href="https://exam.pscnotes.com/mcq/the-unit-impulse-response-of-a-linear-time-invariant-system-is-the-unit-step-function-ut-for-t-0-the-response-of-the-system-to-an-excitation-e-at-ut-a-0-will-be/#more-49709">Detailed SolutionThe unit impulse response of a linear time invariant system is the unit step function u(t). For t > 0, the response of the system to an excitation e-at u(t), a > 0 will be
1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low-pass filter with cutoff frequency 800 Hz. The output signal has the frequency
class="read-more button" href="https://exam.pscnotes.com/mcq/flat-top-sampling-of-low-pass-signals/#more-48698">Detailed SolutionFlat top sampling of low pass signals
href="https://exam.pscnotes.com/mcq/consider-the-differential-equation-dx-over-dt-10-0-2x-with-initial-conduction-x0-1-the-response-xt-for-t-0-is/#more-48164">Detailed SolutionConsider the differential equation $${{dx} \over {dt}} = 10 – 0.2x$$ with initial conduction x(0) = 1. The response x(t) for t > 0 is
the fundamental frequency in rad/s is" class="read-more button" href="https://exam.pscnotes.com/mcq/for-a-periodic-signal-vleft-t-right-30sin-100t-10cos-300t-6sin-left-500t-pi-over-4-right-the-fundamental-frequency-in-rad-s-is/#more-47963">Detailed SolutionFor a periodic signal $$v\left( t \right) = 30\sin 100t + 10\cos 300t + 6\sin \left( {500t + {\pi \over 4}} \right),$$ the fundamental frequency in rad/s is
g[n] is a causal sequence. If y[0] = 1 and y[1] = $$\frac{1}{2},$$ then g[1] equals" class="read-more button" href="https://exam.pscnotes.com/mcq/let-yn-denote-the-convolution-of-hn-and-gn-where-hn-left-frac12-rightn-un-and-gn-is-a-causal-sequence-if-y0-1-and-y1-frac12-then-g1-equals/#more-47823">Detailed SolutionLet y[n] denote the convolution of h[n] and g[n], where h[n] = $${\left( {\frac{1}{2}} \right)^n}$$ u[n] and g[n] is a causal sequence. If y[0] = 1 and y[1] = $$\frac{1}{2},$$ then g[1] equals
step sequence. The above system is" class="read-more button" href="https://exam.pscnotes.com/mcq/the-impulse-response-hn-of-a-linear-time-invariant-system-is-given-by-hn-un-3-un-2-2un-7-where-un-is-the-unit-step-sequence-the-above-system-is/#more-47800">Detailed SolutionThe impulse response h[n] of a linear time-invariant system is given by h[n] = u[n + 3] + u[n – 2] – 2u[n – 7], where u[n] is the unit step sequence. The above system is
frequency which is not valid is" class="read-more button" href="https://exam.pscnotes.com/mcq/a-band-limited-signal-with-a-maximum-frequency-of-5-khz-is-to-be-sampled-according-to-the-sampling-theorem-the-sampling-frequency-which-is-not-valid-is/#more-47793">Detailed SolutionA band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is