If the acceleration due to gravity is 10 m

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If the acceleration due to gravity is $10\,m{s^{ - 2}}$ and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is

A

$360000$

B

$72000$

C

$36000$

D

$129600$

If the acceleration due to gravity is $10\,m{s^{ - 2}}$ and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is

${n_2} = {n_1}{\left[ {\frac{{{L_1}}}{{{L_2}}}} \right]^1}{\left[ {\frac{{{T_1}}}{{{T_2}}}} \right]^{ - 2}}$$ = 10{\left[ {\frac{{meter}}{{km}}} \right]^1}{\left[ {\frac{{\sec }}{{hr}}} \right]^{ - 2}}$

${n_2} = 10{\left[ {\frac{m}{{{{10}^3}m}}} \right]^1}{\left[ {\frac{{\sec }}{{3600\sec }}} \right]^{ - 2}}$$ = 129600$