List of top Questions asked in OJEE- 2025

When a shaft is subjected to torsion, the shear stress induced in the shaft varies from ---- at the centre and ---- at the circumference.

As per Euler’s theory, the crippling load for a column of length \( l \) with one end fixed and the other end hinged having Young’s modulus \( E \) and moment of inertia \( I \) is

If a slider moves at a velocity \( v \) on a link rotating at speed \( \omega \,\text{rad/s} \), the Coriolis component of its acceleration is

If the rotating mass of a rim type flywheel is distributed on a second rim type flywheel whose mean radius is half the mean radius of the former, then the energy stored in the second flywheel at the same speed will be ------- times that of the first flywheel

The strain energy stored in a spring when it is subjected to maximum load without suffering permanent distortion is known as

The shear force at the fixed end of a cantilever beam of length \( l \) carrying a uniformly distributed load \( w \) per unit length is

Maximum height up to which a projectile can reach, if it is thrown upwards with initial speed \( u \) at an angle \( \theta \) with the ground surface, is

If \( \sigma_1 \) and \( \sigma_2 \) are two principal stresses, then the radius of Mohr’s circle is

The maximum bending moment of a simply supported beam of span \( l \) and carrying a point load \( W \) at the centre of the beam is

The maximum deflection of a fixed beam of length \( l \) carrying a total load \( W \) being uniformly distributed over the entire length is

For a 2-dimensional truss structure, if \( m \) is the number of members, \( j \) is the number of joints and \( r \) is the number of reactions, then the condition for instability of the structure is

If \( u_1 \) and \( u_2 \) are the velocities of two bodies moving in the same direction before impact and \( v_1 \) and \( v_2 \) are the velocities of the same two bodies after impact, then the coefficient of restitution is

If the tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is

If the resultant of two forces of equal magnitude has the same magnitude as either of the two forces, then the angle between the two forces is

For a 2-dimensional truss structure, if \( m \) is the number of members, \( j \) is the number of joints and \( r \) is the number of reactions, then the condition for instability of the structure is

Convolution of $x(t+5)$ with impulse function $\delta(t-7)$ is equal to

A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ is

The Fourier transform of a real-valued time signal has

The transfer function of a linear system is the

The final value theorem is used to find the

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

The power in the signal $s(t) = 8\cos(20\pi t - \pi/2) + 4\sin(15\pi t)$ is

Let $x(t)=\cos(10\pi t)+\cos(30\pi t)$ be sampled at $20$ Hz and reconstructed using an ideal low–pass filter with cut-off frequency of $20$ Hz. The frequency/frequencies present in the reconstructed signal is/are

If the unit step response of a network is $(1-e^{-at})$, the unit impulse response is

The impulse response of an LTI system can be obtained by