Variation of Specific, Equivalent and Molar Conductivities with Concentration

Q. In Wheatstone's bridge P=9ohm, Q=11ohm, R=4ohm and S=6ohm. How much resistance must be put in parallel to the resistance S to balance the bridge

1. 24 ohm
2. $\frac{44}{9}$ ohm
3. 26.4 ohm
4. 18.7 ohm

Q. How does the graph of molar conductivity vs square root of concentration look like for NaCl?

1. 
2. 
3. 
4. 

Q. How many moles of HCl will be present in 100 ml of a solution HCl by mass? a.0.50 b.0.60 c 0.80 d.0.1

Q. $0.1M$ solution is present in a conductivity cell with electrode of $100c{m}^2$ area placed $1cm$ apart and resistance observed was $5\times {10}^{3}ohm$. What is the molar conductivity of this solution?

1. $5\times {10}^{2}Sc{m}^{2}mo{l}^{-1}$
2. $0.02Sc{m}^{2}mo{l}^{-1}$
3. $200Sc{m}^{2}mo{l}^{-1}$
4. ${10}^{4}Sc{m}^{2}mo{l}^{-1}$

Q.

The effective resistance between points P and Q of the electrical circuit shown in the figure is

1. $\frac{2Rr}{(R+r)}$

2. $8R\frac{(R+r)}{(3R+r)}$

3. 2r + 4R

4. $\frac{5R}{2}+2r$

Q.

In the given circuit, it is observed that the current I is independent of the value of the resistance $R_6.$ Then the resistance values must satisfy

(IIT-JEE 2001)

1. $R_1{R}_2{R}_5=R_3{R}_4{R}_6$

2. $\frac{1}{R_5}+\frac{1}{R_6}=\frac{1}{R_1+R_2}+\frac{1}{R_3+R_4}$
   

3. $R_1{R}_4=R_2{R}_3$

4. $R_1{R}_3=R_2{R}_4=R_5{R}_6$

Q. Molar conductivity for a compound AB is $145.0Sc{m}^{2}mo{l}^{-1}$ and for CB is $110.1Sc{m}^{2}mo{l}^{-1}$. Limiting molar conductivity for $A^{+}$ is $73.5Sc{m}^{2}mo{l}^{-1}$. What is the molar conductivity for $C^{+}$?

1. $326.6Sc{m}^{2}mo{l}^{-1}$
2. $181.6Sc{m}^{2}mo{l}^{-1}$
3. $38.6Sc{m}^{2}mo{l}^{-1}$
4. $90.8Sc{m}^{2}mo{l}^{-1}$

Q.

As we dilute the solutions gradually conductivity of the solution also decreases. State the reason.

Q. Five resistances are combined according to the figure. The equivalent resistance between the point X and Y will be

1. $10\Omega$
2. $22\Omega$
3. $20\Omega$
4. $50\Omega$

Q. The effective resistance between points P and Q of the electric circuit shown in the figure is?

1. $\frac{2Rr}{(R+r)}$
   
2. $\frac{8(R+r)}{(3R+r)}$
   
3. $2r+4R$
4. $2.5R+2r$

Q. Why does the electrolytic conduction decreases with increase in concentration of solution

Q. if we add a base to water the number OH- ions will decrease or increase

Q. A, B, C ad D are four resistances of 4, 4, 4 and $8\Omega$ respectively. They are used to form a wheatstone bridge.The resistance D is short circuited with a resistance R in order to get the bridge balanced. The value of R will be

1. $4\Omega$
2. $6\Omega$
3. $8\Omega$
4. $3\Omega$

Q. In the network shown in the figure each of resistance is equal to $2\Omega$. The resistance between A and B is

1. $1\Omega$
2. $2\Omega$
3. $3\Omega$
4. $4\Omega$

Q. Given below are two statements : Statements I : The limiting molar conductivity of $KCl$ ( strong electrolyte ) is higher compared to that of $C{H}_{3}COOH$ (weak electrolyte) . Statements II : Molar conductivity decreases with decrease in concentration of electrolyte In the light of the above statements, choose the most appropriate answer from the options given below :
(JEE MAIN 2021)

1. Both Statements I and II are false
2. Both Statements I and II are true
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true

Q. Resistance of 0.2 M solution of an electrolyte is 50 $\Omega$. The specific conductance of the solution is $1.4S{m}^{-1}.$ The resistance of 0.5 M solution of the same electrolyte is 280 $\Omega$. The molar conductivity of 0.5 M solution of the electrolyte in $S{m}^{2}mo{l}^{-1}$ is:
(IIT-JEE-2014)

