A German physicist, George Simon Ohm established the relation between the potential difference and current, which is known as Ohm’s Law. Ohm's law states that at constant temperature the current flowing through a conductor is directly proportional to the potential difference across its ends.

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The current flows from positive terminal to negative terminal inside a cell.

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Important Questions on Algebraic Expression

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The sum of two forces

\vec{P}

and

\vec{Q}

\vec{R}

such that

|\vec{R}| = |\vec{P}|

. The angle

θ

(in degree) that the resultant of

2 \vec{P}

and

\vec{Q}

will make with

\vec{Q}

is, ________

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Following figures shows graph of $I - V$ . Which graph is correct according to Ohm's law?

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Let

f (x) = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + \frac{x^{4}}{4!}

. The number of real roots of

f (x) = 0

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The plot that depicts the behavior of the mean free time

τ

(time between two successive collisions) for the molecules of an ideal gas, as a function of temperature

(T),

qualitatively, is: (Graphs are schematic and not drawn to scale)

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SI unit of resistance is

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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:

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An ideal gas is enclosed in a cylinder at pressure of

2

atm and temperature,

300 K .

The mean time between two successive collisions is

6 \times 10^{- 8} s .

If the pressure is doubled and temperature is increased to

500 K,

the mean time between two successive collisions will be close to:

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An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true ?

(A) the mean free path of the molecules decreases

(B) the mean collision time between the molecules decreases.

(D) the mean collision time remains unchanged.

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State Ohm’s law.

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In figure $R_{1} = 10 Ω, R_{2} = 40 Ω, R_{3} = 30 Ω, R_{4} = 20 Ω, R_{5} = 60 Ω$ and a $12 V$ battery is connected to the arrangement. Calculate:

(a) Total resistance in the circuit.

(b) Total current flowing in the circuit.

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A flask contains a mixture of isohexane and

3

-methylpentane. One of the liquids boils at

63^{o} C

while the other boils at

60^{o} C .

What is the best way to separate the two liquids and which one will be distilled out first?

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Draw a circuit diagram for verifying Ohm's law. Connect a resistor, an ammeter, a plug key, a battery and a voltmeter across the resistor. Show the direction of the flow of current.

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Two gases - argon (atomic radius

0.07 n m,

atomic weight

40

) and xenon (atomic radius

0.1 n m,

atomic weight

140

) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:

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One mole of an ideal gas passes through a process where pressure and volume obey the relation

P = P_{o} [1 - \frac{1}{2} {(\frac{V_{o}}{V})}^{2}]

. Here

P_{o}

and

V_{o}

are constants. Calculate the change in the temperature of the gas if its volume changes from

V_{o}

2 V_{o}

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a + \frac{1}{a} = 8, t h e n a^{3} + \frac{1}{a^{3}} = ?

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The maximum area of a rectangle inscribed in the circle

{(x + 1)}^{2} + {(y - 3)}^{2} = 64

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Straight lines

x - y = 7

and

x + 4 y = 2

intersect at

B .

Points

A

and

C

are so chosen on these two lines such that

A B = A C .

The equation of line

A C

passing through

(2, - 7)

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In one circuit, resistance of wire is

10 Ω

. If it is connected with

2.5 V

battery, how much electric current will flow through it?

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State Ohm's law and give its experimental verification.

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Observe the correlation in the first pair and complete the second pair:
$1 volt = \frac{1 Joule}{1 Coulomb}$ :: $1 ohm =$ ________

The current flows from positive terminal to negative terminal inside a cell.

Important Questions on Algebraic Expression

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