An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

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When an electric dipole of dipole moment vector p is placed in a uniform electric field vector E, it experiences a torque given by the formula:

τ = p × E

where τ is the torque vector, p is the dipole moment vector, and E is the electric field vector.

The magnitude of the torque is given by:

|τ| = p E sin θ

where θ is the angle between the dipole moment vector and the electric field vector.

The maximum torque occurs when the dipole moment vector is perpendicular to the electric field vector, i.e., when θ = 90 degrees. In this case, sin θ = 1, and the magnitude of the torque is:

|τ|max = p E

Therefore, the maximum torque experienced by the dipole is equal to the product of the dipole moment and the electric field strength.

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An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

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In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

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The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

5.
The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

6.
The electric potential (V ) and electric field (⃗ E) are closely related concepts in electrostatics. The electric field is a vector quantity that represents the

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dOGVmW

An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

CBSE CLASS XII Related Questions

1.In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

2.The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

5.The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

6.The electric potential (V ) and electric field (⃗ E) are closely related concepts in electrostatics. The electric field is a vector quantity that represents the

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Comments

dOGVmW

1.
In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

2.
The magnetic field in a plane electromagnetic wave travelling in glass (\( n = 1.5 \)) is given by \[ B_y = (2 \times 10^{-7} \text{ T}) \sin(\alpha x + 1.5 \times 10^{11} t) \] where \( x \) is in metres and \( t \) is in seconds. The value of \( \alpha \) is:

5.
The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

6.
The electric potential (V ) and electric field (⃗ E) are closely related concepts in electrostatics. The electric field is a vector quantity that represents the