Previous year questions with solutions · 2000 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 4 | 2 | 2 | 4.44% ▼ 33.3% vs last year |
| 2025 | 3 | 1 | 3 | 6.67% ▲ 122.2% vs last year |
| 2024 | 3 | 2 | 1.5 | 3.00% ▼ 25% vs last year |
| 2023 | 2 | 1 | 2 | 4.00% ▼ 20% vs last year |
| 2022 | 5 | 2 | 2.5 | 5.00% ▲ 25% vs last year |
| 2021 | 2 | 1 | 2 | 4.00% ▼ 10% vs last year |
| 2020 | 2 | 1 | 2 | 4.44% same as last year |
| 2019 | 2 | 1 | 2 | 4.44% ▼ 50% vs last year |
| 2018 | 4 | 1 | 4 | 8.89% ▲ 33.3% vs last year |
| 2017 | 3 | 1 | 3 | 6.67% same as last year |
| 2016 | 6 | 2 | 3 | 6.67% same as last year |
| 2015 | 6 | 2 | 3 | 6.67% ▲ 50% vs last year |
| 2014 | 2 | 1 | 2 | 4.44% same as last year |
| 2013 | 4 | 2 | 2 | 4.44% ▼ 49.2% vs last year |
| 2012 | 7 | 2 | 3.5 | 8.75% ▲ 130.4% vs last year |
| 2011 | 3 | 2 | 1.5 | 3.80% ▼ 48.7% vs last year |
| 2010 | 6 | 2 | 3 | 7.41% ▼ 9.3% vs last year |
| 2009 | 4 | 1 | 4 | 8.16% ▲ 91.8% vs last year |
| 2008 | 2 | 1 | 2 | 4.26% ▼ 33.3% vs last year |
| 2007 | 3 | 1 | 3 | 6.38% ▲ 59.6% vs last year |
| 2006 | 2 | 1 | 2 | 4.00% ▼ 37.3% vs last year |
| 2005 | 3 | 1 | 3 | 6.38% ▼ 41.3% vs last year |
| 2004 | 5 | 1 | 5 | 10.87% ▲ 88.4% vs last year |
| 2003 | 3 | 1 | 3 | 5.77% ▼ 45.8% vs last year |
| 2002 | 5 | 1 | 5 | 10.64% ▲ 421.3% vs last year |
| 2001 | 1 | 1 | 1 | 2.04% ▼ 54.1% vs last year |
| 2000 | 2 | 1 | 2 | 4.44% |
A thin wire of length 'L' and linear mass density 'm' is bent into a circular ring (in x-y plane) with centre 'C' as shown in figure. The moment of inertia of the ring about an axis yy' will be: [figure]
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is: [figure]
The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g cm2. The length of the 400 g rod is nearly:
The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :-
The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is
From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90 sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the center of the ring and perpendicular to the plane of the ring is 'K' times 'MR2'. Then the value of 'K' is :
Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation
A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is
Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity 0 is minimum, is given by [figure]
The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are
From a circular disc of radius R and mass 9M, a small disc of mass M and radius R3 is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is
Which one of the following pairs of statements is correct ?
A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90 . The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be [figure]
A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrical axis. It is possible with
For the adjoining diagram (a uniform right-angled triangular plate ABC), the correct relation between I1, I2 and I3 is (I – moment of inertia about the marked side) [figure]