermal conductivity of silver and copper is $10: 9$ , then the ratio of the lengths up to which was will melt in Ingen Hauz experiment will be

A
$6: 10$

B
$\sqrt{10}:3$

C
$100: 81$

D
$81: 100$

Solution

Since $K \propto l^2$ , $K_1:K_1=l_1^2:l_2^2 \implies \dfrac{l_1}{l_2}=\sqrt{\dfrac{K_1}{K_2}}=\sqrt{\dfrac{10}{9}}=\dfrac{\sqrt{10}}{3}$

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Re-Attempt Weekly Quiz Competition

Thermal Properties of Matter Test - 51

Result

Thermal Properties of Matter Test - 51

Score

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SHARING IS CARING

Question 1

1800

3600

1200

1000

Solution

Question 2

all the water will freeze

all the water will vaporize

part of the water will vaporize and the rest will freeze

ice, water and water vapour will be formed and reach equilibrium at the triple point

Solution

Question 3

16.320C16.32^{0}C16.320C

26.30C26.3^{0}C26.30C

400C40^{0}C400C

46.30C46.3^{0}C46.30C

Solution

Question 4

1:31:31:3

3:13:13:1

1:21:21:2

3:23:23:2

Solution

Question 5

0.3oC0.3^{o} C0.3oC

0.46oC0.46^{o} C0.46oC

2.3oC2.3^{o} C2.3oC

0.23oC0.23^{o} C0.23oC

Solution

Question 6

15 atm and 200 K

1 atm and 273 K

0.5 atm and 500 K

15 atm and 500 K

Solution

Question 7

first at the bootom due to decress in pressure

first at the top due to iuncrease in pressure

first at the bottom due to increase in pressure

first at the top due to increase in pressure

Solution

Question 8

4:14:14:1

1:41:41:4

16:116:116:1

8:18:18:1

Solution

Question 9

more than that at the freezer

less than that at the freezer

the same as that at the freezer

none of these

Solution

Question 10

6:106: 106:10

10:3\sqrt{10}:310​:3

100:81100: 81100:81

81:10081: 10081:100

Solution

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$16.32^{0}C$

$26.3^{0}C$

$40^{0}C$

$46.3^{0}C$

$1:3$

$3:1$

$1:2$

$3:2$

$0.3^{o} C$

$0.46^{o} C$

$2.3^{o} C$

$0.23^{o} C$

$4:1$

$1:4$

$16:1$

$8:1$

$6: 10$

$\sqrt{10}:3$

$100: 81$

$81: 100$