JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT

Find the modulation index of an AM wave having \(8 \mathrm{~V}\) variation where maximum amplitude of the AM wave is \(9 \mathrm{~V}\).

Which of the following compounds is an example of hypnotic drug?

Let \(\overrightarrow{\mathrm{a}}=3 \hat{i}+\hat{j}\) and \(\overrightarrow{\mathrm{b}}=\hat{i}+2 \hat{j}+\hat{k}\). Let \(\overrightarrow{\mathrm{c}}\) be a vector satisfying \(\overrightarrow{\mathrm{a}} \times(\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}})=\overrightarrow{\mathrm{b}}+\lambda \overrightarrow{\mathrm{c}}\). If \(\overrightarrow{\mathrm{b}}\) and \(\overrightarrow{\mathrm{c}}\) are non-parallel, then the value of \(\lambda\) is :

The pressure \(\mathrm{P}_{1}\) and density \(\mathrm{d}_{1}\) of diatomic gas \(\left(\gamma=\frac{7}{5}\right)\) changes suddenly to \(\mathrm{P}_{2}\left(>\mathrm{P}_{1}\right)\) and \(\mathrm{d}_{2}\) respectively during an adiabatic process. The temperature of the gas increases and becomes ________ times of its initial temperature. (given \(\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}=32\))

Lithium nitrate and sodium nitrate, when heated separately, respectively, give :

If the foot of the perpendicular from the point \(\mathrm{A}(-1,4,3)\) on the plane \(\mathrm{P}: 2 x+\mathrm{m} y+\mathrm{n} z=4\), is \(\left(-2, \frac{7}{2}, \frac{3}{2}\right)\), then the distance of the point A from the plane P, measured parallel to a line with direction ratios \(3,-1,-4\), is equal to :