If the pressure of a gas is 6 × 10 4 N m - 2 , then the kinetic energy of molecules per unit volume will be:

Energy cannot be determined as data available is insufficient.

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What is the principle of 'just distribution' in the context of social justice?

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Important Questions on Permutation and Combination

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Mathematics>Algebra>Permutation and Combination>Permutations

Suppose that

20

pillars of the same height have been erected along the boundary of circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is:

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

There are

m

men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by

84

, then the value of

m

is :

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Mathematics>Algebra>Permutation and Combination>Permutations

A committee of

11

member is to be formed from

8

males and

5

females. If

m

is the number of ways the committee is formed with at least

6

males and

n

is the number of ways the committee is formed with at least

3

females, then

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Mathematics>Algebra>Permutation and Combination>Permutations

Consider a class of

5

girls and

7

boys. The number of different teams consisting of

2

girls and

3

boys that can be formed from this class, if there are two specific boys

A

and

B,

who refuse to be the members of the same team, is:

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Mathematics>Algebra>Permutation and Combination>Permutations

A determinant of second order is made with the elements 0, 1. What is the probability that the determinant is positive?

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Mathematics>Algebra>Permutation and Combination>Permutations

The Number of ways of choosing

10

objects out of

31

objects of which

10

are identical and the remaining

21

are distinct, is:

HARD

Mathematics>Algebra>Permutation and Combination>Permutations

If in a regular polygon the number of diagonals is

54

, then the number of sides of this polygon is:

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Mathematics>Algebra>Permutation and Combination>Permutations

The value of

\sum_{r = 1}^{10} r \cdot \frac{{}^{n}C_{r}}{{}^{n}C_{r - 1}}

is equal to

HARD

Mathematics>Algebra>Permutation and Combination>Permutations

Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than

99 %

is:

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

Two cards are drawn at random and one-by-one without replacement from a well-shuffled pack of

52

playing cards. Find the probability that one card is red and the other is black.

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Mathematics>Algebra>Permutation and Combination>Permutations

The number of natural numbers less than

7000

which can be formed by using the digits

0, 1, 3, 7, 9

(repetition of digits allowed) is equal to:

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

Given below are two statements:

Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.

Statement II : In a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule.

In the light of the above statements, choose the correct answer from the options given below:

HARD

Mathematics>Algebra>Permutation and Combination>Permutations

{\sum_{i = 1}^{20} (\frac{^{20} C_{i - 1}}{^{20} C_{i} +^{20} C_{i - 1}})}^{3} = \frac{k}{21},

then

k

equals

HARD

Mathematics>Algebra>Permutation and Combination>Permutations

In a class of

60

students,

40

opted for NCC,

30

opted for NSS and

20

opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is :

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

A man is climbing up a spiral staircase. His degrees of freedom are

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

C O_{2} (O - C - O)

is a triatomic gas. The mean kinetic energy of one gram of the gas will be (

N

= Avogadro number,

k

= Boltzmann constant and the molecular weight of

C O_{2} = 44

)

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

Molecule of a gas can be modelled as three sphere connected through three rigid rods as to make triangle like structure. A gas containing such molecules performs 25 J of work when it expands at constant pressure. Heat given to gas is –

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

If the total number of

H_{2}

molecules are double that of the

O_{2}

molecules, then the ratio of total kinetic energies of

H_{2}

gas to that of

O_{2}

gas at

300 K

is,

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

If the pressure of a gas is

6 \times 10^{4} N m^{- 2}

, then the kinetic energy of molecules per unit volume will be:

EASY

Mathematics>Algebra>Permutation and Combination>Permutations

If the temperature of

3

moles of helium gas is increased by

2 K

., then the change in the internal energy of helium gas is

What is the principle of 'just distribution' in the context of social justice?

Important Questions on Permutation and Combination

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