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Standard IX

Physics

Ohm's Law

V-I curve is ...

Question

V-I curve is plotted for different metals at constant temprature and pressure. Which of the following curves satisfy the Ohm's law?

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Solution

The correct options are
B B
C C
According to ohm's law, the potential difference, $V$ across the two ends of a conductor is directly proportional to the electric current, $I$ flowing through it at a given temperature and pressure.
$\Rightarrow V \propto I$
$\Rightarrow V = I R$
where $R$ is the resistance of conductor

Hence, potential difference and current are linearly related. The graph of potential difference v/s current is a straight line with a constant slope. This is satisfied by $B$ and $C$ .

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The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, $V_{1}$ and $V_{2}$ . When $V_{1} > V 2$ , the

Q. Graphs between pressure and volume are plotted at different temperatures. Which of the following isotherms represents Boyle's law as

P V = c o n s t a n t

Q. The sketch shows the plot of Z v/s P for a hypothetical gas for one mole at three distinct temperature . Boyle's temperature is the temperature at which a gas shows ideal behavior over a pressure range in the low-pressure region .Boyle's temperature

(T_{b})

\frac{a}{R b}

.If a plot is obtained at temperatures well below Boyle's temperature then the curve will show negative deviation,in low-pressure region and positive deviation in the high-pressure region.Near critical temperature, the curve is more likely as

C O_{2}

and the temperature well above critical temperature curve is more like

H_{2}

O^{0}

C as shown above.At high pressure suppose all the constant temperature curve varies linearly with pressure according to the following equation

Z = 1 + \frac{P b}{R T} (R = 2 c a l m o l^{- 1} K^{- 1}

)

Which of the following is correct?

As the pressure approaching zero i.e., at very low pressure, the curves plotted between compressibility factor Z and P for n mole of gases have the following characteristics.

I. The intercept on the y-axis leads to a value of unity.
II. The intercept on the y-axis leads to a value of 'n'.
III. The curves posses the same slope for different gases at the same temperature.
IV. The curves posses different slope for different gases at the same temperature.
V. The curves posses the same slope for gas at different temperatures.

The sketch shows the plot of

Z

v/s

P

for a hypothetical gas for one mole at three distinct temperature. Boyle's temperature is the temperature at which a gas shows ideal behavior over a pressure range in the low-pressure region. Boyle's temperature

(T_{b})

\frac{a}{R b}

.If a plot is obtained at temperatures well below Boyle's temperature then the curve will show negative deviation, in the low-pressure region and positive deviation in the high-pressure region. Near critical temperature, the curve is more likely as

C O_{2}

and the temperature well above critical temperature curve is more like

H_{2}

O^{o} C

as shown above.At high pressure suppose all the constant temperature curve varies linearly with pressure according to the following equation

Z = 1 + \frac{P b}{R T} (R = 2 c a l m o l^{- 1} K^{- 1}

)

For 500

K

plot value of

Z

changes from 2 to 2.2 ,if pressure is varied from 1000

a t m

to 1200

a t m

(high pressure) then the value of

\frac{b}{R T}

will be:

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