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Physics-

General

Easy

Question

Figure demonstrates a polytropic process (i.e. $P V to the power of n end exponent$ = constant) for an ideal gas. The work done by the gas will be in process AB is

$\frac{15}{2} P_{0} V_{0}$
$\frac{14}{3} P_{0} V_{0}$
8P₀V₀
Insufficient information

The correct answer is: $fraction numerator 14 over denominator 3 end fraction P subscript 0 end subscript V subscript 0 end subscript$

For a polytropic process $P V to the power of n end exponent equals text constant end text rightwards double arrow 16 P subscript 0 end subscript V subscript 0 end subscript superscript n end superscript equals P subscript 0 end subscript open parentheses 2 V subscript 0 end subscript close parentheses to the power of n end exponent rightwards double arrow n equals 4 blank$
$text Work done end text equals fraction numerator P subscript 1 end subscript V subscript 1 end subscript minus P subscript 2 end subscript V subscript 2 end subscript over denominator n minus 1 end fraction equals fraction numerator 16 P subscript 0 end subscript V subscript 0 end subscript minus P subscript 0 end subscript open parentheses 2 V subscript 0 end subscript close parentheses over denominator 4 minus 1 end fraction equals fraction numerator 14 over denominator 3 end fraction P subscript 0 end subscript V subscript 0 end subscript blank$

Related Questions to study

The gas left in the vessel will be 2g of hydrogen i.e. number of moles $blank mu equals fraction numerator 2 over denominator 2 end fraction equals 1$

The gas left in the vessel will be 2g of hydrogen i.e. number of moles $blank mu equals fraction numerator 2 over denominator 2 end fraction equals 1$

Physics-General

A vessel contains 14 g (7 moles) of hydrogen and 96 g (3 moles) of oxygen at STP. Chemical reaction is induced by passing electric spark in the vessel till one of the gases is consumed. The temperature is brought back to it's starting value 273 K. The pressure in the vessel is-

A vessel contains 14 g (7 moles) of hydrogen and 96 g (3 moles) of oxygen at STP. Chemical reaction is induced by passing electric spark in the vessel till one of the gases is consumed. The temperature is brought back to it's starting value 273 K. The pressure in the vessel is-

Physics-General

A fine steel wire of length 4m is fixed rigidly in a heavy brass frame as shown in figure. It is just taut at $20 to the power of ring operator end exponent C$ . The tensile stress developed in steel wire if whole system is heated to $120 to the power of ring operator end exponent C$ is :–
$text (Given end text open alpha subscript text lras end text end subscript equals 1.8 cross times 10 to the power of negative 5 end exponent degree C to the power of negative 1 end exponent comma alpha subscript text sleel end text end subscript equals 1.2 cross times 10 to the power of negative 5 end exponent blank to the power of ring operator end exponent C to the power of negative 1 end exponent comma Y subscript text steel end text end subscript equals 2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent comma Y subscript text bas end text end subscript equals 1.7 cross times 10 to the power of 7 end exponent N m to the power of negative 2 end exponent close parentheses$

A fine steel wire of length 4m is fixed rigidly in a heavy brass frame as shown in figure. It is just taut at $20 to the power of ring operator end exponent C$ . The tensile stress developed in steel wire if whole system is heated to $120 to the power of ring operator end exponent C$ is :–
$text (Given end text open alpha subscript text lras end text end subscript equals 1.8 cross times 10 to the power of negative 5 end exponent degree C to the power of negative 1 end exponent comma alpha subscript text sleel end text end subscript equals 1.2 cross times 10 to the power of negative 5 end exponent blank to the power of ring operator end exponent C to the power of negative 1 end exponent comma Y subscript text steel end text end subscript equals 2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent comma Y subscript text bas end text end subscript equals 1.7 cross times 10 to the power of 7 end exponent N m to the power of negative 2 end exponent close parentheses$

Physics-General

parallel

Figures shows the expansion of a 2m long metal rod with temperature. The volume expansion coefficient of the metal is :–

Figures shows the expansion of a 2m long metal rod with temperature. The volume expansion coefficient of the metal is :–

Physics-General

The figure shows two thin rods, one made of aluminum $open square brackets alpha equals 23 cross times 10 to the power of negative 6 end exponent open parentheses C to the power of 0 end exponent close parentheses to the power of negative 1 end exponent close square brackets$ and the other of steel $open square brackets alpha equals 12 cross times 10 to the power of negative 6 end exponent open parentheses C to the power of 0 end exponent close parentheses to the power of negative 1 end exponent close square brackets$ . Each rod has the same length and the same initial temperature. They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount, until the gap between the rods vanishes. Where do the rods meet when the gap vanishes?

The figure shows two thin rods, one made of aluminum $open square brackets alpha equals 23 cross times 10 to the power of negative 6 end exponent open parentheses C to the power of 0 end exponent close parentheses to the power of negative 1 end exponent close square brackets$ and the other of steel $open square brackets alpha equals 12 cross times 10 to the power of negative 6 end exponent open parentheses C to the power of 0 end exponent close parentheses to the power of negative 1 end exponent close square brackets$ . Each rod has the same length and the same initial temperature. They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount, until the gap between the rods vanishes. Where do the rods meet when the gap vanishes?

