Physics-
General
Easy
Question
The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of from its surface. What will be the change of the type?
- shape
- size
- none
- shape & size
The correct answer is: shape & size
Related Questions to study
physics-
For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisons ratio?
For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisons ratio?
physics-General
physics-
If the volume of a block of aluminum is decreased, by the pressure (stress) on its surface is increased by. (Bulk modulus of ![open straight A ell equals 7.5 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
If the volume of a block of aluminum is decreased, by the pressure (stress) on its surface is increased by. (Bulk modulus of ![open straight A ell equals 7.5 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
physics-General
physics-
The isothermal elasticity of a gas is equal to.
The isothermal elasticity of a gas is equal to.
physics-General
physics-
When a 4 kg makes a hung vertically on a light spring that obeys Hook's law, the spring stretches by 2 cm what will be the work required to be done by an extenal agent in stretching this spring by 5 cm?
When a 4 kg makes a hung vertically on a light spring that obeys Hook's law, the spring stretches by 2 cm what will be the work required to be done by an extenal agent in stretching this spring by 5 cm?
physics-General
physics-
Equal masses of 3 liquids A, B and C have temperatures
C ,
C and
C respectively. If A and B are mixed, the mixture has a temperature of
C. If B and C are mixed,the mixture has a temperature of
ºC . If A & C are mixed the temperature of the mixture is
Equal masses of 3 liquids A, B and C have temperatures
C ,
C and
C respectively. If A and B are mixed, the mixture has a temperature of
C. If B and C are mixed,the mixture has a temperature of
ºC . If A & C are mixed the temperature of the mixture is
physics-General
physics-
k is the force constant of a spring what will be the work done in increasing its extension form to
be
k is the force constant of a spring what will be the work done in increasing its extension form to
be
physics-General
maths-
When a coin is tossed, p(X = r heads)=
When a coin is tossed, p(X = r heads)=
maths-General
maths-
If X B(20, 1 / 2) The variance is
If X B(20, 1 / 2) The variance is
maths-General
Maths-
then the values of a and b are
then the values of a and b are
Maths-General
physics-
When a force is applied on a wire of uniform cross-sectional area
and length 4 m, the increase in length is 1 mm. what will be energy stored in it ?![open parentheses straight Y equals 2 cross times 10 to the power of 11 straight N over straight m squared close parentheses](data:image/png;base64,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)
When a force is applied on a wire of uniform cross-sectional area
and length 4 m, the increase in length is 1 mm. what will be energy stored in it ?![open parentheses straight Y equals 2 cross times 10 to the power of 11 straight N over straight m squared close parentheses](data:image/png;base64,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)
physics-General
physics-
On stretching a wire what is the elastic energy stored per unit volume?
On stretching a wire what is the elastic energy stored per unit volume?
physics-General
physics-
The dot in figure represents the initial state of a gas An adiabat divides the p-V diagram into regions 1 and 2 as shown As the gas moves down along the adiabatic, the temperature
![](data:image/png;base64,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)
The dot in figure represents the initial state of a gas An adiabat divides the p-V diagram into regions 1 and 2 as shown As the gas moves down along the adiabatic, the temperature
![](data:image/png;base64,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)
physics-General
physics-
The dot in figure represents the initial state of a gas An adiabat divides the p-V diagram into regions 1 and 2 as shown For which of the following processes, the corresponding heat supplied to the system Q is positive
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)
The dot in figure represents the initial state of a gas An adiabat divides the p-V diagram into regions 1 and 2 as shown For which of the following processes, the corresponding heat supplied to the system Q is positive
![](data:image/png;base64,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)
physics-General
physics-
Two cylinder A and B having piston connected by massless rod (as shown in figure) The cross-sectional area of two cylinders are same & equal to ‘S’ The cylinder A contains m gm of an ideal gas at Pressure P & temperature
The cylinder B contain identical gas at same temperature
but has different mass The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0 The walls & piston of cylinder A are thermally insulated, where as cylinder B is maintained at temperature
The whole system is in vacuum Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes
Then (here g for gas = 1.5) What will be the compressive force in connecting rod at equilibrium
![](data:image/png;base64,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)
Two cylinder A and B having piston connected by massless rod (as shown in figure) The cross-sectional area of two cylinders are same & equal to ‘S’ The cylinder A contains m gm of an ideal gas at Pressure P & temperature
The cylinder B contain identical gas at same temperature
but has different mass The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0 The walls & piston of cylinder A are thermally insulated, where as cylinder B is maintained at temperature
The whole system is in vacuum Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes
Then (here g for gas = 1.5) What will be the compressive force in connecting rod at equilibrium
![](data:image/png;base64,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)
physics-General
physics-
Two cylinder A and B having piston connected by massless rod (as shown in figure) The cross-sectional area of two cylinders are same & equal to ‘S’ The cylinder A contains m gm of an ideal gas at Pressure P & temperature
The cylinder B contain identical gas at same temperature
but has different mass The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0 The walls & piston of cylinder A are thermally insulated, where as cylinder B is maintained at temperature
The whole system is in vacuum Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes
Then (here g for gas = 1.5) If work done by the gas in cylinder B is WB & work done by the gas in cylinder A is WA then
![](data:image/png;base64,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)
Two cylinder A and B having piston connected by massless rod (as shown in figure) The cross-sectional area of two cylinders are same & equal to ‘S’ The cylinder A contains m gm of an ideal gas at Pressure P & temperature
The cylinder B contain identical gas at same temperature
but has different mass The piston is held at the state in the position so that volume of gas in cylinder A & cylinder B are same & is equal to V0 The walls & piston of cylinder A are thermally insulated, where as cylinder B is maintained at temperature
The whole system is in vacuum Now the piston is slowly released and it moves towards left & mechanical equilibrium is reached at the state when the volume of gas in cylinder A becomes
Then (here g for gas = 1.5) If work done by the gas in cylinder B is WB & work done by the gas in cylinder A is WA then
![](data:image/png;base64,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)
physics-General