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Initial decay rate of a radioactive substance with half-life h days and initial mass m0

The same question, asked 3 times: 10 May 2023 S1, 15 May 2023 S1, 13 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S1

    145
    A radio-active substance has a half-life of h days, then its initial decay rate is given by (where radio-active substance has initial mass m0m_0)

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  2. Question 2

    15 May 2023 S1

    114
    A radio-active substance has half-life of hh days, then its initial decay rate is given by. Note that at t=0,M=m0t=0, M=m_{0}

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  3. Question 3

    13 May 2024 S2

    140
    A radioactive substance, with initial mass m0m_0, has a half-life of hh days. Then its initial decay rate is given by

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