Physics-General

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .The power supplied to the cart, when its velocity becomes 5 m/sec., is equal to :

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .The power supplied to the cart, when its velocity becomes 5 m/sec., is equal to :

Physics-General

parallel

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .The time at which velocity of cart becomes 2 m/sec, is equal to

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .The time at which velocity of cart becomes 2 m/sec, is equal to

Physics-General

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .In the above problem, what is the acceleration of cart at this instant –

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .In the above problem, what is the acceleration of cart at this instant –

Physics-General

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .Velocity of cart at t = 10 sec. is equal to :

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ .Velocity of cart at t = 10 sec. is equal to :

Physics-General

parallel

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ . Initially $left parenthesis t equals 0 right parenthesis$ the force on the cart is equal to :

on relative change of momentum with respect to surface. Let any instant the velocity of surface is u, then above equation becomes – $F equals rho A open parentheses V subscript 0 end subscript minus u close parentheses to the power of 2 end exponent left square bracket 1 minus c o s invisible function application theta right square bracket$ Based on above concept, in the below given figure, if the cart is frictionless and free to move in horizontal direction, then answer the following :

Given cross-section area of jet $equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent$ velocity of jet $V subscript 0 end subscript equals 10 text end text m divided by s e c$ ., density of liquid $equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s$ of cart $equals M equals 10 text end text k g$ . Initially $left parenthesis t equals 0 right parenthesis$ the force on the cart is equal to :

Physics-General

A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from

A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from

Physics-General

Two forces $F subscript 1 end subscript$ and $F subscript 2 end subscript$ act on a thin uniform elastic rod placed in space. Force $F subscript 1 end subscript$ acts at right end of the rod and $F subscript 2 end subscript$ acts exactly at centre of the rod as shown (both forces act parallel to length of the rod).
i) $F subscript 1 end subscript$ causes extension of rod while $F subscript 2 end subscript$ causes compression of rod.
ii) $F subscript 1 end subscript$ causes extension of rod and $F subscript 2 end subscript$ also causes extension of rod.
iii) $F subscript 1 end subscript$ causes extension of rod while $F subscript 2 end subscript$ does not change length of rod.
The correct order of True / False in above statements is

Two forces $F subscript 1 end subscript$ and $F subscript 2 end subscript$ act on a thin uniform elastic rod placed in space. Force $F subscript 1 end subscript$ acts at right end of the rod and $F subscript 2 end subscript$ acts exactly at centre of the rod as shown (both forces act parallel to length of the rod).
i) $F subscript 1 end subscript$ causes extension of rod while $F subscript 2 end subscript$ causes compression of rod.
ii) $F subscript 1 end subscript$ causes extension of rod and $F subscript 2 end subscript$ also causes extension of rod.
iii) $F subscript 1 end subscript$ causes extension of rod while $F subscript 2 end subscript$ does not change length of rod.
The correct order of True / False in above statements is

Physics-General

parallel

A rod of length 1000 mm and co-efficient of linear expansion $alpha equals 10 to the power of negative 4 end exponent$ per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young's modulus of the rod is $10 to the power of 11 end exponent N divided by m to the power of 2 end exponent$ . If the temperature is increased by $20 to the power of ring operator end exponent C$ , then the stress developed in therod is (in $N divided by m to the power of 2 end exponent$ ):

A rod of length 1000 mm and co-efficient of linear expansion $alpha equals 10 to the power of negative 4 end exponent$ per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young's modulus of the rod is $10 to the power of 11 end exponent N divided by m to the power of 2 end exponent$ . If the temperature is increased by $20 to the power of ring operator end exponent C$ , then the stress developed in therod is (in $N divided by m to the power of 2 end exponent$ ):

Physics-General

A long capillary tube of mass ' $pi$ ' gm, radius 2mm and negligible thickness, is partially immersed in a liquid of surface tension 0.1 N/m. Take angle of contact zero and neglect buoyant force of liquid. The force required to hold the tube vertically, will be - (g = 10 $m divided by s to the power of 2 end exponent$ )

A long capillary tube of mass ' $pi$ ' gm, radius 2mm and negligible thickness, is partially immersed in a liquid of surface tension 0.1 N/m. Take angle of contact zero and neglect buoyant force of liquid. The force required to hold the tube vertically, will be - (g = 10 $m divided by s to the power of 2 end exponent$ )

Physics-General

Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section find the maximum radius of xylum tube in a 10 m high coconut tree so that water can rise to the top. (surface tension of water = 0.1N/m, Angle of contact of water with xylem tube= $60 to the power of ring operator end exponent$ )

Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross-section find the maximum radius of xylum tube in a 10 m high coconut tree so that water can rise to the top. (surface tension of water = 0.1N/m, Angle of contact of water with xylem tube= $60 to the power of ring operator end exponent$ )

Physics-General

parallel

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