\(Conjugate\ acid \ of\ NH_2^–:\)
\(NH_4OH\)
\(NH4^+\)
\(NH^{2-}\)
\(NH_3\)
To determine the conjugate acid of a given base, we need to understand the concept of conjugate acid-base pairs. A conjugate acid is formed when a base gains a proton (H+).
In this question, we need to find the conjugate acid of \(NH_2^-\), which is the amide ion. The amide ion, \(NH_2^-\), will gain a proton to form its conjugate acid.
The amide ion (\(NH_2^-\)) is a base. According to the Bronsted-Lowry theory, a base can accept a proton.
Reaction: NH_2^- + H^+ \rightarrow NH_3
When the amide ion (\(NH_2^-\)) gains a proton (\(H^+\)), it becomes ammonia (\(NH_3\)).
Thus, the conjugate acid of \(NH_2^-\) is \(NH_3\).
Now let's justify why the other options are incorrect:
Therefore, the correct answer is NH_3.
An ideal massless spring \( S \) can be compressed \( 1 \) m by a force of \( 100 \) N in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at \( 30^\circ \) to the horizontal. A \( 10 \) kg block \( M \) is released from rest at the top of the incline and is brought to rest momentarily after compressing the spring by \( 2 \) m. If \( g = 10 \) m/s\( ^2 \), what is the speed of the mass just before it touches the spring?
