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?

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

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

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

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

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

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

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

A 5 m long alummininm wire  of diameter 3 men supports a 40 kg mass. In order to have the same elongation in a copper wire  of the same length under the same weight, the diameter should now be in men.

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

A random variable has the following distribution  Then for the values, A = K, B = Mean,
C = Variance, the ascending order is

The probability distribution of a random variable X is given below  A:p (2 ≤ x < 4) B:p(x≥ 4) C p (x ≤ 3) D:p(3≤ x≤ 5) Arrange A, B, C, D in ascending order of magnitude

A random variable X has the probability Distribution  Events E= {X is a prime number} and F= {X / X < 4}


Which of I, II is (are) true

A random variable x has the following probability distribution  Determine P(X > 6)