Q 1 :

Read the passage given below and answer the following questions from (i) to (v).

Ohm’s law is the relationship between potential difference and current in a circuit which was first established by George Simon Ohm. The law states that the current passing through a metallic conductor is directly proportional to the potential difference applied between its ends. $V\propto I i.e., V=kI$  Where k is the resistance offered by the conductor and is constant for a given conductor. Although a large class of materials is known to follow Ohm’s law, there do exist materials used in circuits that do not follow the direct relationship between V & I.

 

(i) If in a circuit both the potential difference and resistance are doubled, then:

• current is doubled.

   

• current is halved.

   

• current remains same.

   

• current is four times.

   

Q 2 :

Read the passage given below and answer the following questions from (i) to (v).

Ohm’s law is the relationship between potential difference and current in a circuit which was first established by George Simon Ohm. The law states that the current passing through a metallic conductor is directly proportional to the potential difference applied between its ends.   Where k is the resistance offered by the conductor and is constant for a given conductor. Although a large class of materials is known to follow Ohm’s law, there do exist materials used in circuits that do not follow the direct relationship between V & I.

 

(ii) When a battery of 9 V is connected across a conductor and the current flowing is 0.1 A, the resistance is:

• $90 \Omega$

   

• $0.9 \Omega$

   

• $9 \Omega$

   

• $900 \Omega$

   

Q 3 :

Read the passage given below and answer the following questions from (i) to (v).

Ohm’s law is the relationship between potential difference and current in a circuit which was first established by George Simon Ohm. The law states that the current passing through a metallic conductor is directly proportional to the potential difference applied between its ends.   Where k is the resistance offered by the conductor and is constant for a given conductor. Although a large class of materials is known to follow Ohm’s law, there do exist materials used in circuits that do not follow the direct relationship between V & I.

 

(iii) By increasing voltage across a conductor:

• current will increase.

   

• current will decrease.

   

• resistance will decrease.

   

• resistance will increase.

   

Q 4 :

Read the passage given below and answer the following questions from (i) to (v).

Ohm’s law is the relationship between potential difference and current in a circuit which was first established by George Simon Ohm. The law states that the current passing through a metallic conductor is directly proportional to the potential difference applied between its ends.   Where k is the resistance offered by the conductor and is constant for a given conductor. Although a large class of materials is known to follow Ohm’s law, there do exist materials used in circuits that do not follow the direct relationship between V & I.

 

(iv) The slope of the V-I graph shall give:

• resistance

   

• reciprocal of resistance

   

• power

   

• charge

   

Q 5 :

Read the passage given below and answer the following questions from (i) to (v).

Ohm’s law is the relationship between potential difference and current in a circuit which was first established by George Simon Ohm. The law states that the current passing through a metallic conductor is directly proportional to the potential difference applied between its ends.   Where k is the resistance offered by the conductor and is constant for a given conductor. Although a large class of materials is known to follow Ohm’s law, there do exist materials used in circuits that do not follow the direct relationship between V & I.

 

(v) Four students have plotted the graph between V-I for a conductor. Which one is correct?

Q 6 :

Read the passage given below and answer the following questions from (i) to (v).

In a circuit, several resistors may be combined to form a network. The combination must have two endpoints to connect it with a battery or other elements of the circuit. When the resistors are connected in series then the current flowing in each remains the same but potential differences across each resistor will vary. When the resistances are connected in parallel, the potential difference across each resistor will be the same though a different amount of current will flow in each resistor.

 

(i) The household circuits are connected in:

• series

   

• parallel

   

• both series and parallel

   

• neither series nor parallel

   

Q 7 :

Read the passage given below and answer the following questions from (i) to (v).

In a circuit, several resistors may be combined to form a network. The combination must have two endpoints to connect it with a battery or other elements of the circuit. When the resistors are connected in series then the current flowing in each remains the same but potential differences across each resistor will vary. When the resistances are connected in parallel, the potential difference across each resistor will be the same though a different amount of current will flow in each resistor.

 

(ii) The equivalent resistance of two resistors x and y is Z when connected in series and MMM when connected in parallel. Z:M is:

• xy

   

• $x+y\times y$

   

• $\frac{{(x+y)}^2}{xy}$

   

• $xy(2x+2y)$

   

Q 8 :

Read the passage given below and answer the following questions from (i) to (v).

In a circuit, several resistors may be combined to form a network. The combination must have two endpoints to connect it with a battery or other elements of the circuit. When the resistors are connected in series then the current flowing in each remains the same but potential differences across each resistor will vary. When the resistances are connected in parallel, the potential difference across each resistor will be the same though a different amount of current will flow in each resistor.

