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$(A)$ The vertical component of reaction force at $O$ does not depend on $\alpha$
$(B)$ The horizontal component of reaction force at $O$ is equal to $W$ for $\alpha=0.5$
$(C)$ The tension in the rope is $2 W$ for $\alpha=0.5$
$(D)$ The rope breaks if $\alpha>1.5$


$(i)$ a body with large reflectivity is a poor emitter
$(ii)$ a brass tumbler feels much colder than a wooden tray on a chilly day
$(iii)$ the earth without its atmosphere would be inhospitably cold
$(iv)$ heating systems based on circulation of steam are more efficient in warming a building than those based on circulation of hot water