Physics And Measurement Question 226
Question: In a certain system of units, 1 unit of time is 5 sec, 1 unit of mass is 20 kg and 1 unit of length is 10m. In this system, one unit of power will correspond to-
Options:
A) 16 watts
B) $ \frac{1}{16} $ watts
C) 25 watts
D) $ \frac{1}{25} $ watts
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ 1sec*=5sec,1kg*=20kg,1m*=10m $
$ 1watt=1kgm^{2}{{\sec }^{-3}} $
$ =\frac{1}{20}kg*{{( \frac{1}{10}m* )}^{2}}{{( \frac{1}{5}\sec * )}^{-3}} $
$ =\frac{1}{20}\times \frac {1}{100}\times 125kg* m*^{2} \sec *^{-3}$=
$\frac{1}{16}watt* $
