Assertion : If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes double.
Reason : The total energy is directly proportional to the amplitude of vibration of the harmonic oscillator.

If both assertion and reason are true and reason is the correct explanation of assertion.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

If both assertion and reason are true and reason is not the correct explanation of assertion.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

If assertion is true but reason is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

If both assertion and reason are false.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B If both assertion and reason are false.
The total mechanical energy of a simple harmonic oscillatory oscillating with amplitude a is
$E = \frac{1}{2} m ω^{2} a^{2} i . e . E \propto a^{2}$
Therefore energy is directly proportional to the square of amplitude of vibration of harmonic oscillator.

Suggest Corrections

Similar questions

SHM

\frac{1}{4} m ω^{2} A^{2}

\frac{1}{2} m ω^{2} A^{2}

^{2 +}

2 k_{B} T

Read the assertion and reason carefully to mark the correct option out of the options given below :

(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(d) If the assertion and reason both are false.

(e) If assertion is false but reason is true.

Assertion: Acetic acid does not undergo haloform reaction.

Reason: Acetic acid has no alpha hydrogens.

\to τ = \to r \times \to F b u t \to τ \neq \to F \times \to r .

Join BYJU'S Learning Program