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(D) Let $m$ be the number of cells in the $12$-cell battery that are wrongly connected. Each wrongly connected cell cancels the emf of one correctly c

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(D) Let $m$ be the number of cells in the $12$-cell battery that are wrongly connected. Each wrongly connected cell cancels the emf of one correctly connected cell. Thus,the effective emf of the $12$-cell battery is $(12 - m)E - mE = (12 - 2m)E$.When the $12$-cell battery and the $2$-cell battery aid each other,the total emf in the circuit is $(12 - 2m)E + 2E = (14 - 2m)E$. The current is given by $i_1 = \frac{(14 - 2m)E}{R} = 3 	ext{ A}$ ... $(i)$.When they oppose each other,the total emf in the circuit is $(12 - 2m)E - 2E = (10 - 2m)E$. The current is given by $i_2 = \frac{(10 - 2m)E}{R} = 2 	ext{ A}$ ... (ii).Dividing equation $(i)$ by equation (ii),we get:$\frac{3}{2} = \frac{14 - 2m}{10 - 2m}$$3(10 - 2m) = 2(14 - 2m)$$30 - 6m = 28 - 4m$$2 = 2m$$m = 1$.Therefore,the number of wrongly connected cells is $1$.

List-$I$	List-$II$
$(A)$ Benzene	$1$. Phosgene
$(B)$ Ethylene	$2$. Silver mirror
$(C)$ Acetaldehyde	$3$. Mustard gas
$(D)$ Chloroform	$4$. $(4n + 2) \pi$ electrons
	$5$. Carbylamine

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What is $Z$ in the following reaction sequence?
$C_6H_5NH_2$ $\xrightarrow[(i) NaNO_2 + HCl / 273 \ K]{(ii) H_3PO_2 + H_2O}$ $\xrightarrow[(iii) CO, HCl, \text{anhydrous } AlCl_3/CuCl]{} Z$

Match the following lists:
List-$I$ List-$II$
$(A)$ Benzene $1$. Phosgene
$(B)$ Ethylene $2$. Silver mirror
$(C)$ Acetaldehyde $3$. Mustard gas
$(D)$ Chloroform $4$. $(4n + 2) \pi$ electrons
$5$. Carbylamine

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