Half life of a zero order reaction is directly proportional to $\qquad$

Mention True $(T)$ and False $(F)$ statements for the following regarding a zero-order reaction $R \rightarrow P$:
$1. \ t_{1/2} \propto [R]_0$
$2. \ t_{1/2} \propto k$

If the initial concentration of a reactant is doubled,its half-life period also doubles. Determine the order of the reaction.

Which of the following is correct for a zero-order reaction?

The rate constant of a zero-order reaction is $0.2 \ mol \ L^{-1} \ hr^{-1}$. If the concentration of the reactant after $0.5 \ hr$ is $0.05 \ M$,then the initial concentration of the reactant is ....... $M$.

If the slope of a line of the graph between dissociated concentration of reactant $([A]_0 - [A]_t)$ and time ($t$ in $min$) for a zero order reaction is $0.02 \ mol \ L^{-1} \ min^{-1}$,then calculate the initial concentration of reactant $([A]_0)$,if after $30 \ min$ its concentration $([A]_t)$ is $0.05 \ mol \ L^{-1}$. (in $M$)