TS EAMCET · Physics · Communication System
An amplitude modulated signal consists of a message signal of frequency \(1 \mathrm{KHz}\) and peak voltage of \(5 \mathrm{~V}\), modulating a carrier frequency of \(1 \mathrm{MHz}\) and peak voltage of \(15 \mathrm{~V}\). The correct description of this signal is
- A \(5\left[1+3 \sin \left(2 \pi 10^6 t\right)\right] \sin \left(2 \pi 10^3 t\right)\)
- B \(15\left[1+\frac{1}{3} \sin \left(2 \pi 10^3 t\right)\right] \sin \left(2 \pi 10^6 t\right)\)
- C \(\left[5+15 \sin \left(2 \pi 10^3 t\right)\right] \sin \left(2 \pi \cdot 10^6 t\right)\)
- D \(\left[15+5 \sin \left(2 \pi 10^6 t\right)\right] \sin \left(2 \pi 10^3 t\right)\)
Answer & Solution
Correct Answer
(B) \(15\left[1+\frac{1}{3} \sin \left(2 \pi 10^3 t\right)\right] \sin \left(2 \pi 10^6 t\right)\)
Step-by-step Solution
Detailed explanation
Given, Frequency of message signal \(\left(f_m\right)=1 \mathrm{KHz}\) \(=1 \times 10^3 \mathrm{~Hz}\) Peak voltage of message signal \(\left(E_m\right)=5 \mathrm{~V}\) Carrier frequency \(\left\langle f_c\right\rangle=1 \mathrm{MHz}=1 \times 10^6 \mathrm{~Hz}\) Peak voltage of…
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
- The position vector of a particle moving in a plane is given by \(\mathbf{r}=a \cos \omega t \hat{\mathbf{i}}+b \sin \omega t \hat{\mathbf{j}}\), where \(\hat{\mathbf{i}}\) and \(\hat{\mathbf{j}}\) are the unit vectors along the rectangular axes \(X\) and \(Y ; a, b\) and \(\omega\) are constants and \(t\) is time. The acceleration of the particle is directed along the vectorTS EAMCET 2018 Easy
- A copper ball of radius \(3.0 \mathrm{~mm}\) falls in an oil tank of viscosity \(1 \mathrm{~kg} / \mathrm{ms}\). Then, the terminal velocity of the copper ball will be (Density of oil \(=1.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\), Density of copper \(=9 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\) and \(g=10 \mathrm{~m} / \mathrm{s}^2\).)TS EAMCET 2019 Easy
- The inductance L, Capacitance C and resistance R are the values of the components connected in series to an ac source of angular frequency \(\omega\). The inductive and capacitive reactances are \(X_L\) and \(X_C\) respectively. If the circuit is purely resistive, thenTS EAMCET 2025 Easy
- Identify the incorrect statement from the following.TS EAMCET 2019 Easy
- A boy standing on a moving truck throws a projectile such that he is able to catch it back after the truck has moved \(100 \mathrm{~m}\). If the truck is moving horizontally along a straight line with a constant speed \(30 \mathrm{~m} / \mathrm{s}\), at what speed (relative to the truck) must the projectile is thrown. (Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2019 Medium
- A ball is dropped from rest at time \(t=0\) from certain height. A second ball is dropped from same height at time \(t=1 \mathrm{~s}\). At what time \(t\), the distance between two balls becomes \(10 \mathrm{~m}\) ?TS EAMCET 2021 Easy
More PYQs from TS EAMCET
- A generator produces a current of \(100 \mathrm{~A}\) at \(4000 \mathrm{~V}\). The voltage is stepped up to \(2 \times 10^5 \mathrm{~V}\) by a transformer before being sent on a high voltage transmission line of resistance \(50 \Omega\). The percentage of power loss in the transmission line isTS EAMCET 2022 Easy
- A transmitting and receiving antenna have height of \(d\) metres each. The maximum distance between them for satisfactory communication in Line-of-Sight mode (LOS) is \(2 d\) kilometers. If the radius of earth is \(6400 \mathrm{~km}\), then the value of \(d\) isTS EAMCET 2018 Medium
- A stiff spring having spring constant \(k=400 \mathrm{~N} / \mathrm{m}\) is attached to the floor vertically. A mass \(m=10 \mathrm{~kg}\) is placed on top of the spring. The block oscillates if it is pressed downward and released. Find the extension in the spring at which the block loses contact with spring. (Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2020 Medium - A bus moving on a level road with a velocity \(v\) can be stopped at a distance of \(x\), by the application of a retarding force \(F\). The load on the bus is increased by \(25 \%\) by boarding the passengers. Now, if the bus is moving with the same speed and if the same retarding force is applied, the distance travelled by the bus before it stops isTS EAMCET 2014 Hard
- A child is on a merry-go-round, standing at a distance \(2 \mathrm{~m}\) from the centre. The coefficient of static friction between the child and the surface of merry-go-round is 0.8 . At what maximum angular velocity can the merry-go-round be rotated before the child slips? (Talse, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2018 Medium
- About \(20 \%\) of the power of a \(100 \mathrm{~W}\) bulb is converted to visible radiation. Assuming that the radiations is emitted isotropically and neglecting reflection, the average intensity of visible radiation at a distance of \(5 \mathrm{~m}\) is \(\frac{\alpha}{25 \pi} \mathrm{W} / \mathrm{m}^2\). The value of \(\alpha\) isTS EAMCET 2022 Easy