Student Login

Home›Chapters›Oscillations PYQs›Simple Pendulum›Question 6

JEE Main 2026 (22 Jan, Shift 2) · Simple Pendulum

Simple Pendulum question from JEE Main 2026 (22 Jan, Shift 2)

Q6JEE Main 2026 · 22 JAN · SHIFT 2Easy

Simple Pendulum

Using a simple pendulum experiment $g$ is determind by measuring its time period $T$ . Which of the following plots represent the correct relation between the pendulum length $L$ and time period $T$ ?

Show answer and solution

Answer: (a)

$T = 2\pi\sqrt{\frac{L}{g}} \Rightarrow \frac{1}{T^2} = \frac{g}{4\pi^2}\cdot\frac{1}{L}$
So $\frac{1}{T^2} \propto \frac{1}{L}$ : a rectangular hyperbola, falling steeply and flattening out as $L$ grows.
So the answer is (a).

Report a mistake

More questions on Simple Pendulum

The time period of a simple pendulum inside a stationary lift is √(5) s. The time period…MHT CET 2026 (13 May, Shift 2)
Two simple pendulums having lengths ₁ and ₂ with negligible string mass undergo angular…MHT CET 2026 (15 May, Shift 2)
A simple pendulum of length l₁ has periodic time 2.4 s. Another simple pendulum of length…MHT CET 2026 (20 Apr, Shift 1)
Two simple pendulums of lengths L₁ and L₂ have periodic time T₁ and T₂ respectively (T₁ >…MHT CET 2026 (17 Apr, Shift 1)
Two oscillating simple pendulums with time periods T and 4T/3 are in phase at a given…MHT CET 2026 (20 Apr, Shift 1)
Two simple pendulums, A of mass M₁ and length L₁, and B of mass M₂ and length L₂. M₁ = M₂…MHT CET 2026 (15 May, Shift 1)
The path length of oscillation of simple pendulum of 1 m is 8 cm. Its maximum velocity is…MHT CET 2026 (14 May, Shift 1)
If length of oscillating simple pendulum is made (1/3) times at a place keeping amplitude…MHT CET 2026 (12 May, Shift 2)