JEE 2020: Weekly Quiz 18 (11.08.2019) for JEE & BITSAT Exams

Question 1

In which of the following arrangements, the sequence is not strictly according to the property written against it?

Question 2

Ammonia forms the complex ion [Cu(NH₃)₄]²⁺ with copper ion sin the alkaline solutions but not in acidic solutions. What is the reason for it?

Question 3

The reaction of zinc with dilute and concentrated nitric acid, respectively, produces:

Question 4

Example of a three-dimensional silicate is:

Question 5

One mole of magnesium nitride on the reaction with an excess of water gives

Question 6

Which one the following statement regarding helium is incorrect?

Question 7

Which of the following statements regarding sulphur is incorrect?

Question 8

Which among the following is the most reactive?

Question 9

The number of S=O and S−OH bonds present in peroxodisulphuric acid and pyrosulphuric acid respectively are:

Question 10

XeF₆ on partial hydrolysis with water produces a compound ‘X’. The same compound ‘X’ is formed when XeF₆ reacts with silica. The compound ‘X’ is:

Question 11

The degree of the differential equation

is

Question 12

The order of the differential equation whose general solution is given by

is

Question 13

If

is general solution of a differential equation, then order of the equation is

Question 14

The differential equation of all circles passing through the origin and having their centres on the x–axis is

Question 15

Differential equation whose general solution is y = c₁x + c₂/x for all values of c₁ and c₂ is-

Question 16

The differential equation for all the straight lines which are at a unit distance from the origin is

Question 17

If a = 2i + k, b = i + j + k and c = 4i – 3j + 7k. If d × b = c × b and d. a = 0 then d will be

Question 18

If a × r = b + λa and a. r = 3, where a = 2i + j – k and b = – i – 2j + k, then r and λ are equal to

Question 19

If b and c are any two non-collinear unit vectors and a is any vector, then

Question 20

If a, b, c are non-coplanar unit vectors such that

, then the angle between a and b is

Question 21

A horizontal force F = mg/3 is applied on the upper surface of a uniform cube of mass ‘m’ and side ‘a’ which is resting on a rough horizontal surface having μ_S = 1/2. The distance between lines of action of ‘mg’ and normal reaction ‘N’ is :

Question 22

A body weighs 6 gm when placed in one pan and 24 gm when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, the true weight of the body is :

Question 23

A weightless rod is acted on by upward parallel forces of 2N and 4N at ends A and B respectively. The total length of the rod AB = 3m. To keep the rod in equilibrium a force of 6N should act in the following manner:

Question 24

For the pivoted slender rod of length l as shown in figure, the angular velocity as the bar reaches the vertical position after being released in the horizontal position is

Question 25

A small object is attached to a light string which passes through a hollow tube. The tube is held by one hand and the string by the other. The object is set into rotation in a circle of radius r₁. The string is then pulled down, shortening the radius of the circle to r₂. The ratio of the new kinetic energy to original kinetic energy is

Question 26

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is :

Question 27

A rigid massless rod of length 3

has two masses attached at each end as shown in the figure. The rod is pivoted at point P on the horizontal axis (see figure). When released from initial horizontal position, its instantaneous angular acceleration will be :

Question 28

The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is I(x). Which one of the graphs represents the variation of I(x) with x correctly?

Question 29

A particle of mass 20g 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 30

A train of mass M is moving on a circular track of radius R with constant speed V. The length of the train is half of the perimeter of the track. The linear momentum of the train will be