The Earth is approximately 0.1496 terameters (Tm) away from the Sun. Light tal about 3.336 nanoseconds to travel 1 meter. (a) Express 0.1496 Tm in km, giving your answers in standard form. (b) Calculate the time taken, in seconds, correct to 3 significant figures, for ligh to travel from the Sun to the Earth.

To express 0.1496 terameters (Tm) in kilometers (km), we need to convert terameters to kilometers. Since 1 terameter is equal to \(10^6\) kilometers, we multiply 0.1496 Tm by \(10^6\): \[ 0.1496 \, \text{Tm} = 0.1496 \times 10^6 \, \text{km} = 1.496 \times 10^5 \, \text{km}. \] Now, to calculate the time taken for light to travel from the Sun to the Earth, we'll first convert the distance to meters: \[ 0.1496 \, \text{Tm} = 0.1496 \times 10^{12} \, \text{m} = 1.496 \times 10^{11} \, \text{m}. \] Now using the given information that light takes approximately 3.336 nanoseconds to travel 1 meter, we can calculate the total time in seconds: Time taken (in seconds) = Distance (in meters) × Time per meter: \[ 1.496 \times 10^{11} \, \text{m} \times 3.336 \times 10^{-9} \, \text{s/m} \approx 0.499 \, \text{s}. \] Thus, the time taken for light to travel from the Sun to Earth is approximately 0.499 seconds, which, when rounded to 3 significant figures, is 0.499 seconds.