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Which body is responsible for the delimitation of constituencies in India?

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Important Questions on Systems of Particles and Rotational Motion

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

In a physical balance working on the principle of moments, when

5 mg

weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

The quantities of heat required to raise the temperature of two solid copper spheres of radii

r_{1}

and

r_{2} (r_{1} = 1.5 r_{2})

through

1 K

are in the ratio:

MEDIUM

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Two newspapers

A

and

B

are published in a city. It is known that

25 %

of the city population reads

A

and

20 %

reads

B

while

8 %

reads both

A

and

B .

Further,

30 %

of those who read

A

but not

B

look into advertisements and

40 %

of those who read

B

but not

A

also look into advertisements, while

50 %

of those who read both

A

and

B

look into advertisements. Then the percentage of the population who look into advertisements is:

HARD

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

The specific heats,

C_{p}

and

C_{v}

of a gas of diatomic molecules,

A,

are given (in units of

J m o l^{- 1} K^{- 1}

) by

29

and

22,

respectively. Another gas of diatomic molecules,

B,

has the corresponding values

30

and

21 .

If they are treated as ideal gases, then:

MEDIUM

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

In a class of

140

students numbered

1

140

, all even numbered students opted Mathematics course, those whose number is divisible by

3

opted Physics course and those whose number is divisible by

5

opted Chemistry course. Then the number of students who did not opt for any of the three courses is:

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of

γ = \frac{C_{p}}{C_{v}}

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Water is used as a coolant because

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Describe the total degrees of freedom for mono-atomic molecule, diatomic molecule and triatomic molecule.

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Estimate the total number of air molecules in a room of capacity

25 m^{3}

at a temperature of

27 ° C

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

500 J

of heat energy is removed from

4 moles

of a monoatomic ideal gas at constant volume. The temperature drops by

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

C_{P}

and

C_{v}

denote the specific heats of unit mass of nitrogen at constant pressure and volume respectively, then:

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

The ratio

γ = \frac{C_{p}}{C_{v}}

for a gas mixture consisting of

8 g

of helium and

16 g

of oxygen is

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

The temperature of a silver bar rises by

10 ° C

when it absorbs

1.23 kJ

of energy by heat. The mass of the bar is

525 g

. Determine the specific heat of silver.

MEDIUM

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Derive the ratio of two specific heat capacities of mono-atomic, diatomic and triatomic molecules.

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

In the above question, if

γ = 1.5

, the gas may

MEDIUM

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

A gaseous mixture enclosed in a vessel contains

1 g

mole of a gas

A

(with

γ = 5 / 3

) and another gas

B

(with

γ = 7 / 5

) at a temperature

T

. The gases

A

and

B

do not react with each other and are assumed to be ideal. The number of gram moles of

B

γ

for the gaseous mixture is

19 / 13

is:

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

If universal gas constant is

R

, the essential heat to increase from 273 K to 473 K at constant volume for monoatomic ideal gas of 4 mol is

HARD

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

One mole of an ideal monatomic gas at temperature

T_{0}

expands slowly according to the law

\frac{P}{V} = c

. If the final temperature is

2 T_{0}

, heat supplied to the gas is: (

c

is a constant)

EASY

Physics>Mechanics>Systems of Particles and Rotational Motion>Equilibrium of a Rigid Body

Two mole of oxygen is mixed with eight mole of helium. The effective specific heat of the mixture at constant volume is _____

R

Which body is responsible for the delimitation of constituencies in India?

Important Questions on Systems of Particles and Rotational Motion

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