How does $H_{2} O_{2}$ behave as a bleaching agent.

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Solution

In acidic and basic media, hydrogen peroxide is strong oxidizing agent.
$2 H_{2} O_{2} \to 2 H_{2} O + O_{2}$
It breaks chemical bonds (oxidative degradation) of the chromophores (that produce colour) in the cloth. Due to this, visible light is not absorbed and the cloth gets whitened.

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