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Q.

The refractive index of diamond is $2$ . The velocity of light (in cm/sec) in diamond will be:

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a

6 \times 1 0^{10}

b

2 \times 1 0^{13}

c

1.5 \times 1 0^{10}

d

3 \times 1 0^{10}

answer is C.

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Detailed Solution

Velocity of light in vacuum

= 3 \times 1 0^{10} cm / \sec

Velocity in diamond = Velocity in vacuum/refractive index of diamond
Velocity of light in diamond

= \frac{3 \times 1 0^{10}}{2}

= 1.5 \times 1 0^{10} cm / \sec

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The refractive index of diamond is 2. The velocity of light (in cm/sec) in diamond will be: