JEE 2020: Weekly Quiz 13 (27.07.2019) for JEE & BITSAT Exams

Question 1

A rope of mass 5 kg is moving vertically in vertical position with an upwards force of 100 N acting at the upper end and a downwards force of 70 N acting at the lower end. The tension (in Newton) at midpoint of the rope is

Question 2

A particle of small mass m is joined to a very heavy body by a light string passing over a light pulley. Both bodies are free to move. The total downward force in the pulley is

Question 3

In the arrangement shown in the fig, the block of mass m = 2 kg lies on the wedge on mass M = 8 kg. Find the initial acceleration of the wedge if the surfaces are smooth and pulley & strings are massless.

Question 4

A monkey of mass 20 kg is holding a vertical rope. The rope can break when a mass of 25 kg is suspended from it. What is the maximum acceleration with which the monkey can climb up along the rope?

Question 5

Both the blocks shown here are of mass m and are moving with constant velocity in direction shown in a resistive medium which exerts equal constant force on both blocks in direction opposite to the velocity. The tension in the string connecting both of them will be (Neglect friction)

Question 6

A force exerts an impulse I on a particle changing its speed from u to 2u. The applied force and the initial velocity are oppositely directed along the same line. The work done by the force is

Question 7

A parallel beam of particles of mass m moving with velocity v impinges on a wall at an angle θ to its normal. The number of particles per unit volume in the beam is n. If the collision of particles with the wall is elastic, then the pressure exerted by this beam on the wall is

Question 8

A boy hits a baseball with a bat and imparts an impulse J to the ball. The boy hits the ball again with the same force, except that the ball and the bat are in contact for twice the amount of time as in the first hit. The new impulse equals.

Question 9

A system of two blocks A and B are connected by an inextensible massless string as shown. The pulley is massless and frictionless. Initially, the system is at rest when a bullet of mass ‘m’ moving with a velocity ‘u’ as shown hits the block ‘B’ and gets embedded into it. The impulse imparted by tension force to the block of mass 3 m is :

Question 10

In the figure (i), (ii) & (iii) shown the objects A, B & C are of same mass. String, spring & pulley are massless. C strikes B with velocity ‘u’ in each case and sticks to it. The ratio of velocity of B in case (i) to (ii) to (iii) is

Question 11

For which of the following values of m, the area of the region bounded by the curve y = x – x² and the line y = mx equals

Question 12

Area enclosed between the curve y² (2a – x) = x³ and line x,= 2a above x-axis is

Question 13

If

and

, then the value of a and b will be respectively

Question 14

Question 15

Evaluate:

Question 16

The value of

depends on

Question 17

The values of ‘a’ for which

are

Question 18

The absolute value of

is

Question 19

Consider the integrals

and

. The greatest of these integrals is

Question 20

If

, then

Question 21

Which of the following statement(s) is/are correct?
(I) The removal of one electron from Na⁺(g) ion requires more energy than that from Mg⁺(g)
(II) The extent of hydration of Na⁺ ion is more than that of K⁺ ion.
(III) Ionic radii follows the order for three elements (X, Y, Z) of same period belonging to group 1, 2 and 3 (i.e. I A, II A and III A) in the periodic table is X⁺ > Y²⁺ > Z³⁺.
(IV) With the increasing electronegativity (which increases with increasing positive charge), the basic strength of any elemental oxide decreases

Question 22

Identify the wrong statement among the following.

Question 23

Which one of the following arrangements does not give the correct picture of the trends indicated against it?

Question 24

Amongst the elements with following electronic configurations, which one of them may have the highest ionisation energy ?

Question 25

The formation of the oxide ion O^2- (g), from oxygen atom requires first an exothermic and then an endothermic step as shown below,

Thus, process of formation of O^2- in gas phase is unfavorable even though O2- is isoelectronic with neon. It is due to the fact that

Question 26

Fourteen elements of both 6th and 7th periods are called _____ and _____ respectively.

Question 27

The electronegativity values of the elements are useful in predicting :

Question 28

IUPAC name of the complex Na₂[NiCl₄] is-

Question 29

The IUPAC name for [Pt(py)₄] [PtCl₄] is

Question 30

The IUPAC name of [CoCl₂(en)₂]Cl is