Step 1: Recall the composition of sucrose.
Sucrose is a disaccharide composed of one molecule of glucose and one molecule of fructose.
Its molecular formula is
\[
C_{12}H_{22}O_{11}
\]
and it contains glucose and fructose units linked through a glycosidic bond.
Step 2: Understand acid hydrolysis of sucrose.
When sucrose is boiled with dilute hydrochloric acid, hydrolysis of the glycosidic linkage occurs.
\[
C_{12}H_{22}O_{11}+H_2O
\rightarrow
C_6H_{12}O_6+C_6H_{12}O_6
\]
The products formed are glucose and fructose.
Step 3: Write the hydrolysis reaction.
\[
\text{Sucrose}
\xrightarrow[\text{heat}]{dil.\ HCl}
\text{Glucose}+\text{Fructose}
\]
One mole of sucrose produces:
\[
1 \text{ mole of glucose}
\]
and
\[
1 \text{ mole of fructose}
\]
Step 4: Determine the ratio of products.
Since equal moles of glucose and fructose are produced,
\[
\text{Glucose}:\text{Fructose}
=
1:1
\]
Step 5: Final conclusion.
Therefore, the ratio in which glucose and fructose are formed is
\[
\boxed{1:1}
\]
Hence, option (1) is correct.