 

(iii) Two resistances $10\hspace{0.17em}\Omega and 3\hspace{0.17em}\Omega$  are connected in parallel across a battery. If there is a current of 0.2 A in $10\hspace{0.17em}\Omega$ resistor, the voltage supplied by the battery is:

• 2 V

   

• 1 V

   

• 4 V

   

• 8 V

   

Q 9 :

Read the passage given below and answer the following questions from (i) to (v).

In a circuit, several resistors may be combined to form a network. The combination must have two endpoints to connect it with a battery or other elements of the circuit. When the resistors are connected in series then the current flowing in each remains the same but potential differences across each resistor will vary. When the resistances are connected in parallel, the potential difference across each resistor will be the same though a different amount of current will flow in each resistor.

 

(iv) Two wires each having a resistance value equal to R are first connected in series and then connected in parallel. The plot shows the graphical representation of resistances in both cases.

• A denotes parallel combination

   

• B denotes series combination

   

• A denotes series combination and B denotes parallel combination

   

• None of the above

   

Q 10 :

Read the passage given below and answer the following questions from (i) to (v).

In a circuit, several resistors may be combined to form a network. The combination must have two endpoints to connect it with a battery or other elements of the circuit. When the resistors are connected in series then the current flowing in each remains the same but potential differences across each resistor will vary. When the resistances are connected in parallel, the potential difference across each resistor will be the same though a different amount of current will flow in each resistor.

 

(v) The equivalent resistance $(in \Omega )$ of the network across A and B is:

• 2

   

• 1.5

   

• 2.5

   

• 3

   

Q 11 :

Read the passage given below and answer the following questions from (i) to (v).

Resistivity or electrical resistivity is the inverse of electrical conductivity. Resistivity is a fundamental property of a material and it demonstrates how strongly the material resists or conducts electric current. A low resistivity is a clear indication of a material which readily allows electric current. The common representation of resistivity is by the Greek letter $\rho$. Also, the SI unit of electrical resistivity is ohm-meter $(\Omega \hspace{0.17em}m)$. Resistivity refers to the electrical resistance of a conductor of a particular unit cross-sectional area and unit length.

Experts can use resistivity for comparing different materials on the basis of their ability to conduct electric currents. High resistivity is the designation of poor conductors.

 

(i) The value of resistivity depends upon:

• length of wire

   

• area of cross-section

   

• nature of conductor

   

• radius of wire

   

Q 12 :

Read the passage given below and answer the following questions from (i) to (v).

Resistivity or electrical resistivity is the inverse of electrical conductivity. Resistivity is a fundamental property of a material and it demonstrates how strongly the material resists or conducts electric current. A low resistivity is a clear indication of a material which readily allows electric current. The common representation of resistivity is by the Greek letter . Also, the SI unit of electrical resistivity is ohm-meter . Resistivity refers to the electrical resistance of a conductor of a particular unit cross-sectional area and unit length.

Experts can use resistivity for comparing different materials on the basis of their ability to conduct electric currents. High resistivity is the designation of poor conductors.

 

(ii) A wire has the same resistance as the one given in the figure. Calculate its resistivity if the length of the wire is 10 m and its area of cross-section is 2 m².

• $16 \Omega -m$

   

• $8 \Omega -m$

   

• $16 k\Omega -m$

   

• $8 k\Omega -m$

   

Q 13 :

Read the passage given below and answer the following questions from (i) to (v).

Resistivity or electrical resistivity is the inverse of electrical conductivity. Resistivity is a fundamental property of a material and it demonstrates how strongly the material resists or conducts electric current. A low resistivity is a clear indication of a material which readily allows electric current. The common representation of resistivity is by the Greek letter . Also, the SI unit of electrical resistivity is ohm-meter . Resistivity refers to the electrical resistance of a conductor of a particular unit cross-sectional area and unit length.

Experts can use resistivity for comparing different materials on the basis of their ability to conduct electric currents. High resistivity is the designation of poor conductors.

 

(iii) The resistivity of alloys is:

• very low

   

• very high

   

• generally lower than its constituent metals

   

• more than resistivity of insulators

   

Q 14 :

Read the passage given below and answer the following questions from (i) to (v).

Resistivity or electrical resistivity is the inverse of electrical conductivity. Resistivity is a fundamental property of a material and it demonstrates how strongly the material resists or conducts electric current. A low resistivity is a clear indication of a material which readily allows electric current. The common representation of resistivity is by the Greek letter . Also, the SI unit of electrical resistivity is ohm-meter . Resistivity refers to the electrical resistance of a conductor of a particular unit cross-sectional area and unit length.

