Specific heat of water is $4.2 \,J / g ^{\circ} C$. If light of frequency $3 \times 10^9 \,Hz$ is used to heat $400 \,gm$ of water from $20^{\circ} C$ to $40^{\circ} C$, the number of photons needed will be

  • A

    $1.69 \times 10^{29}$

  • B

    $1.69 \times 10^{28}$

  • C

    $2.80 \times 10^4$

  • D

    $2.80 \times 10^5$

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  • [AIPMT 1996]