| Direction: Question are Assertion - Reaction type. Each of these contains two statements: Statement I (Assertion), Statement II (Reason). Each of these questions also has four alternative choices, only one of which is correct. You have to select the correct choices from the codes [a], [b], [c] and [d] given below: |
| Statement I: The fundamental units of velocity of light is \[3\times {{10}^{8}}\] m/s and acceleration. Due to gravity is \[10\text{ }m/{{s}^{2}}\] and the mass of proton is \[1.67\times {{10}^{-27}}\text{kg}\text{.}\] |
| Statement II: The value of time in such a system is \[3\times {{10}^{7}}\] s. |
A) Statement I is true; Statement II is true: Statement II is not a correct explanation of Statement I.
B) Statement I is true; Statement II is false.
C) Statement I is false; Statement II is true.
D) Statement I is true; Statement II is true; Statement II is the correct explanation for Statement I.
Correct Answer: A
Solution :
\[[c]=[L{{T}^{-1}}]=3\times {{10}^{8}}\text{m/s}\] And \[[g]=[L{{T}^{-2}}]\] \[=10\,\text{m/}{{\text{s}}^{2}}\] So, \[\frac{c}{g}=\frac{[L{{T}^{-1}}]}{[L{{T}^{-2}}]}=T\] \[=\frac{3\times {{10}^{8}}}{10}=3\times {{10}^{7}}s\] So, \[T=3\times {{10}^{7}}s\]
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