1. $5\times {10}^3$
2. $5\times {10}^2$
3. $5\times {10}^{-4}$
4. $5\times {10}^{-3}$

Q. Resistance of 0.2 M solution of an electrolyte is 50 $\Omega$. The specific conductance of the solution is $1.4S{m}^{-1}.$ The resistance of 0.5 M solution of the same electrolyte is 280 $\Omega$. The molar conductivity of 0.5 M solution of the electrolyte in $S{m}^{2}mo{l}^{-1}$ is:
(IIT-JEE-2014)

1. $5\times {10}^3$
2. $5\times {10}^2$
3. $5\times {10}^{-4}$
4. $5\times {10}^{-3}$

Q. ${\wedge }_m={\wedge }_m^o-k\sqrt{C}$ is valid for

1. Weak electrolytes only
2. strong electrolytes only
3. both weak and strong electrolytes
4. Non electrolytes

Q. Five resistances are combined according to the figure. The equivalent resistance between the point X and Y will be

1. $10\Omega$
2. $22\Omega$
3. $20\Omega$
4. $50\Omega$

Q.

The increase in equivalent conductance of an electrolyte solution with

dilution is due to the increase in

[MP PMT 1996]

1. Ionic attraction

2. Molecular attraction

3. Degree of association of the electrolyte

4. Degree of ionisation of the electrolyte

Q. If each capacitor has capacitance $C$ in the figure $\left(a\right)$ then find $C_{AB}$.

1. $C$
2. $C/2$
3. $3C/2$
4. $\text{none of these}$

Q. Whether the switch $K$ is open or closed, the reading of galvanometer is the same. If $I$ denotes the current, then:

1. $I_1{R}_4=IG$
2. $I_1{R}_5=IG$
3. $I_1{R}_3=IG$
4. $I_1{R}_5=I{R}_3$

Q.

In a saturated solution of electrolyte, the ionic product of their concentration are constant at constant temperature and this constant for electrolyte is known as

1. Ionic product

2. Solubility product

3. Ionization constant

4. Dissociation constant

Q. Whether the switch $K$ is open or closed, the reading of galvanometer is the same. If $I$ denotes the current, then:

1. $I_1{R}_4=IG$
2. $I_1{R}_5=IG$
3. $I_1{R}_3=IG$
4. $I_1{R}_5=I{R}_3$

Q. In the circuit shown in figure the current through

1. the current in 3 ohm resistor is 0.5 A
2. the current in 3 ohm resistor is 0.25 A
3. the current in 4 ohm resistor is 0.5 A
4. the current in 4 ohm resistor is 0.25 A

Q. In the network shown in the figure each of resistance is equal to $2\Omega$. The resistance between A and B is

1. $1\Omega$
2. $2\Omega$
3. $3\Omega$
4. $4\Omega$

Q. In the metre bridge arrangement, an unknown resistance $R_1$ is connected in series with resistance of $10\Omega$. When the combination is connecetd to left gap of the meter bridge and $R_2$ is connected to right gap, balance point from left end is at $50\text{cm}$. When $10\Omega$ resistor is removed, the balance point shifts to $40\text{cm}$. The value of $R_1$ is

1. $20\Omega$
2. $10\Omega$
3. $60\Omega$
4. $40\Omega$

Q. The condition such that the potential difference, $V_A-V_B=0$.

1. $\frac{R_1}{R_4}=\frac{R_2}{R_3}$
2. $\frac{R_1}{R_3}=\frac{R_2}{R_4}$
3. $\frac{R_1}{R_2}=\frac{R_3}{R_4}$
4. $\frac{R_1}{R_3}=\frac{R_4}{R_2}$

Q. The condition such that the potential difference, $V_A-V_B=0$ is.

1. $\frac{R_1}{R_2}=\frac{R_4}{R_3}$
2. $\frac{R_1}{R_3}=\frac{R_4}{R_2}$
3. $\frac{R_1}{R_2}=\frac{R_3}{R_4}$

Q. Four resistances P, Q, R, X formed wheat stone bridge. The bridge is balanced when $R=64\Omega$. If P and Q are inter changed to bridge is balanced for $R=144\Omega$. The value of ‘X’ is

1. $300\Omega$
2. $200\Omega$
3. $110\Omega$
4. $96\Omega$