Electric Charges
PHXII01:ELECTRIC CHARGES AND FIELDS

358350 Two infinitely long parallel wires having linear charge densities \({\lambda _1}\;{\rm{and}}\;{\lambda _2}\) respectively are placed at a distance of \(R\) metres. The force per unit length on either wire will be \(\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)\)

1 \(\frac{{{\lambda _1}{\lambda _2}\;}}{R}\)
2 \(k\frac{{2{\lambda _1}{\lambda _2}\;}}{R}\)
3 \(k\frac{{2{\lambda _1}{\lambda _2}}}{R}\)
4 \(k\frac{{{\lambda _1}{\lambda _2}\;}}{{{R^2}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358351 Assertion :
In a cavity within a conductor, the electric field is zero.
Reason :
Charges in a conductor reside only at its surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358352 Assertion :
Vehicle carrying highly inflammable materials have hanging chains, slightly touching the ground.
Reason :
The body of a vehicle gets charged when moving through air at high speed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358353 Electric field in a certain region is given by \(\vec{E}=\left(\dfrac{A}{x^{2}} \hat{i}+\dfrac{B}{y^{3}} \hat{j}\right)\). The SI unit of \(A\) and \(B\) are

1 \(N{m^2}{C^{ - 1}};N{m^3}{C^{ - 1}}\)
2 \(N{m^3}C;N{m^2}C\)
3 \(N{m^2}C;N{m^3}C\)
4 \(N{m^3}{C^{ - 1}};N{m^2}{C^{ - 1}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358354 The vehicles carrying inflammable fluids usually have metallic chains touching the ground,

1 to alert other vehicles
2 it is a custom
3 to protect tyres from catching dirt from ground
4 to conduct excess charge due to air friction to ground and prevent sparking.
PHXII01:ELECTRIC CHARGES AND FIELDS

358350 Two infinitely long parallel wires having linear charge densities \({\lambda _1}\;{\rm{and}}\;{\lambda _2}\) respectively are placed at a distance of \(R\) metres. The force per unit length on either wire will be \(\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)\)

1 \(\frac{{{\lambda _1}{\lambda _2}\;}}{R}\)
2 \(k\frac{{2{\lambda _1}{\lambda _2}\;}}{R}\)
3 \(k\frac{{2{\lambda _1}{\lambda _2}}}{R}\)
4 \(k\frac{{{\lambda _1}{\lambda _2}\;}}{{{R^2}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358351 Assertion :
In a cavity within a conductor, the electric field is zero.
Reason :
Charges in a conductor reside only at its surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358352 Assertion :
Vehicle carrying highly inflammable materials have hanging chains, slightly touching the ground.
Reason :
The body of a vehicle gets charged when moving through air at high speed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358353 Electric field in a certain region is given by \(\vec{E}=\left(\dfrac{A}{x^{2}} \hat{i}+\dfrac{B}{y^{3}} \hat{j}\right)\). The SI unit of \(A\) and \(B\) are

1 \(N{m^2}{C^{ - 1}};N{m^3}{C^{ - 1}}\)
2 \(N{m^3}C;N{m^2}C\)
3 \(N{m^2}C;N{m^3}C\)
4 \(N{m^3}{C^{ - 1}};N{m^2}{C^{ - 1}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358354 The vehicles carrying inflammable fluids usually have metallic chains touching the ground,

1 to alert other vehicles
2 it is a custom
3 to protect tyres from catching dirt from ground
4 to conduct excess charge due to air friction to ground and prevent sparking.
PHXII01:ELECTRIC CHARGES AND FIELDS

358350 Two infinitely long parallel wires having linear charge densities \({\lambda _1}\;{\rm{and}}\;{\lambda _2}\) respectively are placed at a distance of \(R\) metres. The force per unit length on either wire will be \(\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)\)

1 \(\frac{{{\lambda _1}{\lambda _2}\;}}{R}\)
2 \(k\frac{{2{\lambda _1}{\lambda _2}\;}}{R}\)
3 \(k\frac{{2{\lambda _1}{\lambda _2}}}{R}\)
4 \(k\frac{{{\lambda _1}{\lambda _2}\;}}{{{R^2}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358351 Assertion :
In a cavity within a conductor, the electric field is zero.
Reason :
Charges in a conductor reside only at its surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358352 Assertion :
Vehicle carrying highly inflammable materials have hanging chains, slightly touching the ground.
Reason :
The body of a vehicle gets charged when moving through air at high speed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358353 Electric field in a certain region is given by \(\vec{E}=\left(\dfrac{A}{x^{2}} \hat{i}+\dfrac{B}{y^{3}} \hat{j}\right)\). The SI unit of \(A\) and \(B\) are

1 \(N{m^2}{C^{ - 1}};N{m^3}{C^{ - 1}}\)
2 \(N{m^3}C;N{m^2}C\)
3 \(N{m^2}C;N{m^3}C\)
4 \(N{m^3}{C^{ - 1}};N{m^2}{C^{ - 1}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358354 The vehicles carrying inflammable fluids usually have metallic chains touching the ground,

1 to alert other vehicles
2 it is a custom
3 to protect tyres from catching dirt from ground
4 to conduct excess charge due to air friction to ground and prevent sparking.
PHXII01:ELECTRIC CHARGES AND FIELDS

358350 Two infinitely long parallel wires having linear charge densities \({\lambda _1}\;{\rm{and}}\;{\lambda _2}\) respectively are placed at a distance of \(R\) metres. The force per unit length on either wire will be \(\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)\)

1 \(\frac{{{\lambda _1}{\lambda _2}\;}}{R}\)
2 \(k\frac{{2{\lambda _1}{\lambda _2}\;}}{R}\)
3 \(k\frac{{2{\lambda _1}{\lambda _2}}}{R}\)
4 \(k\frac{{{\lambda _1}{\lambda _2}\;}}{{{R^2}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358351 Assertion :
In a cavity within a conductor, the electric field is zero.
Reason :
Charges in a conductor reside only at its surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358352 Assertion :
Vehicle carrying highly inflammable materials have hanging chains, slightly touching the ground.
Reason :
The body of a vehicle gets charged when moving through air at high speed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358353 Electric field in a certain region is given by \(\vec{E}=\left(\dfrac{A}{x^{2}} \hat{i}+\dfrac{B}{y^{3}} \hat{j}\right)\). The SI unit of \(A\) and \(B\) are

1 \(N{m^2}{C^{ - 1}};N{m^3}{C^{ - 1}}\)
2 \(N{m^3}C;N{m^2}C\)
3 \(N{m^2}C;N{m^3}C\)
4 \(N{m^3}{C^{ - 1}};N{m^2}{C^{ - 1}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358354 The vehicles carrying inflammable fluids usually have metallic chains touching the ground,

1 to alert other vehicles
2 it is a custom
3 to protect tyres from catching dirt from ground
4 to conduct excess charge due to air friction to ground and prevent sparking.
PHXII01:ELECTRIC CHARGES AND FIELDS

358350 Two infinitely long parallel wires having linear charge densities \({\lambda _1}\;{\rm{and}}\;{\lambda _2}\) respectively are placed at a distance of \(R\) metres. The force per unit length on either wire will be \(\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)\)

1 \(\frac{{{\lambda _1}{\lambda _2}\;}}{R}\)
2 \(k\frac{{2{\lambda _1}{\lambda _2}\;}}{R}\)
3 \(k\frac{{2{\lambda _1}{\lambda _2}}}{R}\)
4 \(k\frac{{{\lambda _1}{\lambda _2}\;}}{{{R^2}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358351 Assertion :
In a cavity within a conductor, the electric field is zero.
Reason :
Charges in a conductor reside only at its surface.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358352 Assertion :
Vehicle carrying highly inflammable materials have hanging chains, slightly touching the ground.
Reason :
The body of a vehicle gets charged when moving through air at high speed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358353 Electric field in a certain region is given by \(\vec{E}=\left(\dfrac{A}{x^{2}} \hat{i}+\dfrac{B}{y^{3}} \hat{j}\right)\). The SI unit of \(A\) and \(B\) are

1 \(N{m^2}{C^{ - 1}};N{m^3}{C^{ - 1}}\)
2 \(N{m^3}C;N{m^2}C\)
3 \(N{m^2}C;N{m^3}C\)
4 \(N{m^3}{C^{ - 1}};N{m^2}{C^{ - 1}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358354 The vehicles carrying inflammable fluids usually have metallic chains touching the ground,

1 to alert other vehicles
2 it is a custom
3 to protect tyres from catching dirt from ground
4 to conduct excess charge due to air friction to ground and prevent sparking.