Experts can use resistivity for comparing different materials on the basis of their ability to conduct electric currents. High resistivity is the designation of poor conductors.

 

A student plotted the graphs as shown below to the study the variation of resistances R of a wire with its length l and radius r:

(I) The resistance of a wire is inversly related to the length of the wire, i.e., $R\propto 1/l$

(II) The resistance of a wire is directly related to the length of the wire, i.e., $R\propto l$

(III) The resistance of a wire is inversly related to the radius of the wire, i.e., $R\propto 1/r$

(IV) The resistance of a wire is inversly related to the sqaure of the radius of the wire, i.e., $R\propto 1/r^2$

• Both I and III

   

• Both II and III

   

• Both I and IV 

   

• Both II and IV

   

Q 15 :

Read the passage given below and answer the following questions from (i) to (v).

Resistivity or electrical resistivity is the inverse of electrical conductivity. Resistivity is a fundamental property of a material and it demonstrates how strongly the material resists or conducts electric current. A low resistivity is a clear indication of a material which readily allows electric current. The common representation of resistivity is by the Greek letter . Also, the SI unit of electrical resistivity is ohm-meter . Resistivity refers to the electrical resistance of a conductor of a particular unit cross-sectional area and unit length.

Experts can use resistivity for comparing different materials on the basis of their ability to conduct electric currents. High resistivity is the designation of poor conductors.

 

(v) A wire of length l and of radius of cross-section r has a resistance of $R\hspace{0.17em}\Omega$. Another wire of same material and of radius of cross-section 2r will have the same R if the length is:

• $l/4$

   

• 2l

   

• 4l

   

• $l/2$

   

Q 16 :

Read the passage given below and answer the following questions from (i) to (v).

The electrical energy consumed by an electrical appliance is given by the product of its power rating and the duration for which it is used. SI unit of electrical energy is the joule. Where a large quantity of energy is involved, using a joule is not convenient as a unit. So, for commercial purposes, bigger units of electrical energy are involved. $1 kilowatt-hour = 3.6 \times {10}^6 joules$ of electrical energy.

 

(i) The value of energy dissipated by a certain heater is E. If the duration of operation of the heater is doubled, the energy dissipated will be:

• halved

   

• doubled

   

• four-times

   

• remains same

   

Q 17 :

Read the passage given below and answer the following questions from (i) to (v).

The electrical energy consumed by an electrical appliance is given by the product of its power rating and the duration for which it is used. SI unit of electrical energy is the joule. Where a large quantity of energy is involved, using a joule is not convenient as a unit. So, for commercial purposes, bigger units of electrical energy are involved.  of electrical energy.

 

(ii) 60 W is the power of a lamp. The energy dissipated in one minute is:

• 360 J

   

• 36 J

   

• 3.6 J

   

• 3600 J

   

Q 18 :

Read the passage given below and answer the following questions from (i) to (v).

The electrical energy consumed by an electrical appliance is given by the product of its power rating and the duration for which it is used. SI unit of electrical energy is the joule. Where a large quantity of energy is involved, using a joule is not convenient as a unit. So, for commercial purposes, bigger units of electrical energy are involved.  of electrical energy.

 

(iii) Calculate the energy transformed by a 5 A current flowing through a resistor of $2\hspace{0.17em}\Omega$ for 30 minutes.

• 90 kJ

   

• 80 kJ

   

• 60 kJ

   

• 40 kJ

   

Q 19 :

Read the passage given below and answer the following questions from (i) to (v).

The electrical energy consumed by an electrical appliance is given by the product of its power rating and the duration for which it is used. SI unit of electrical energy is the joule. Where a large quantity of energy is involved, using a joule is not convenient as a unit. So, for commercial purposes, bigger units of electrical energy are involved.  of electrical energy.

 

(iv) Choose the correct statement:

• 1 watt-hour = 3600 J

   

• $1 kWh = 36 \times {10}^6 J$

   

• Energy in kWh = power in W (watt) × time in hour (h)

   

• Energy in kWh = V × I × T × 1000

   

Q 20 :

Read the passage given below and answer the following questions from (i) to (v).

The electrical energy consumed by an electrical appliance is given by the product of its power rating and the duration for which it is used. SI unit of electrical energy is the joule. Where a large quantity of energy is involved, using a joule is not convenient as a unit. So, for commercial purposes, bigger units of electrical energy are involved.  of electrical energy.

 

(v) Choose the incorrect statement:

• Higher the resistance, the lesser the power consumed.

   

• Lower the resistance, more the voltage drawn.

   

• Higher the resistance, the higher the current flown.

   

• Higher the resistance, the lesser the voltage drawn.

   

Q 21 :

Observe the figure given below and answer the following questions from (i) to (v).

The following graphs represent the current versus voltage and voltage versus current for six conductors A, B, C, D, E, and F.

(i) Among conductors A, B, C, D, E, F, the maximum resistance is shown by:

• curve C

   

• curve A

   

• curve F

   

• curve D

   

Q 22 :

Observe the figure given below and answer the following questions from (i) to (v).

The following graphs represent the current versus voltage and voltage versus current for six conductors A, B, C, D, E, and F.

(ii) Which of the following does not indicate the resistance of curve B?

• The slope of curve B

   

• The ratio of V-intercept to I-intercept

   

• The ratio of total grids on the y-axis to total grids on the x-axis

   

• $3/4 \Omega$

   

Q 23 :

Observe the figure given below and answer the following questions from (i) to (v).

The following graphs represent the current versus voltage and voltage versus current for six conductors A, B, C, D, E, and F.

(iii) Which indicates the correct sum of least resistances of two graphs?

• Curve C + Curve F

   

• Curve A + Curve D

   

• Curve A + Curve F

   

• Curve C + Curve D

   

Q 24 :

Observe the figure given below and answer the following questions from (i) to (v).

The following graphs represent the current versus voltage and voltage versus current for six conductors A, B, C, D, E, and F.

(iv) If resistances shown by curve A and curve E are added, the value will be:

• $1.83 \Omega$

   

• $1.50 \Omega$

   

• $1.64 \Omega$

   

• $1.25 \Omega$

   

Q 25 :

Observe the figure given below and answer the following questions from (i) to (v).

The following graphs represent the current versus voltage and voltage versus current for six conductors A, B, C, D, E, and F.

(v) Which is true for these graphs?

• Both are ohmic conductors

   

• Curve A is ohmic and B is non-ohmic conductor

   

• Both are non-ohmic conductors

   

• Curve B is ohmic and A is non-ohmic conductor

   

Q 26 :

Read the passage carefully and answer the following questions from (i) to (v)

The graph below is a V-I graph of a metallic circuit drawn at two different temperatures $T_1 and T_2$

(i) For the above graph choose the correct option depicting which of the two temperatures is higher with justification.

• $T_2>T_1$; Slope of V-I graph at $T_2$ is greater than slope at $T_1$.

   

• $T_1 >T_2$; resistance increases with increase in temperature.

   

• $T_2 >T_1$; resistance increases with decrease in temperature.

   

• $T_1>T_2$; Slope of V-I graph at $T_1$ is greater than slope at $T_2$.

   

Q 27 :

Read the passage carefully and answer the following questions from (i) to (v)

The graph below is a V-I graph of a metallic circuit drawn at two different temperatures 

(ii) For the above graph, at which temperature the resistance is higher?

• At $T_1$

   

• At $T_2$

   

• Resistance does not depend upon temperature

   

• None of these

   

Q 28 :

Read the passage carefully and answer the following questions from (i) to (v)

The graph below is a V-I graph of a metallic circuit drawn at two different temperatures 

(iii) Choose the correct set containing factors on which resistance depends?

• Length, Area of cross-section, Temperature, Nature of the material.

   

• Area of cross-section, Temperature, Nature of the material, Colour.

   

• Length, Area of cross-section, Temperature, Intermolecular attraction.

   

• Temperature, Nature of the material, Length, Physical state of material.

   

Q 29 :

Read the passage carefully and answer the following questions from (i) to (v)

The graph below is a V-I graph of a metallic circuit drawn at two different temperatures 

(iv) What is likely to happen if current in a wire is passed for a longer time than required?

• The wire may get burnt and may melt.

   

• Length of the wire may decrease resulting in lower resistance.

   

• Resistance of wire will drop as it will be very difficult to stop the electrons.

   

• Resistance of the wire will get increased due to joule’s heating effect.

   

Q 30 :

Read the passage carefully and answer the following questions from (i) to (v)

The graph below is a V-I graph of a metallic circuit drawn at two different temperatures 

(v) If the vertical and horizontal axes of a typical V-I straight line graph are reversed, which graph below is likely to represent the I-V graph? (I on vertical, V on horizontal for I-V graph).

• A

   

• B

   

• C

   

• D