SATHEE: Oscillations - Result Question 12

Oscillations - Result Question 12

15. Two simple harmonic motions of angular frequency 100 and $1000 r a d s^{- 1}$ have the same displacement amplitude. The ratio of their maximum accelerations is:

(a) $1 : 10$

(b) $1 : 10^{2}$

(d) $1 : 10^{4}$

[2008]

Show Answer

Answer:

Correct Answer: 15. (b)

Solution:

(b) Maximum acceleration of a particle in the simple harmonic motion is directly proportional to the square of angular frequency i.e.,

i.e., $a μ w^{2}$

$\begin{aligned} ∴ \frac{a_{1}}{a_{2}} = \frac{ω_{1}^{2}}{ω_{2}^{2}} = \frac{(100)^{2}}{(1000)^{2}} = \frac{1}{100} \\ \Rightarrow a_{1} : a_{2} = 1 : 10^{2} . \end{aligned}$

Oscillations - Result Question 12

15. Two simple harmonic motions of angular frequency 100 and $1000 r a d s^{- 1}$ have the same displacement amplitude. The ratio of their maximum accelerations is:

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Oscillations - Result Question 12

15. Two simple harmonic motions of angular frequency 100 and 1000rads−1 have the same displacement amplitude. The ratio of their maximum accelerations is:

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

15. Two simple harmonic motions of angular frequency 100 and $1000 r a d s^{- 1}$ have the same displacement amplitude. The ratio of their maximum accelerations is: