NEETPhysicsElectrostatics
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
- ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
- CAssertion (A) is true but Reason (R) is false
- 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