1
JEE Main 2022 (Online) 29th July Evening Shift
Numerical
+4
-1 A modulating signal $$2 \sin \left(6.28 \times 10^{6}\right) t$$ is added to the carrier signal $$4 \sin \left(12.56 \times 10^{9}\right) t$$ for amplitude modulation. The combined signal is passed through a non-linear square law device. The output is then passed through a band pass filter. The bandwidth of the output signal of band pass filter will be _________ $$\mathrm{MHz}$$.

2
JEE Main 2022 (Online) 25th July Morning Shift
Numerical
+4
-1 The required height of a TV tower which can cover the population of $$6.03$$ lakh is $$h$$. If the average population density is 100 per square $$\mathrm{km}$$ and the radius of earth is $$6400 \mathrm{~km}$$, then the value of $$h$$ will be _____________ $$m$$.

3
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1 The height of a transmitting antenna at the top of a tower is 25 m and that of receiving antenna is, 49 m. The maximum distance between them, for satisfactory communication in LOS (Line-Of-Sight) is K$$\sqrt5$$ $$\times$$ 102 m. The value of K is ___________.

(Assume radius of Earth is 64 $$\times$$ 10+5 m) [Calculate upto nearest integer value]

4
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1 An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm, it can radiate a signal of minimum frequency of __________ GHz.

(Given $$\mu$$r = 1 for dielectric medium)

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