Maths-

General

Easy

Question

- 6
- 1
- 0

Hint:

### It is sequence, it can be seen easily that it tends to 0.In this question, we have to find value of .

## The correct answer is:

On substituting, We get

### Related Questions to study

physics-

### 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 If are the respective temperature at A, B, C and D Then, choose the correct statement if

physics-General

physics-

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

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

physics-General

physics-

### 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

physics-

### 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

physics-

### 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

### 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

physics-General

physics-

### 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

physics-General

Maths-

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

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

physics-

### 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.

### 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.

physics-General

physics-

### 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

maths-

### A random variable has the following distribution Then for the values, A = K, B = Mean,

C = Variance, the ascending order is

### A random variable has the following distribution Then for the values, A = K, B = Mean,

C = Variance, the ascending order is

maths-General

Maths-

### 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

### 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

Maths-General

maths-

### 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 probability Distribution Events E= {X is a prime number} and F= {X / X < 4}

Which of I, II is (are) true

maths-General

Maths-

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

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

Maths-General

Maths-

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

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

Maths-General

Maths-

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

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

Maths-General