Physics And Measurement Question 25
Question: If the acceleration due to gravity is $ 10m{{s}^{-2}} $ and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is
[Kerala PET 2002]
Options:
A) 360000
B) 72,000
C) 36,000
D) 129600
Show Answer
Answer:
Correct Answer: D
Solution:
$ n _{2}=n _{1}{{[ \frac{L _{1}}{L _{2}} ]}^{1}}{{[ \frac{T _{1}}{T _{2}} ]}^{-2}} $
$ =10{{[ \frac{meter}{km} ]}^{1}}{{[ \frac{\sec }{hr} ]}^{-2}} $
$ n _{2}=10{{[ \frac{m}{10^{3}m} ]}^{1}}{{[ \frac{\sec }{3600\sec } ]}^{-2}} $
$ =129600 $
