JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT

Match List - I with List - II :

Choose the most appropriate answer from the options given below :

A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal?

Let S = {\(\sqrt{n}\) : 1 \(\le\) n \(\le\) 50 and n is odd}.

Let a \(\in\) S and \(A = \left[ {\matrix{ 1 & 0 & a \cr { - 1} & 1 & 0 \cr { - a} & 0 & 1 \cr } } \right]\).

If \(\sum\limits_{a\, \in \,S}^{} {\det (adj\,A) = 100\lambda }\), then \(\lambda\) is equal to :

Given below are two statements :

Statement I : Emulsions of oil in water are unstable and sometimes they separate into two layers on standing.

Statement II : For stabilisation of an emulsion, excess of electrolyte is added.

In the light of the above statements, choose the most appropriate answer from the options given below :

A Carnot engine whose heat sinks at 27\(^\circ\)C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?

Let \(S = \left\{ {\theta \in [ - \pi ,\pi ] - \left\{ { \pm \,\,{\pi \over 2}} \right\}:\sin \theta \tan \theta + \tan \theta = \sin 2\theta } \right\}\).

If \(T = \sum\limits_{\theta \, \in \,S}^{} {\cos 2\theta }\), then T + n(S) is equal to :