Class XI Revision Quiz Week 3 Day 2 for JEE & BITSAT Exams

Question 1

Find the corresponding point of

of auxiliary circle at

.

Question 2

Consider a rigid square ABCD as shown in the figure with A and B on the x and y-axis respectively.

When A and B slide along their respective axes, the locus of C forms a part of

Question 3

The line passing through the extremely ‘A’ of the major axis and extremity ‘B’ of minor axis if elipse x²+9y²=9, meets its auxiliary circle at the point m. Then the area of triangle with vertices at A,M and the origin at the O is

Question 4

If two conics a₁x² + 2h₁xy+ b₁y² = c₁ and a²x² + 2h₂xy + b₂y² = c₂ intersect in four concyclic points, then

Question 5

A hyperbola has centre C and one focus at P(6, 8). If its two directrices are 3x+4y+10=0 and 3x+4y-10=0 then CP=

Question 6

“Equilibrium is dynamic nature“-implies

Question 7

In liquid-vapour equilibrium, the constant vapour pressure of the system indicates

Question 8

In the Haber process for the industrial manufacture of ammonia involving the reaction, N₂ + 3H₂ 2NH₃ at 200 atm pressure in the presence of a catalyst, a temperature of about 500 °C is used. This is considered as optimum temperature for the process because -

Question 9

Phosphorus pentachloride dissociates as follows, in a closed reaction vessel,
PCl₅(g)

PCl₃(g) + Cl₂(g)
If total pressure at equilibrium of the reaction mixture is P and degree of dissociation of PCl₅ is x, the partial pressure of PCl₃ will be

Question 10

Consider the reaction equilibrium:

;

On the basis of Le-Chateliers’ principle, the condition favourable for the forward reaction is

Question 11

Two bodies of mass m and 2m are at d distance apart. They rotate about their common center of mass. What is the ratio of angular momentum of smaller mass to the heavier body?

Question 12

If

is the escape velocity of a satellite what is the orbital velocity then,

Question 13

A lighter planet revolving around a very massive star in a circular orbit of a radius R with a period of revolution T. If the Attraction of gravitational force between the planet and the star is proportional to

then

is proportional to

Question 14

A rocket of mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity 100 ms^-1with respect to the rocket. What is the minimum rate of burning of fuel, so as to just lift the rocket upwards against, the gravitational attraction? (Take g=10ms^-1)

Question 15

A particle on the surface of the earth is given a velocity equal to the escape velocity. Its mechanical energy will be: