In the following questions two Statement - 1 (Assertion) and Statement - 2 (Reason) are provided. Each question has 4 choices (a), (b), (c) and (d) for its answer, out of which ONLY ONE is correct. Mark your responses from the following options:

Statement - 1 : The transition of electrons $n_{3} \to n_{2}$ in H - atom will emit radiation of higher frequency than $n_{4} \to n_{3}$ .

Statement - 2 : Principal shells $n_{2}$ $n_{3}$ have lower energy than $n_{4}$ .

Q. Statement

1

:
If

p

is a prime number

(p \neq 2)

, then

[(2 + \sqrt{5})^{p}] - 2^{p + 1}

is always divisible by

p

(where

[.]

denotes the greatest integer function).

Statement

2

:
If

n

is a prime, then

^{n} C_{1},^{n} C_{2},^{n} C_{3}, \dots,^{n} C_{n - 1}

must be divisible by

n

Choose the correct option.

Statement $1 : (p \land \sim q) \land (\sim p \land q)$ is a fallacy.

Statement $2 : (p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow\sim p)$ is a tautology.

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Assertion :Statement 1: The number of solution of n|sinx|=m|cosx| (wherem,n,ϵZ) in [0,2π] is independent of m and n Reason: Statement 2: Multiplying trigonometric function by a constant changes only the range of the function but period remains the same.

Assertion :Statement 1: The number of solution of $n | sin x | = m | cos x |$ $(w h e r e m, n, ϵ Z)$ in $[0, 2 π]$ is independent of m and n Reason: Statement 2: Multiplying trigonometric function by a constant changes only the range of the function but period remains the same.