Class XI Revision Quiz Super Sunday for JEE & BITSAT Exams

Question 1

The range of

is

Question 2

If

then

is

Question 3

Period of the function f(x)={x}+cos x is

Question 4

Find the sum of solutions of

Question 5

Find the positive range of

Question 6

1 + cosec

+ cosec

equals -

Question 7

+

= 2 then x is -

Question 8

Find the general solution of x, cos² 2x + cos² 3x = 1

Question 9

The number of solutions of the equation sin

= x² – 2

x + 4

Question 10

If x ≠

and

= 1, then all solutions of x are given by

Question 11

From a circle of radius a, an isosceles right-angled triangle with the hypotenuse as the diameter of the circle is removed. The distance of the centre of gravity of the remaining portion from the centre of the circle is

Question 12

In the figure shown a hole of radius 2 cm is made in a semi-circular disc of radius 6π at a distance 8 cm from the centre C of the disc. The distance of the centre of mass of this system from the centre C of the semi-circular disc is

Question 13

A semi-circular portion of radius ’r’ is cut from a uniform rectangular plate as shown in figure. The distance of centre of mass ’C’ of remaining plate, from point ’O’ is

Question 14

A circular disc D₁ of mass m and radius R has two identical discs D₂ and D₃ of the same mass m and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO’, passing through the centre of D₁, as shown in the figure, will be:

Question 15

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians):

Question 16

A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string):

Question 17

A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. the particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be: (Take g = 10 m/s²)

Question 18

A symmetric lamina of mass M = 10 kg, consist of a square shape with a semi-circular section over each of the edge of the square as in the figure. The side of the square is 2a = 10 m. The moment of inertia of the lamina about an axis through its centre of mass and perpendicular to the plane is

. Find the radius of gyration about the tangent PQ in the plane of lamina

Question 19

A uniform bar of length ‘6ℓ’ and mass ‘8m’ lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v respectively, strike the bar (as shown in the fig.) and stick to the bar after collision. Total energy after collision (about the centre of mass, c) will be:-

Question 20

At time t = 0, a 2 kg particle has position vector

= (4i-2j) m relative to the origin. Its velocity is given by

for t

0. The torque acting on the particle about the origin at t = 2s, is :

Question 21

The first law of thermodynamics for isothermal process is

Question 22

Calculate the work done during compression of 2 of of an ideal gas from a volume of 1 rn³ to 10 dm³ at 300 K against a pressure of 100 KPa.

Question 23

Mathematical equation of first law of thermodynamics for isochoric process is

Question 24

Consider a classroom that it roughly 8.21x10x3m. Initially T=290K and P=1 atm. There are 50 people in the class, each losing energy to the room at the average rate of 166W. Assume that the walls, ceiling, floor and furniture are perfectly insulated and do not absorb any heat. Also assume that all the doors and windows are tightly closed to prevent any exchange of air from surrounding. How long in secs will the chemistry examination last if the professor has foolishly agreed to dismiss the class when the air temperature in the room reachers body temperature, 310K? For air Cp=3.5R

Question 25

Which of the following statements is are incorrect ?

Question 26

Consider two-dimensional hexagonal close packing. The coordination number of an atom in this close packing is

Question 27

A molecule consisting element A and B crystallises in cubic structure in which A atoms are at the corners of the cube while B atoms are in the centre of cube. Formula of the compound is

Question 28

In which pair most efficient packing is present ?

Question 29

The void formed by close packed array of spheres located at the alternate corners of each face is:

Question 30

In an antifluorite structure,cations occupy: