GATE 2022 Toppers Weekly Quiz 6

The correct output (V₀) wave-shape for a given input (V_i) in the clamping network given below is,

The general solution of the differential equation:

e^x tan ydx + (1 – e^x)sec²ydy = 0 is

For the transfer function . The asymptotic Bode plot is shown below as

The steady state error (in dB) in the diagram at ω = 5b is

A double conversion superheterodyne receiver is designed with f_IF(1)= 30 MHz and f_IF(2) = 3MHz. Local oscillator frequency of each mixer stage is set at the lower of the two possible values. When the receiver is tuned to a carrier frequency of 300 MHz, insufficient filtering by the RF and first IF stages results in interference from three image frequencies. Those three image frequencies are

Consider a transistor circuit shown in figure.

If Q₁ and Q₂ are identical transistor and V_BE = 0.7V, so value of R₂ is ____ kΩ. Assume (V_T = 25 mV) (Answer should be correct up to two decimal place)

If the numerator of a fraction is decreased by 33.33% and the denominator of the fraction is increased more by 300% then the resultant fraction is . Find the original fraction.

For a successive approximation type of ADC shown.

If V_a = 8V and resolution of D/A = 0.25 volt

Then the error voltage between V_a and SAR output at 5^th clock is_______volt?

221 litres of a mixture contains milk and water in the ratio 11:2. How much water is to be added to get a new mixture containing milk and water in the ratio 11:3 ?

Let for some a, b ∈ R. Suppose that 1 and 2 are eigen values of A and