Physics Test 168

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Physics Test 168

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Weekly Quiz Competition

Question 1
4 / -1

A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

A
4 R T

B
5 R T

C
15 R T

D
11 R T

Solution
Question 2
4 / -1

Maxwell’s velocity distribution curve is given for two different temperatures. For the given curves.

A
T₁ > T₂

B
T₁ < T₂

C
T₁ < T₂

D
T₁ = T₂

Solution

Higher is the temperature greater is the most probable velocity.
Question 3
4 / -1

The ratio of translational and rotational kinetic energies at 100 K temperature is 3 : 2. Then the internal energy of one mole gas at that temperature is [R = 8.3 J/mol-K]

A
1175J

B
1037.5 J

C
2075 J

D
4150J

Solution

According to law of equipartition of energy, energy equally distributes among its degree of freedom, Let translational and rotational degree of freedom be f₁ and f₂.

Hence the ratio of translational to rotational degrees of freedom is 3:2. Since translational degrees of freedom is 3, the rotational degrees of freedom must be 2.
Question 4
4 / -1

12 gm He and 4 gm H₂ is filled in a container of volume 20 litre maintained at temperature 300 K. The pressure of the mixture is nearly :

A
3 atm

B
5 atm

C
6.25 atm

D
12.5 atm

Solution
Question 5
4 / -1

Which of the following will have maximum total kinetic energy at temperature 300 K.

A
1kg H₂

B
1kg He

C

D

Solution

Total KE = U = f/2nRT

In case of H₂degree of freedom is greatest and number of moles n is highest. So this is the case of maximum kinetic energy.
Question 6
4 / -1

A ring shaped tube contains two ideal gases with equal masses and atomic mass numbers M1 = 32 and M2 = 28. The gases are separated by one fixed partition P and another movable conducting partition S which can move freely without friction inside the ring. The angle a as shown in the figure in equilibrium is:

A
7π/8

B
8π/7

C
15π/16

D
16π/15

Solution
Question 7
4 / -1

In an experiment the speeds of any five molecules of an ideal gas are recorded. The experiment is repeated N times where N is very large. The average of recorded values, is :

A

B

C

D

Solution

When speed of 5 molecules which are selected randomly are recorded, then the average is most likely to be equal to the most probable speed.
∴ The average of these values is most likely equal to
Question 8
4 / -1

Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:

A
θ = -40

B
θ = 40

C
θ = 574.25

D
θ = 512.45

Solution
Question 9
4 / -1

20 gm ice at –10 ºC is mixed with m gm steam at 100 ºC. The minimum value of m so that finally all ice and steam converts into water is : (Use sice = 0.5 cal/gmºC,s_water = 1 cal/gmºC,L (melting) = 80 cal/gm and L (vaporization) = 540 cal/gm)

A
185/27 gm

B
135/17 gm

C
85/32 gm

D
113/17 gm

Solution

For minimum value of m, the final temperature of the mixture must be 0°C.
Question 10
4 / -1

An ice block at 0°C is dropped from height ‘h’ above the ground. What should be the value of ‘h’ so that it melts completely by the time it reaches the bottom assuming the loss of whole gravitational potential energy is used as heat by the ice ? [Given : L_f = 80 cal/gm]

A
33.6 m

B
33.6 km

C
8 m

D
8 km

Solution