About how far apart must you hold your hands for them to be separated by 1.1 nano-light-second (the distance light travels in 1.1 ns)? assume that the speed of light is 2.998*108 m/s.



Answer :

1.1 Nano-light-second is equivalent to 32.978 cm. So, I have to hold my hand 32.978 cm apart, for them to be separated by 1.1 Nano-light-second.

1.1 Nano-light-second means the path light traveled in 1.1 nanoseconds. We know that if an object has speed v, then the distance traveled by that object in time t, is given by, s=vt

So,

Time, t= 1.1 ns= 1.1×10⁻⁹ s

Speed of light, v= 2.998×10⁸ m/s

Hence distance traveled by light in that time is

s = vt

s = (2.998x10⁸ m/s) (1.1x10⁻⁹ s)

s = .32978 m

s = 32.978 cm

Hence, 1.1 Nano-light-second is equivalent to 32.978 cm. Therefore, I have to hold my hand 32.978 cm apart, for them to be separated by 1.1 Nano-light-second.

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