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:

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.

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:

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., $R\propto 1/r^2$

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:

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:

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:

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.

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:

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: