Previous year questions with solutions · 2000 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 5 | 2 | 2.5 | 5.56% ▲ 25% vs last year |
| 2025 | 2 | 1 | 2 | 4.44% ▲ 11.1% vs last year |
| 2024 | 4 | 2 | 2 | 4.00% ▲ 100% vs last year |
| 2023 | 1 | 1 | 1 | 2.00% ▼ 50% vs last year |
| 2022 | 4 | 2 | 2 | 4.00% same as last year |
| 2021 | 2 | 1 | 2 | 4.00% ▲ 80% vs last year |
| 2020 | 1 | 1 | 1 | 2.22% ▼ 66.7% vs last year |
| 2019 | 3 | 1 | 3 | 6.67% ▲ 200% vs last year |
| 2018 | 1 | 1 | 1 | 2.22% ▼ 50% vs last year |
| 2017 | 2 | 1 | 2 | 4.44% ▲ 300% vs last year |
| 2016 | 1 | 2 | 0.5 | 1.11% ▼ 66.7% vs last year |
| 2015 | 3 | 2 | 1.5 | 3.33% ▲ 50% vs last year |
| 2014 | 1 | 1 | 1 | 2.22% ▲ 100% vs last year |
| 2013 | 1 | 2 | 0.5 | 1.11% ▼ 70.7% vs last year |
| 2011 | 3 | 2 | 1.5 | 3.80% ▲ 53.8% vs last year |
| 2010 | 2 | 2 | 1 | 2.47% ▼ 39.5% vs last year |
| 2009 | 2 | 1 | 2 | 4.08% ▼ 4.1% vs last year |
| 2008 | 2 | 1 | 2 | 4.26% ▼ 50% vs last year |
| 2007 | 4 | 1 | 4 | 8.51% ▲ 325.5% vs last year |
| 2006 | 1 | 1 | 1 | 2.00% ▼ 6% vs last year |
| 2005 | 1 | 1 | 1 | 2.13% ▼ 51.1% vs last year |
| 2004 | 2 | 1 | 2 | 4.35% ▼ 54.8% vs last year |
| 2003 | 5 | 1 | 5 | 9.62% ▲ 50.6% vs last year |
| 2002 | 3 | 1 | 3 | 6.38% ▲ 212.8% vs last year |
| 2001 | 1 | 1 | 1 | 2.04% ▼ 69.4% vs last year |
| 2000 | 3 | 1 | 3 | 6.67% |
The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t = 2 s is : [figure]
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is :
Average velocity of a particle executing SHM in one complete vibration is :
A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m s-2 at a distance of 5 m from the mean position. The time period of oscillation is
A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in second is
A particle is executing a simple harmonic motion. Its maximum acceleration is and maximum velocity is . Then, its time period of vibration will be
A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2 respectively. Its time period is
The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A ( t) where X = displacement at time t = frequency of oscillation Which one of the following graphs shows correctly the variation of a with t? Here a = acceleration at time t T = time period
A particle of mass m oscillates along x-axis according to equation x = a t. The nature of the graph between momentum and displacement of the particle is
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be
Two simple harmonic motions of angular frequency 100 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum acceleration is
A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a ( t + /6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is
Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?