JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT

Let \(\eta_{1}\) is the efficiency of an engine at \(T_{1}=447^{\circ} \mathrm{C}\) and \(\mathrm{T}_{2}=147^{\circ} \mathrm{C}\) while \(\eta_{2}\) is the efficiency at \(\mathrm{T}_{1}=947^{\circ} \mathrm{C}\) and \(\mathrm{T}_{2}=47^{\circ} \mathrm{C}\) The ratio \(\frac{\eta_{1}}{\eta_{2}}\) will be :

Given below are two statements.

Statement I : Pig iron is obtained by heating cast iron with scrap iron.

Statement II : Pig iron has a relatively lower carbon content than that of cast iron.

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

Consider the following statements:

P : Ramu is intelligent.

Q : Ramu is rich.

R : Ramu is not honest.

The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 \(\times\) 10^\(-\)4 Wbm^\(-\)2. The frequency of revolution of the electron will be :

(Take mass of electron = 9.0 \(\times\) 10^\(-\)31 kg)

High purity (> 99.95%) dihydrogen is obtained by :

A plane \(E\) is perpendicular to the two planes \(2 x-2 y+z=0\) and \(x-y+2 z=4\), and passes through the point \(P(1,-1,1)\). If the distance of the plane \(E\) from the point \(Q(a, a, 2)\) is \(3 \sqrt{2}\), then \((P Q)^{2}\) is equal to :