JEE 2020: Weekly Quiz 17 (10.08.2019) for JEE & BITSAT Exams

Question 1

The number of hydrogen atom(s) attached to phosphorus atom in hypophosphorous acid is

Question 2

Which one of the following is the correct statement?

Question 3

Which one of the following reactions of Xenon compounds is not feasible?

Question 4

Chlorine water on standing loses its colour and forms:

Question 5

Which series of reactions correctly represents chemical reactions related to iron and its compound?

Question 6

A metal M forms water soluble MSO₄ and inert MO. MO in aqueous solution forms insoluble M(OH)₂ soluble in NaOH. Metal M is:

Question 7

The commercial name for calcium oxide is:

Question 8

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy?

Question 9

Hydrogen bomb is based on the principle of

Question 10

The main oxides formed on combustion of Li, Na and K in excess of air are, respectively:

Question 11

Let a function f(x) be such that f ''(x) = f'(x) + e^x and f(0) = 0, f '(0) = 1 , then

ln equal to

Question 12

The solution of the differential equation

is

Question 13

The solution of the differential equation

is

Question 14

The general solution of y² dx + (x² – xy + y²) dy = 0 is

Question 15

The solution of the given differential equation

is

Question 16

The solution of the equation

is

Question 17

If two vertices of a triangle are i – j and j + k, then the third vertex can be

Question 18

The vector a + b bisects the angle between the vectors a and b, if

Question 19

If the vectors ai + j + k, i + bj + k and i + j + ck (a ≠ b ≠ c ≠ 1) are coplanar, then the value of

Question 20

Let a = i – j, b = j – k, c = k – i. If

is a unit vector such that

then

is equal to

Question 21

A solid sphere with a velocity (of centre of mass) v and angular velocity ω is gently placed on a rough horizontal surface. The frictional force on the sphere:

Question 22

A cylinder is pure rolling up an incline plane. It stops momentarily and then rolls back. The force of friction

Question 23

A uniform circular disc placed on a rough horizontal surface has initially a velocity v₀ and an angular velocity ω₀ as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then

is

Question 24

In the figure shown a ring A is initially rolling without sliding with a velocity v on the horizontal surface of the body B (of same mass as A) . All surfaces are smooth. B has no initial velocity. What will be the maximum height reached by A on B

Question 25

A point mass m_A is connected to a point mass m_B by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is

=3 . The distance of the centre of mass of the system from the mass A is

Question 26

For the same total mass which of the following will have the largest moment of inertia about an axis passing through its centre of mass and perpendicular to the plane of the body

Question 27

A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate passing through one of its vertex making an angle 15° from horizontal is.

Question 28

Moment of inertia of a semi-circular ring of radius R and mass M; about an axis passing through A and perpendicular to the plane of the paper is

Question 29

A 5 m long pole of 3 kg mass is placed against a smooth vertical wall as shown in the figure. Under equilibrium condition, if the pole makes an angle of 37° with the horizontal, the frictional force between the pole and horizontal surface is

Question 30

A right triangular plate ABC of mass m is free to rotate in the vertical plane about a fixed horizontal axis through A . It is supported by a string such that the side AB is horizontal. The reaction at the support A is: