TS EAMCET · Physics · Communication System
A message signal is super-imposed with a carrier signal. The resulting modulating signal \(C_m(t)\) is given by \(C_m(t)=A_1 \sin \left(\omega_1 t\right)+A_2 \sin \left(\omega_2 t\right)-A_2 \sin \left(\omega_3 t\right) \text {, }\) where \(\omega_2 < \omega_1 < \omega_3\). The modulation index and the angular frequency fo the message signal respectively, are
- A \(\frac{A_2}{A_1}, \frac{\omega_3-\omega_2}{2}\)
- B \(\frac{2 A_2}{A_1}, \omega_3-\omega_2\)
- C \(\frac{A_1}{2 A_2}, \frac{\omega_3-\omega_2}{2}\)
- D \(\frac{2 A_2}{A_1}, \frac{\omega_3-\omega_2}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{2 A_2}{A_1}, \frac{\omega_3-\omega_2}{2}\)
Step-by-step Solution
Detailed explanation
Modulating signal is given as \(C_m(t)=A_1 \sin \left(\omega_1 t\right)+A_2 \sin \left(\omega_2 t\right)-A_3 \sin \left(\omega_3 t\right)\) \(\ldots(\mathrm{i})\) where, \(\quad \omega_1>\omega_2\) and \(\omega_3>\omega_1\) Standard equation of modulating signal is given as…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A straight rod of length \(L\) is made of a material having mass per unit length \(m(x)=\lambda|x|\), where \(x\) is measured from the centre of rod. The moment of inertia about an axis perpendicular to the rod and passing through one end of the rod will be \(L=1 \mathrm{~m}\) and \(\lambda=16 \mathrm{~kg} / \mathrm{m}^2\).TS EAMCET 2020 Medium
- One end of a string is tied to the ceiling of a lift and a load is attached ai the bottom end of the string. When the lift is moving upwards with an acceleration of \(2.1 \mathrm{~ms}^{-2}\), the speed of the transverse wave at the lower end of the string is \(88 \mathrm{~ms}^{-1}\). If the lift moves downwards with an acceleration of \(1.9 \mathrm{~ms}^{-2}\), the speed of the transverse wave at the lower end of the string is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2023 Medium
- Two short bar magnets have their magnetic moments \(1.2 \mathrm{Am}^2\) and \(1.0 \mathrm{Am}^2\). They are placed on a horizontal table parallel to each other at a distance of \(20 \mathrm{~cm}\) between their centres, such that their north poles pointing towards geographic south. They have common magnetic equatorial line. Horizontal component of earth's field is \(3.6 \times 10^{-5} \mathrm{~T}\). Then, the resultant horizontal magnetic induction at mid point of the line joining their centers is \(\left(\frac{\mu_0}{4 \pi}=10^{-7} \mathrm{~N} / \mathrm{m}\right)\)TS EAMCET 2013 Hard
- A ball is thrown at a speed of \(20 \mathrm{~m} / \mathrm{s}\) at an angle of \(30^{\circ}\) with the horizontal. The maximum height reached by the ball is (Use \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2017 Easy
- When a metal road of length \(l\) is placed in a magnetic field \(B\) and moved with velocity \(v\) perpendicular to the field, then the induced emf across its ends isTS EAMCET 2021 Easy
- The force ( F in newton) acting on a particle of mass 90 g executing simple harmonic motion is given by \(\mathrm{F}+0.04 \pi^2 y=0\), where \(y\) is displacement of the particle in meter. If the amplitude of the particle is \(\frac{6}{\pi} \mathrm{~m}\), then the maximum velocity of the particle isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The potential difference between the terminals of a cell is 20 V when a current of 2 A flows through the circuit. When the direction of current in the circuit is reversed, the potential difference between the terminals of the cell is 30 V. The internal resistance of the cell isTS EAMCET 2025 Medium
- The following figure shows a battery and uncharged capacitors of capacitances . The switch is thrown to the right side until capacitor is fully charged, then the switch is thrown to the left. The final charge on capacitor is
TS EAMCET 2022 Easy - If the vertical component of earth's magnetic field is \(0.5 \times\) \(10^{-4} \mathrm{~T}\) at a point. When an aeroplane of wing span \(4 \mathrm{~m}\) is moving horizontally at this place at \(360 \mathrm{kmh}^{-1}\), then the motional emf formed across the ends of the wings isTS EAMCET 2023 Hard
- The dimensional formula of \(\frac{1}{2} \mu_0 H^2\) ( \(\mu=\) permeability of free space and \(H=\) magnetic field intensity) isTS EAMCET 2011 Easy
- A solid spherical ball is rolled up an inclined plane of angle of inclination \(30^{\circ}\) with an initial speed of \(4 \mathrm{~m} / \mathrm{s}\) at the bottom of the inclination. How far will the ball go up the plane. \(\left(\right.\) Use \(\left.g=10 \mathrm{~m} / \mathrm{s}^2\right)\)TS EAMCET 2022 Easy
- An object \(O\) is placed at \(7 \mathrm{~cm}\) to the left of a concave mirror of radius of curvature \(12 \mathrm{~cm}\) as shown in the figure. The position of the image will be at a distance of
TS EAMCET 2019 Easy