JEE 2020: Weekly Quiz 5 (29.06.2019) for JEE & BITSAT Exams

Question 1

The total current supplied to the circuit by the battery is

Question 2

Which of the following statements is false?

Question 3

An ideal coil of 10H is connected in series with a resistance of 5Ω and a battery of 5 V. 2 seconds after the connection is made, the current flowing in amperes in the circuit is

Question 4

The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its stand and cell is E volt. It is employed to measure the e.m.f. of a battery whose internal resistance is 0.5 Ω. If the balance point is obtained at λ =30 cm from the positive end, the e.m.f. of the battery is

Question 5

Two sources of equal emf are connected to an external resistance R. The internal resistance of the two sources are R₁ and R₂ (R₂ > R₁). If the potential difference across the source having internal resistance R₂ is zero, then

Question 6

Two conductors have the same resistance a 0 ºC but their temperature coefficients of resistance are α₁ and α₂. The respectively temperature coefficients of their series an parallel combinations are nearly

Question 7

The resistance of bulb filament is 100 Ω at a temperature of 100 ºC. If its temperature coefficient of resistance be 0.005 per ºC, its resistance will become 200 Ω at a temperature of

Question 8

A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then, an electric current will

Question 9

On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of their series combination is

How much was the resistance on the left slot before interchanging the resistances?

Question 10

Two batteries with e.m.f. 12 V and 13 V are connected in parallel across a load resistor of

The internal resistances of the two batteries are

and

respectively. The voltage across the load lies between :

Question 11

Question 12

Find

Question 13

Question 14

Find

If

Question 15

Find the number of possible values of

and

if they are positive integers.

Question 16

The range of the function

defined on

is

Question 17

Let

be a differentiable function such that

and

for some a < b. Then the minimum number of roots of

in the interval (a, b) is

Question 18

If 3f(x) -

for x > 0, then f(e^x) is

Question 19

Let [a] denote the greatest integer which is less than or equal to a. Then the value of the integral $Description: E:\WBJEE\2013\2013_Mathematics_files\image277.png$ dx is

Question 20

The domain of the function y =

is

Question 21

Rate of diffusion of ozonized oxygen is

times that of pure oxygen. What is the percent degree of association of oxygen assuming pure O₂ in the sample initially ?

Question 22

Regarding the ethanoic acid-sodium ethanoate buffer, which of the following statement is correct?

Question 23

The hydrogen ion concentration of a 10^-8 M HCl aqueous solution at 298 K (K_w = 10^-14) is :

Question 24

Which of the following statements is correct for a reversible process in a state of equilibrium?

Question 25

The equilibrium constant of the reaction :
Cu(s) + 2Ag⁺ (aq) → Cu²⁺(aq)+2Ag(s);
E⁰=0.46 V at 298 K is :(log2= 0.30)

Question 26

Which one of the following is incorrect for ideal solution?

Question 27

Zinc can be coated on iron to produce galvanised iron but the reverse is not possible. It is because

Question 28

The pressure of H₂ required to make the potential of H₂-electrode zero in pure water at 298 K is

Question 29

Oxidation numbers of P in

, of S in

and that of Cr in

are respectively,

Question 30

The standard electrode reduction potential of three metals X, Y and Z are -1.2 V, +0.5 V and -3.0 V respectively. The reducing power of these metals will be