Thursday, August 19, 2021

Kinetic Theory Of Gases : Physics Entrance Exam

 



Q.1.  If k is the Boltzmann constant , the average kinetic energy of a gas molecule at absolute temperature T is 

A) k T/2

B) 3 k T/4

C) k T

D) 3 k T/2


Q.2. At room temperature (27degreeC ) the rms speed of the molecules of a certain diatomic gas is found to be 1920 msblank to the power of negative 1 end exponent.The  gas is 

A) Hblank subscript 2

B) Fblank subscript 2

C) Oblank subscript 2

D) CIblank subscript 2 

Explanation-

We know that ϑ subscript r m s end subscript space equals space square root of fraction numerator 3 R T over denominator M end fraction end root which gives 

M equals fraction numerator 3 space R T over denominator ϑ squared subscript r m s end subscript end fraction equals fraction numerator 3 cross times 8.3 cross times 300 over denominator open parentheses 1920 close parentheses squared end fraction
space space space equals space 2 cross times 10 to the power of negative 3 end exponent space k g space equals space 2 space g

 Since  M = 2 , the gas is hydrogen .


Q.3.  If a g as has f degrees of freedom, the ratio C subscript p divided by C subscript v of the gas is 

A) fraction numerator 1 plus f over denominator 2 end fraction

B) 1 plus f over 2

C) 1 half plus f

D) 1 plus 2 over f 

Explanation-

We know that C subscript ϑ = no . of degress of freedom x molar gas constant / 2 or C subscript ϑ equals f R divided by 2. space A l s o space C subscript p minus C subscript ϑ space equals space R
T h e r e f o r e
C subscript p over C subscript ϑ space R over C subscript ϑ plus 1 equals fraction numerator 2 R over denominator f space R end fraction plus 1 equals 2 over f plus 1


Q.4.  Two ideal gases at absolute temperature Tblank subscript 1 and Tblank subscript 2 are mixed . There is no loss of energy in this process . If nblank subscript 1 and nblank subscript 2 are the respective number of molecules of the gases , the temperature of the mixture will be 

Afraction numerator n subscript 1 T subscript 1 space plus space n subscript 2 T subscript 2 over denominator n subscript 1 plus n subscript 2 end fraction

B) fraction numerator n subscript 2 T subscript 1 plus n subscript 1 T subscript 2 over denominator n subscript 1 plus n subscript 2 end fraction

C) T subscript 1 plus n subscript 2 over n subscript 1 T subscript 2

D) T subscript 2 plus n subscript 1 over n subscript 2 T subscript 1 

Explanation-

fraction numerator n subscript 1 T subscript 1 space plus space n subscript 2 T subscript 2 over denominator n subscript 1 plus n subscript 2 end fraction


Q.5.  Four molecules of a gas have speeds 1,2,3 and 4 km s to the power of negative 1 end exponent . The value of the root mean square speed of the gas molecule is 

A)  1 half space square root of 15 space end root space k m space s to the power of negative 1 end exponent

B) 1 half square root of 10 space k m space s to the power of negative 1 end exponent

C) 2.5 space k m space s to the power of negative 1 end exponent

Dsquare root of 15 divided by 2 end root space k m space s to the power of negative 1 end exponent 

Explanation-

The rms speed = open square brackets fraction numerator 1 squared plus 2 squared plus 3 squared plus 4 squared over denominator 4 end fraction close square brackets to the power of 1 divided by 2 end exponent
equals space square root of 15 over 2 end root space k m s to the power of negative 1 end exponent


Q.6.   The average kinetic energy of a molecule of a gas at absolute temperature T is proportional to 

A) 1/T

B) square root of T

C) T

D) Tblank squared 

Explanation-

The average kinetic energy of a molecule of a gas at absolute temperature T is given by straight E space equals space 3 over 2 space kT.


Q.7.  The root mean square speed of the molecules of a gas at absolute temperature T is proportional to 

A) 1/T

B) square root of T

C) T

D) Tblank squared 

Explanation-

The root mean square speed of the molecules of a gas is given by straight ϑ subscript rms space end subscript equals space square root of fraction numerator 3 space kT over denominator straight m end fraction end root.


Q.8.  E subscript 0  and E subscript h respectively represent the average kinetic energy of a molecule of oxygen and hydrogen. If the two gases are at the same temperature , which of the following statements is true ?

A)  E subscript 0 > E subscript h 

B)  E subscript 0 = E subscript h 

C)  E subscript 0 < E subscript h 

D)  Nothing can be said about the magnitude of  E subscript 0 and E subscript h as the information given is insufficient  

Explanation-

The average kinetic energy of molecule = 1 half kT which is independent of the molecular mass .


