JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT

The compound(s) that is (are) removed as slag during the extraction of copper is :

(A) CaO

(B) FeO

(C) Al₂O₃

(D) ZnO

(E) NiO

Choose the correct answer from the options given below:

Let \(\mathrm{P}\) be the plane containing the straight line \(\frac{x-3}{9}=\frac{y+4}{-1}=\frac{z-7}{-5}\) and perpendicular to the plane containing the straight lines \(\frac{x}{2}=\frac{y}{3}=\frac{z}{5}\) and \(\frac{x}{3}=\frac{y}{7}=\frac{z}{8}\). If \(\mathrm{d}\) is the distance of \(\mathrm{P}\) from the point \((2,-5,11)\), then \(\mathrm{d}^{2}\) is equal to :

An observer is riding on a bicycle and moving towards a hill at \(18 \,\mathrm{kmh}^{-1}\). He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original frequency of the sound as emitted by source is \(640 \mathrm{~Hz}\) and velocity of the sound in air is \(320 \mathrm{~m} / \mathrm{s}\), the beat frequency between the two sounds heard by observer will be _____________ \(\mathrm{Hz}\).

The reaction of \(\mathrm{H}_{2} \mathrm{O}_{2}\) with potassium permanganate in acidic medium leads to the formation of mainly :

A tower PQ stands on a horizontal ground with base \(Q\) on the ground. The point \(R\) divides the tower in two parts such that \(Q R=15 \mathrm{~m}\). If from a point \(A\) on the ground the angle of elevation of \(R\) is \(60^{\circ}\) and the part \(P R\) of the tower subtends an angle of \(15^{\circ}\) at \(A\), then the height of the tower is :

The required height of a TV tower which can cover the population of \(6.03\) lakh is \(h\). If the average population density is 100 per square \(\mathrm{km}\) and the radius of earth is \(6400 \mathrm{~km}\), then the value of \(h\) will be _____________ \(m\).