Question

the distance of a Galaxy from the Earth is 5.6*10to the power 25 metre. Assuming the speed of light be 3*10 to the power 8metre per second find the time taken by the light to travel this distance​

Answer 1

Question :-

Given above ↑

Answer :-

$\implies \: \boxed{ \sf \: \green{ t = }1.86 \times \red{ {10}^{17} \: s }\: } \:$

To Find :-

→ Time interwel

Used Formula :-

$\boxed{ \red{\boxed{ \blue{\star }}}} \sf \red{ \: \: \: \: speed \: = } \green{ \frac{ distance}{time \: taken \: } }$

Solution :-

According to the question -

$\to \sf \blue{speed \: = } 3 \red{ \times {10}^{8} \: \frac{m}{s} } \\ \\ \to \sf \red{distnace} \: = 5.6 \purple{ \times {10}^{25} \: m \: }$

Apply the given formula :-

$\to \sf \red{ 3 \times {10}^{8} }\: \frac{m}{s} = \frac{ \blue{5.6 \times {10}^{25}} \: m}{t \: \: } \\ \\ \to \sf \blue{t = } \frac{ \green{5.6 \times {10}^{25}} }{3 \times {10}^{8} } \: \: s \\ \\ \to \sf t = \red{1.86 \times {10}^{25 - 8} }\: \: s \\ \\ \to \boxed{ \sf \: \green{ t = }1.86 \times \red{ {10}^{17} \: s }\: }$