Physics-
General
Easy

Question

The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm2  will be.....open parentheses straight Y equals 9 cross times 10 to the power of 11 straight N over mi to the power of 7 close parentheses

  1. 9 cross times 10 to the power of 11 straight J
  2. 4.5 cross times 10 to the power of 7 straight J
  3. 9 cross times 10 to the power of 7 straight J
  4. 4.5 cross times 10 to the power of 11 straight J

The correct answer is: 4.5 cross times 10 to the power of 7 straight J

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Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses square root of x squared plus x end root minus x close parentheses

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means fraction numerator 0 over denominator 0 space end fraction space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses square root of x squared plus x end root minus x close parentheses

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We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means fraction numerator 0 over denominator 0 space end fraction space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

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text  Lt  end text subscript x not stretchy rightwards arrow straight infinity end subscript left parenthesis square root of x plus 1 end root minus square root of x right parenthesis

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or infinity over infinity.

text  Lt  end text subscript x not stretchy rightwards arrow straight infinity end subscript left parenthesis square root of x plus 1 end root minus square root of x right parenthesis

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We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or infinity over infinity.

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text  Lt  end text subscript x not stretchy rightwards arrow straight infinity end subscript fraction numerator a subscript 0 plus a subscript 1 x to the power of 1 plus a subscript 2 x squared plus horizontal ellipsis plus a subscript n x to the power of n over denominator b subscript 0 plus b subscript 1 x to the power of 1 plus b subscript 2 x squared plus horizontal ellipsis comma plus b subscript m x to the power of n end fraction text  where  end text a subscript n greater than 0 comma b subscript m greater than 0 text  and  end text n greater than m

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or infinity over infinity.

text  Lt  end text subscript x not stretchy rightwards arrow straight infinity end subscript fraction numerator a subscript 0 plus a subscript 1 x to the power of 1 plus a subscript 2 x squared plus horizontal ellipsis plus a subscript n x to the power of n over denominator b subscript 0 plus b subscript 1 x to the power of 1 plus b subscript 2 x squared plus horizontal ellipsis comma plus b subscript m x to the power of n end fraction text  where  end text a subscript n greater than 0 comma b subscript m greater than 0 text  and  end text n greater than m

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We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or infinity over infinity.

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Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?

Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?

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Lt subscript x not stretchy rightwards arrow straight infinity end subscript open square brackets square root of x squared plus a x plus b end root minus x close square brackets

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or infinity over infinity.

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The figure shows P–V diagram of a thermodynamic cycle If T subscript A end subscript comma T subscript B end subscript comma T subscript C end subscript text  and  end text T subscript D end subscript are the respective temperature at A, B, C and D Then, choose the correct statement if T subscript A end subscript equals T subscript 0 end subscript

The figure shows P–V diagram of a thermodynamic cycle If T subscript A end subscript comma T subscript B end subscript comma T subscript C end subscript text  and  end text T subscript D end subscript are the respective temperature at A, B, C and D Then, choose the correct statement if T subscript A end subscript equals T subscript 0 end subscript

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The figure shows P–V diagram of a thermodynamic cycle The work done by the cycle is

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A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy An ideal gas under goes a thermodynamic cycle as shown in fig Which of the following graphs represents the same cycle?

A)
B) 
C)
D) 

A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy An ideal gas under goes a thermodynamic cycle as shown in fig Which of the following graphs represents the same cycle?

A)
B) 
C)
D) 

physics-General
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A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy The P V diagram for the process is

A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy The P V diagram for the process is

physics-General
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The V–T diagram of an ideal gas for the process A rightwards arrow B rightwards arrow C(straight lines) is as shown in the figure In the process A rightwards arrow B rightwards arrow C

A) pressure is always increasing
B) for some interval pressure decreases but finally pressure is more than initial pressure
C) pressure first increases then remains constant
D) graph AB is unpredictable about pressure

The V–T diagram of an ideal gas for the process A rightwards arrow B rightwards arrow C(straight lines) is as shown in the figure In the process A rightwards arrow B rightwards arrow C

A) pressure is always increasing
B) for some interval pressure decreases but finally pressure is more than initial pressure
C) pressure first increases then remains constant
D) graph AB is unpredictable about pressure

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Statement-1: Two vessels A and B are connected to each other by a stopcock .Vessel A contains a gas at 300K and 1 atmosphere pressure and vessel B is evacuated The two vessels are thermally insulated from the surroundings If the stopcock is suddenly opened, the expanding gas does no work
Statement-2: Since D Q = 0 and as the gas expands freely so DW = 0 and from the first law of thermodynamics it follows that DU is also zero for the above process

Statement-1: Two vessels A and B are connected to each other by a stopcock .Vessel A contains a gas at 300K and 1 atmosphere pressure and vessel B is evacuated The two vessels are thermally insulated from the surroundings If the stopcock is suddenly opened, the expanding gas does no work
Statement-2: Since D Q = 0 and as the gas expands freely so DW = 0 and from the first law of thermodynamics it follows that DU is also zero for the above process

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Lt subscript n not stretchy rightwards arrow straight infinity end subscript space fraction numerator 1 cubed plus 2 cubed plus 3 cubed plus midline horizontal ellipsis times plus n cubed over denominator n squared open parentheses n squared plus 1 close parentheses end fraction

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

Lt subscript n not stretchy rightwards arrow straight infinity end subscript space fraction numerator 1 cubed plus 2 cubed plus 3 cubed plus midline horizontal ellipsis times plus n cubed over denominator n squared open parentheses n squared plus 1 close parentheses end fraction

Maths-General

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

General
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A 5 m long alummininm wire open parentheses straight Y equals 7 cross times 10 to the power of 10 straight N over straight m squared close parentheses of diameter 3 men supports a 40 kg mass. In order to have the same elongation in a copper wire straight Y equals 12 cross times 10 to the power of 10 straight N over straight m squared of the same length under the same weight, the diameter should now be in men.

A 5 m long alummininm wire open parentheses straight Y equals 7 cross times 10 to the power of 10 straight N over straight m squared close parentheses of diameter 3 men supports a 40 kg mass. In order to have the same elongation in a copper wire straight Y equals 12 cross times 10 to the power of 10 straight N over straight m squared of the same length under the same weight, the diameter should now be in men.

physics-General
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Statement-1: First law of thermodynamics specifies the conditions under which a body can use its heat energy to produce the work
Statement-2: Second law of thermodynamics states that heat always flows from hot body to cold body by itself

Statement-1: First law of thermodynamics specifies the conditions under which a body can use its heat energy to produce the work
Statement-2: Second law of thermodynamics states that heat always flows from hot body to cold body by itself

physics-General
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