JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT

For an amplitude modulated wave the minimum amplitude is \(3 \mathrm{~V}\), while the modulation index is \(60 \%\). The maximum amplitude of the modulated wave is:

Given below are two statements:

Statement I: Morphine is a narcotic analgesic. It helps in relieving pain without producing sleep.

Statement II: Morphine and its derivatives are obtained from opium poppy.

In the light of the above statements, choose the correct answer from the options given below

If \(\operatorname{gcd}~(\mathrm{m}, \mathrm{n})=1\) and \(1^{2}-2^{2}+3^{2}-4^{2}+\ldots . .+(2021)^{2}-(2022)^{2}+(2023)^{2}=1012 ~m^{2} n\) then \(m^{2}-n^{2}\) is equal to :

A 2 meter long scale with least count of \(0.2 \mathrm{~cm}\) is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at \(80 \mathrm{~cm}\) mark and \(1 \mathrm{~m}\) mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at \(180 \mathrm{~cm}\) mark. The \(\%\) error in the estimation of focal length is:

The product, which is not obtained during the electrolysis of brine solution is :

Let the vectors \(\vec{a}, \vec{b}, \vec{c}\) represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by \(\vec{a}, \vec{b}+\vec{c}\) and \(\vec{a}+2 \vec{b}+3 \vec{c}\) is equal to :