Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Oscillations

Olympiad workbook · NSEP · Oscillations

When a body is suspended from a fixed point by a spring, the...

When a body is suspended from a fixed point by a spring, the angular frequency of its vertical oscillations is ω1\omega_1. When a different spring is used, the angular frequency is ω2\omega_2. The angular frequency of vertical oscillations when both the springs are used together in series is given by

Options

  1. Aω=[ω12+ω22]1/2\omega=\left[\omega_1^2+\omega_2^2\right]^{1 / 2}
  2. Bω=[(ω12+ω22)/2]1/2\omega=\left[\left(\omega_1^2+\omega_2^2\right) / 2\right]^{1 / 2}
  3. Cω=[ω12ω22/(ω12+ω22)]1/2\omega=\left[\omega_1^2 \omega_2^2 /\left(\omega_1^2+\omega_2^2\right)\right]^{1 / 2}
  4. Dω=[ω12ω22/2(ω12+ω22)]1/2\omega=\left[\omega_1^2 \omega_2^2 / 2\left(\omega_1^2+\omega_2^2\right)\right]^{1 / 2}

Correct answer

C. ω=[ω12ω22/(ω12+ω22)]1/2\omega=\left[\omega_1^2 \omega_2^2 /\left(\omega_1^2+\omega_2^2\right)\right]^{1 / 2}

Step-by-step solution

No Solution
Practice Oscillations on Quantrex Academy →

More from Oscillations

The diagram shows an oscillating block connected to two identical springs. The frequency… Olympiad workbookA simple pendulum has a bob of mass m and a light string of length l . The string is… Olympiad workbookOut of the following differential equations, one that correctly represents the motion of… Olympiad workbookAs shown in the figure, a block of mass m is suspended from a support with the help of a… Olympiad workbookA particle performs simple harmonic motion at a frequency f . The frequency at which its… Olympiad workbookA vertical spring of length l_0 and force constant K is stretched by l when a mass m is… Olympiad workbookTwo simple harmonic motions are given by x_1=a ω t+a ω t and x_2=a ω t+ a 3 ω t The ratio… Olympiad workbookPosition-time graph of a particle moving in a potential field is shown beside. If the… Olympiad workbook Full Oscillations list All Olympiad workbook PYQs