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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The torque on an electric dipole of charge q and length 2l placed at an angle of 30^ to a uniform electric field E has a magnitude of qlE . Reason (R): The magnitude of the dipole moment is p = q l and the torque is given by = pE . In the light of the above statements, choose the most appropriate a

Options

  1. ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  2. BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
  3. CAssertion (A) is true but Reason (R) is false
  4. DAssertion (A) is false but Reason (R) is true

Correct answer

C. Assertion (A) is true but Reason (R) is false

Step-by-step solution

Let us evaluate the Reason (R): The magnitude of an electric dipole moment is defined as the product of the magnitude of one of the charges and the total distance between them. For a dipole of length 2l , the dipole moment is p = q 2l . The formula for torque is indeed = pE . Since the expression for the dipole moment is given incorrectly as p = q l , Reason (R) is false. Let us evaluate the Assertion (A): Using the correct formula for dipole moment p = q(2l) , the torque on the dipole placed at = 30^ is: = pE = (q

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