If -1 n - - 6 - n- N- then the maximum value of n is-

The correct option is B 5 Given, #160; ^ 1 n π #160; gt;π #160; 6 , n∈ N Taking on both the sides nπ lt;(π6) ...( θ ...

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Standard XII

Physics

Motion Under Gravity

If -1 n π >...

Question

If ${cot}^{- 1} \frac{n}{π} > \frac{π}{6}, n \in N$ , then the maximum value of $n$ is,

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Solution

The correct option is B $5$
Given, ${cot}^{- 1} \frac{n}{π} > \frac{π}{6}, n \in N$

Taking $cot$ on both the sides
$\frac{n}{π} < cot (\frac{π}{6})$ ...( $cot θ$ is a decreasing function).
$\frac{n}{π} < \sqrt{3}$
$n < π \sqrt{3}$
$n < (3.14) (1.73)$
$n < 5.44$
Hence the maximum value of $n$ will be $5$ .

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If cot−1nπ>π6,n∈N, then the maximum value of n is,

The correct option is B 5Given, cot−1nπ>π6,n∈NTaking cot on both the sidesnπ<cot(π6) ...(cotθ is a decreasing function).nπ<√3n<π√3n<(3.14)(1.73)n<5.44Hence the maximum value of n will be 5.

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