List of top Questions asked in OJEE- 2025

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

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 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

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 \( u_1 \) 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

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

The transfer function of a linear system is the

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 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?

For a periodic signal $v(t) = 30\sin(100t) + 10\cos(300t) + 6\sin(500t + \pi/4)$, the fundamental frequency in rad/s is

A signal $f(t)$ has energy $E$, the energy of the signal $f(2t)$ is equal to

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

The impulse response of an LTI system can be obtained by

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 nodal method of circuit analysis is based on

A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is

Consider a DC voltage source connected to a series R–C circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to

A series LCR circuit consisting of $R = 10\Omega$, $|X_L| = 20\Omega$ and $|X_C| = 20\Omega$, is connected across an a.c. supply of $200\,\text{V}_{\text{rms}}$. The rms voltage across the capacitor is}

Consider the signal $x(t) = \cos(6\pi t) + \sin(8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is

A modulated signal is $y(t) = m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ kHz only. The minimum required rate (in kHz) at which $y(t)$ should be sampled to recover $m(t)$ is

A load that has a resistance of 10 ohms is to be connected to a supply that has a constant voltage of 120 volts. If it is desired that the current to the load be varied from 3 to 5 amperes, what are the resistance and the current rating of the series rheostat that permit this variation?

If $\mathcal{L}\{f(t)\} = F(s)$, then $\mathcal{L}\{f(t - T)\}$ is equal to,