Which of the following represents the hyperconjugation effect?

Arrange the following according to the instructions:
$(i)$ Arrange in descending order of acidic strength:
$CH_3COOH, (CH_3)_3CCOOH, (CH_3)_2CHCOOH, CH_3CH_2COOH$
(ii) Arrange in descending order of stability:
$\stackrel{+}{CH}_3, (CH_3)_3\stackrel{+}{C}, CH_3CH_2^+, (CH_3)_2\stackrel{+}{CH}$
(iii) Arrange in increasing order of acidic strength:
$CCl_3COOH, CH_3COOH, CHCl_2COOH, CH_2ClCOOH$
(iv) Arrange in increasing order of stability:
$(a)$ $CH_3CH=CH-CHO$
$(b)$ $CH_3\stackrel{+}{CH}-CH=C-O:^-$
$(c)$ $\stackrel{+}{CH}_2-CH=CH-C=O$
$(v)$ Arrange in decreasing order of stability:
$(I)$ $CH_2=CH-CHO$
$(II)$ $\stackrel{+}{CH}_2-CH=C-H$ (with $O^-$)
$(III)$ $:CH_2-CH=C-H$ (with $O^-$)

Show the polarisation of the carbon-magnesium bond in the following structure: $CH_3-CH_2-CH_2-CH_2-MgX$.

Match the following electronic effects in List-$I$ with their corresponding examples or representations in List-$II$.

List-$I$	List-$II$
$(A)$ Resonance	$(I)$ $C=C + H^+ \rightarrow C^+-C-H$
$(B)$ Inductive effect	$(II)$ $H-CH_2-CH_2^+ \leftrightarrow H-CH_2=CH_2^+$
$(C)$ Electromeric effect	$(III)$ $C_6H_6$
$(D)$ Hyperconjugation	$(IV)$ $CH_3-Z \rightarrow CH_3^- + Z^+$
	$(V)$ $CH_3-CH_2-CH_2Cl$

Choose the correct order $:-$

Explain the terms Inductive and Electromeric effects. Which electron displacement effect explains the following correct orders of acidity of the carboxylic acids?
$(a)$ $Cl_3CCOOH > Cl_2CHCOOH > ClCH_2COOH$
$(b)$ $CH_3CH_2COOH > (CH_3)_2CHCOOH > (CH_3)_3C \cdot COOH$