JEE 2020: Weekly Quiz 11 (20.07.2019) for JEE & BITSAT Exams

Question 1

Which of the following statements holds true?

Question 2

A wire of length 20 cm is to be cut into two pieces, one piece is converted into a circle and other into a square. From where the wire is to be cut so that sum of the areas of the two is:

Question 3

Let f(x) = (x – a)ⁿ g(x), where gⁿ A. ≠ 0 ; n = 1, 2, 3.... then

Question 4

Let f (x) = (x² –1)ⁿ (x² + x – 1) then f (x) has local extremum at x = 1 when -

Question 5

Let f : (-∞, ∞) → (-∞, ∞) be defined by f(x) = x³ + 1

Statement 1 : The function f has a local extremum at x = 0

Statement 2 : The function f is continuous and differentiable (-∞, ∞) and f’(0) = 0

Question 6

The values of K for which the function

may be increasing on R are

Question 7

Question 8

If

, then the value of a and c is

Question 9

The value of

will be

Question 10

If

, then

is equal to

Question 11

A particle is dropped from a height H. The de-Broglie wavelength of the particle as a function of height is proportional to

Question 12

At what angle (θ) with the horizontal should a body be projected so that its horizontal range equals the maximum height it attains?

Question 13

Power supplied to a particle of mass 2 kg varies with time as

watt, where t is in second. If the velocity of particle at t=0 is v=0, the velocity of particle at time t=2s will be

Question 14

An object is placed on a smooth inclined plane of 1 in l. The horizontal acceleration to be imparted to inclined plane so that, the object is stationary relative to the inclined is given by

Question 15

A particle is thrown vertically upward with a speed of u from a tower of height H. The time taken by the particle to hit ground is n times that taken by it to reach the highest point of its path. The relation between H, u and n is

Question 16

A small mass slides down an inclined plane of inclination θ with the horizontal. The co-efficient of friction is μ = μ₀x, where x is the distance through which the mass slides down and μ₀, a constant. Then the distance covered by the mass before it stops is:

Question 17

A small mass slides down an inclined plane of inclination θ with the horizontal. The co-efficient of friction is μ = μ₀x, where x is the distance through which the mass slides down and μ₀, a constant. Then the speed of the mass when travelled half the maximum distance is

Question 18

A body is moving down a long-inclined plane of slope 37°. The coefficient of friction between the body and plane varies as μ = 0.3 x, where x is distance travelled down the plane. The body will have maximum speed.

Question 19

A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined an at an angle θ to the vertical. The minimum value of coefficient of friction between the block and the surface for which the block will remain in equilibrium is:

Question 20

Starting from rest a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction force. The co-efficient of friction between the body and the inclined plane is:

Question 21

Consider the following reactions at 1100 °C
(I) 2C + O₂

2CO,

G ° = - 460 kJ mol^-1
(II) 2Zn + O₂

2ZnO,

G ° = - 360 kJ mol^-1
Based on these, select correct alternate:

Question 22

A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous at high temperature. Identify the correct statement about the reaction among the following:

Question 23

A reaction is non-spontaneous at the freezing point of water but is spontaneous at the boiling point of water then ΔH and ΔS should be

Question 24

A gas undergoes change from state A to state B. In this process, the heat absorbed and work done by the gas is 5 J and 8 J, respectively. Now gas is brought back to A by another process during which 3 J of heat is evolved. In this reverse process of B to A:

Question 25

is equal to:

Question 26

Number of atoms in the unit cell of Na (BCC type crystal) and Mg (FCC type crystal) are respectively:

Question 27

The radius of a calcium ion is 94 pm and of the oxide ion is 146 pm. The possible crystal structure of calcium oxide will be

Question 28

An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be

Question 29

Which one of the following molecules is paramagnetic?

Question 30

According to molecular orbital theory, which of the following will not be a viable molecule?