JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
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A modulating signal is a square wave, as shown in the figure.

If the carrier wave is given as \(\mathrm{c(t) = 2\sin(8\pi t)}\) volts, the modulation index is :
Match List I with List II
| List-I |
List-II |
||
|---|---|---|---|
| A. | Reverberatory furnace | I. | Pig Iron |
| B. | Electrolytic cell | II. | Aluminium |
| C. | Blast furnace | III. | Silicon |
| D. | Zone Refining furnace | IV. | Copper |
Choose the correct answer from the options given below :
The value of \(\sum\limits_{r = 0}^{22} {{}^{22}{C_r}{}^{23}{C_r}}\) is
Consider the following radioactive decay process
$$_{84}^{218}A\buildrel \alpha \over \[\longrightarrow {A_1}\buildrel {{\beta ^ - }} \over\] \[\longrightarrow {A_2}\buildrel \gamma \over\] \[\longrightarrow {A_3}\buildrel \alpha \over\] \[\longrightarrow {A_4}\buildrel {{\beta ^ + }} \over\] \[\longrightarrow {A_5}\buildrel \gamma \over\] \longrightarrow {A_6}$$
The mass number and the atomic number of A\(_6\) are given by :
Match List I with List II
| List-I |
List-II |
||
|---|---|---|---|
| A. | Chlorophyll | I. | $$\mathrm{Na_2CO_3}$$ |
| B. | Soda ash | II. | $$\mathrm{CaSO_4}$$ |
| C. | Dentistry, Ornamental work | III. | $$\mathrm{Mg^{2+}}$$ |
| D. | Used in white washing | IV. | $$\mathrm{Ca(OH)_2}$$ |
Choose the correct answer from the options given below :
The distance of the point (7, \(-\)3, \(-\)4) from the plane passing through the points (2, \(-\)3, 1), (\(-\)1, 1, \(-\)2) and (3, \(-\)4, 2) is :