Statement-1 : Where two vibrating tuning forks having frequencies $256 H z$ and $512 H z$ are held near each other, beats cannot be heard.
Statement-2 : The principle of superposition is valid only if the frequencies of the oscillations are nearly equal.

Both the statements are true and statement-2 is the correct explanation of statement-1

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Both the statements are true but statement-2 is not the correct explanation of statement-1

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Statement-1 is true and statement-2 is false

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Statement-1 is false and statement-2 is true

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Solution

The correct option is B Statement-1 is true and statement-2 is false
For beats to be heard the two frequencies should be close to each other. When two frequencies are $f$ and $2 f$ , the beat frequency is $2 f - f = f$ which is the original frequency.

Thus no beats are heard. Principle of super position is valid for all frequencies.

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Similar questions

Q. Statement-1: When two vibrating tuning forks having frequencies 256 Hz and 512 Hz are held near each other, beats cannot be heard.

Statement-2: The principle of superposition is valid only if the frequencies of the oscillations are nearly equal.

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.

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

: Number of solution of

n | sin x | = m | cos x |

, where

m, n \in Z

(0, 2 π)

is independent of

m

and

n

.

Statement

2

: Multiplying trigonometric functions by constant changes only the range of the functions but period remains same.

Q. Statement - 1 : The statement

(p \lor q) \land \sim p

and

\sim p \land q

are logically equivalent.
Statement - 2 : The end columns of the truth table of both statements are identical.

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Statement-1 : Where two vibrating tuning forks having frequencies 256Hz and 512Hz are held near each other, beats cannot be heard.Statement-2 : The principle of superposition is valid only if the frequencies of the oscillations are nearly equal.

Statement-1 : Where two vibrating tuning forks having frequencies $256 H z$ and $512 H z$ are held near each other, beats cannot be heard.
Statement-2 : The principle of superposition is valid only if the frequencies of the oscillations are nearly equal.