Time Period of a Pendulum in Electric Field || JEE Main 2019 PYQ Explained

In this video, we explore and solve two very interesting problems from IIT JEE Main 2019 that perfectly blend the concepts of electrostatics and simple harmonic motion (SHM). These problems are crucial for students of class 12 preparing for IIT-JEE, NEET, and other engineering or medical entrance exams. These are previous years’ questions that test both conceptual clarity and analytical approach.

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The first question is from IIT JEE Main 2nd Shift 9th April 2019:
A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as shown in figure. Its bob has mass m and charge q. The time period of the pendulum is given by:

The second question is from IIT JEE Main 1st Shift 8th April 2019:
The bob of a simple pendulum has mass 2 g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of intensity 2000 V/m. At equilibrium, the angle that the pendulum makes with the vertical is:

Both of these questions demonstrate how the presence of a uniform electric field modifies the natural motion or equilibrium of a pendulum, introducing additional forces that affect either the time period or the equilibrium angle. These are classic examples of cross-topic problems often asked in IIT-JEE Advanced PYQ, IIT-JEE Main PYQ, and NEET PYQ, where the understanding of one chapter (like SHM or electrostatics) is integrated with another.

In the first problem, we derive the modified time period of a simple pendulum when it experiences a horizontal electric force in addition to the gravitational force. In the second question, we analyze the equilibrium condition of the charged pendulum bob when the electrostatic force creates a horizontal deflection.

These problems are perfect illustrations of how JEE Main asks application-based questions that go beyond formula memorization. The solutions in this video are explained step-by-step in Hindi, making it easier for class 12 students to connect theory with problem-solving. Such questions are often repeated with slight variations, so practicing and understanding their solutions can significantly improve your exam performance.

If you’re aiming to master physics for competitive exams, especially the IIT JEE Previous Years' Question Solutions, then this video is an essential resource. Make sure you understand the approach used in solving such problems, as it helps develop a problem-solving mindset that is critical for success in IIT-JEE Advanced, IIT-JEE Main, and NEET.

#pendulum #electricfield #electrostatics #simpleharmonicmotion