Functional isomers are compounds that have the same molecular formula but different functional groups.
1. Option (A): \( \text{CH}_3\text{COOH} \) is acetic acid (carboxylic acid), and \( \text{HCOOCH}_3 \) is methyl formate (ester). These are functional isomers because they have different functional groups: carboxylic acid and ester.
2. Option (B): \( \text{C}_2\text{H}_5\text{OC}_2\text{H}_5 \) is ethyl ether, and \( \text{C}_3\text{H}_7\text{OCH}_3 \) is methoxypropane. These compounds are not functional isomers; they have different molecular formulas and hence are not functional isomers.
3. Option (C): \( \text{CH}_3\text{CH}_2\text{OH} \) is ethanol (alcohol), and \( \text{CH}_3\text{OCH}_3 \) is dimethyl ether (ether). These are functional isomers because they have the same molecular formula but different functional groups: alcohol and ether.
4. Option (D): \( \text{CH}_3\text{CH}_2\text{NO}_2 \) is nitroethane, and \( \text{H}_2\text{NCH}_2\text{COOH} \) is glycine. These are functional isomers because they have different functional groups: nitro group and amino acid group. Thus, the correct answer is (B), as \( \text{C}_2\text{H}_5\text{OC}_2\text{H}_5 \) and \( \text{C}_3\text{H}_7\text{OCH}_3 \) are not functional isomers.
The correct option is (B): \(C_2H_5OC_2H_5\) and \(C_3H_7OCH_3\)
Functional isomers are compounds that have the same molecular formula but differ in the functional groups they contain. Now, let's examine the options:
Thus, Option (B) is the correct answer because the two compounds do not have the same molecular formula and therefore cannot be functional isomers.
\(X\) is the number of geometrical isomers exhibited by \([\mathrm{Pt(NH_3)(H_2O)BrCl}]\).
\(Y\) is the number of optically inactive isomer(s) exhibited by \([\mathrm{CrCl_2(ox)_2}]^{3-}\).
\(Z\) is the number of geometrical isomers exhibited by \([\mathrm{Co(NH_3)_3(NO_2)_3}]\). Find the value of \(X + Y + Z\). }
For the thermal decomposition of reactant AB(g), the following plot is constructed. 
The half life of the reaction is 'x' min.
x =_______} min. (Nearest integer)}
The incorrect statements regarding geometrical isomerism are:
(A) Propene shows geometrical isomerism.
(B) Trans isomer has identical atoms/groups on the opposite sides of the double bond.
(C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene.
(D) 2-methylbut-2-ene shows two geometrical isomers.
(E) Trans-isomer has lower melting point than cis isomer.


Given below are two statements:
Statement (I):
are isomeric compounds.
Statement (II):
are functional group isomers.
In the light of the above statements, choose the correct answer from the options given below:
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2