Q.9.  The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K , the root mean square speed of the gas molecules is v , then at 480 K it will be 

A) 4 v

B) 2 v

C) v over 2

D) v over 4 

Explanation-

ϑ subscript r m s end subscript equals square root of fraction numerator 3 R T over denominator M end fraction end root space o r space ϑ subscript r m s end subscript proportional to square root of T . 


Q.10.  A vessel contains 1 mole of Oblank subscript 2 gas ( molar mass 32 ) at a temperature T . The pressure of the gas is P . An identical vessel containing one mole of He gas ( molar mass 4 ) at a temperature  2 T has a pressure of 

A) p over 8

B) P

C) 2 P

D) 8 P

Explanation-

For a gas , PV = nRT . Hence 

                   ( P )open parentheses straight P close parentheses o subscript 2 equals fraction numerator open parentheses 1 space m o l e close parentheses space R T over denominator V end fraction
a n d space left parenthesis P right parenthesis subscript H e end subscript equals fraction numerator open parentheses 1 space m o l e close parentheses R open parentheses 2 T close parentheses over denominator V end fraction
therefore fraction numerator open parentheses P close parentheses subscript H e end subscript over denominator open parentheses P close parentheses o subscript 2 end fraction space equals 2 space o r space left parenthesis P right parenthesis subscript H e end subscript equals 2 open parentheses P close parentheses o subscript 2 

 

Wednesday, August 18, 2021

Plant Physiology: Biology Entrance

                  


        click here (For More Questions based on Biology )

Q.1.  Root hairs do not play a role in 

A) water uptake 

B) oxygen uptake 

C) carbon dioxide uptake 

D) mineral uptake 


Q.2.  Decreased rate of photosynthesis at high concentration  of oxygen is referred to as 

A) Pasteur effect

B) Emerson effect

C) Warburg effect

D) Richmond - Lang effect 


Q.3.  Which of the following is not part of the transpiration cohesion - adhesion theory of the ascent of xylem sap ? 

A) The evaporation of water from the mesophyll cells , which initiates a pull of water molecules from neighboring cells and eventually from the tracheid's 

B) The transfer of this pull from one water molecule to the next due to the cohesion caused by hydrogen bonds 

C) The hydrophilic walls of the narrow tracheid's and vessels that help to maintain the column of water against the force of gravity 

D) The use of proton pumps to create membrane potentials that facilitate the accumulation of mineral ions 


Q.4.  The productivity of crop begins to decline when the leaves begin to wilt mainly because 

A) flaccid mesophyll cells are incapable of photosynthesis 

B) stomata close , preventing COblank subscript 2 from entering the leaf 

C) photolysis , the water splitting step of photosynthesis , cannot occur when there is a water deficiency 

D) accumulation of COblank subscript 2 in the leaf inhibits enzymes required from photosynthesis 


Q.5.  The ion involved in stomata movement is 

A) Znblank to the power of plusblank to the power of plus

B) Mgblank to the power of plusblank to the power of plus

C) Mnblank to the power of plusblank to the power of plus

D) Kblank to the power of plus 


Q.6.  Which of the following is a correct statement about nitrogen fixation ?

A) Plants convert atmospheric nitrogen to ammonia 

B) Ammonia is converted to nitrates , which is the part of nitrogen most easily absorbed by plants 

C) Mutant strains of Rhizobium are able to secrete excess nitrogen into the soil 

D) Enzyme nitrogenase reduces Nblank subscript 2 to from ammonia 


Q.7.  Which of the following is a correct statement about nitrogen fixation ?

A) Plants convert atmospheric nitrogen to ammonia 

B) Ammonia is converted to nitrates , which is the part of nitrogen most easily absorbed by plants 

C) Mutant strains of Rhizobium are able to secrete excess nitrogen into the soil 

D) Enzyme nitrogenase reduces Nblank subscript 2 to from ammonia 


Q.8.  The principal cation in alkaline soil is 

A) Nablank to the power of plus

B) Kblank to the power of plus

C) Cablank to the power of plusblank squared 

D) Hblank to the power of plus 


Q.9.  Sulphur is an important nutrient for optimum growth and productivity in 

A) Pulse crops 

B) Cereals 

C) Fiber crops 

D) Oilseed crops 


Q.10.  Which of the following nutrients is incorrectly paired with its function in a plant ?

A) Calcium - formation of cell walls , combines with pectin to glue cells together 

B) Magnesium - constituent of chlorophyll , cofactor for important enzymes 

C) Iron - component of chlorophyll 

D) Potassium - important in osmotic regulations , cofactor