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)

The range of a random variable X is {0,1, 2} and , P(x = 2)= 5K -1. Then we have

If the range of random variable  and for k =0,1, 2,.....then c =

The range of a random variable X = {1, 2,3, 4,......} and the probabilities are given by , then the value of C is

Colours of thin films result from (or) On a rainy day, a small oil film on water show brilliant colours. This is due to

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

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

A lens when placed on a plane mirror then object needle and its image coincide at 15 cm. The focal length of the lens is

How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.06 mm (Young's modulus for brass)