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JEE 2020: Weekly Quiz 6 (30.06.2019)

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Question 1

Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at 40 cm from left end. A 30 resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of smaller resistance in is

Question 2

The resistivity of potentiometer wire is 40 x 10-8 ohrn =metre and its area of cross-section is 8 x 10-6 m2. If 0.2 ampere current is flowing through the wire, the potential gradient
of the wire is

Question 3

A galvanometer of resistance 30 is connected to a battery of emf 2V with 1970 resistance in series. A full scale deflection of 20 divisions is obtained in the galvanometer. To reduce the deflection to 10 divisions, the resistance in series required is

Question 4

Consider the regular array of vertical identical current carrying wires (with direction of current flow as indicated in the figure below) protruding through a horizontal table. If we scatter some diamagnetic particles on the table, they are likely to accumulate

Question 5

Consider the circuit shown below where all resistors are of 1 kΩ.

If a current of magnitude 1 mA flows through the resistor marked X, what is the potential difference measures between point P and Q?

Question 6

A potentiometer is connected across A and B and a balance is obtained at 64.0 cm. When potentiometer lead to B is moved to C, a balance is found at 8.0 cm. If the potentiometer is now connected across B and C, a balance will be found at

Question 7

A heating element has a resistance of 100 Ω at room temperature. When it is connected to a supply of 220 V, a steady current of 2 A passes in it and temperature is 500oC more than room temperature. What is the temperature coefficient of resistance of the heating element?

Question 8

Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P1 and P2 respectively, then :

Question 9

An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and resistance 5Ω. The value of R, to give a potential difference of 5 mV across 10 cm of potentiometer wire, is:

Question 10

In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation of its resistance R with . Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP?

Question 11


Find

Question 12

The domain of the function is

Question 13

The range of the function of the function is

Question 14

The domain of the function is , where {x} is the greatest fractional function

Question 15

If g(f(x)) = and f(g(x)) = (sin )2 then

Question 16

If and Then find

Question 17

The number of all 2-digit numbers n, such that n is equal to the sum of the square of digit in its tens place and the cube of the digit in units place is

Question 18

If the function Description: E:\WBJEE\2016\2016_Mathematics_files\image065.png is defined by
Description: E:\WBJEE\2016\2016_Mathematics_files\image066.png then f is

Question 19

If f(x) is an even function, then f’(x) is

Question 20

If F : R Ris defined by f(x)=2x+3, then f-1(x)

Question 21

The value of KP1 and Kp2 for the reactions
…(i)
and …(ii)
are in ratio of 9 : 1. If degree of dissociation of X and .A be equal, then total pressure at equilibrium(i) and (ii) are in the ratio

Question 22

What is the pH of the resulting solution when equal volumes of 0.1 M NaOH and 0.01 M HCl are mixed?

Question 23

If the equilibrium constant for is K, the equilibrium constant for
will be,

Question 24

Aqueous solution of which of the following compounds is the best conductor of electric current?

Question 25

The percentage of pyridine (C5H5N) that forms pyridinium iron (C5H5N+H) In A 0.10 M aqueous pyridine solution (Kb for C5H5N = 1.7 X 10 -9) is

Question 26

which of the following fluoro-compounds is most likely to behave as a Lewis base?

Question 27

A device that converts energy of combustion of fuels like hydrogen and methane, directly into electrical energy is known as

Question 28

At 25 ºC molar conductance of 0.1 molar aqueous solution of ammonium hydroxide is 9.54 ohm–1 cm2 mol–1 and at infinite dilution its molar conductance is 238 ohm–1 cm2 mol–1. The degree or ionisation of ammonium hydroxide at the same concentration and temperature is :

Question 29

The molar conductivity of a 0.5 mol/dm3 solution of AgNO3 with electrolytic conductivity of 5.76 x 10-1 S cm-3 at 298 K is

Question 30

Standard electrode potential for Sn4+/Sn2+ couple is +0.15 V and that for the Cr3+/Cr couple is -0.74. These two couple in their standard state are connected to make a cell. The cell potential will be
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