Two springs, of force constants k_1 and k_2 , are connected to a mass m as shown. The frequency of oscillation of the mass is f . If both k_1 and k_2 are made four times their original values, the frequency of

Correct answer: D. 2 f aligned f & =(1)/(2 π) (k_1+k_2)/(m) f^ & =(1)/(2 π) 2 (k_1+k_2)/(m) =2 f aligned

JEE Main 2007

Exam: JEE Main
Year: 2007
Subject: Physics
Chapter: Oscillations

JEE Main 2007 · Physics · Oscillations

Two springs, of force constants k_1 and k_2 , are connected to a...

Two springs, of force constants

k_1

and

k_2

, are connected to a mass

\mathrm{m}

as shown. The frequency of oscillation of the mass is

\mathrm{f}

. If both

k_1

and

k_2

are made four times their original values, the frequency of oscillation becomes Two springs, of force constants k_1 and k_2 , are connected to a mass m as shown. The frequency of oscillation of the

Two springs, of force constants k_1 and k_2 , are connected to a mass m as shown. The frequency of oscillation of the

Options

A $\mathrm{f / 2}$
B $\mathrm{f / 4}$
C $4 \mathrm{f}$
D $2 \mathrm{f}$

Correct answer

D. $2 \mathrm{f}$

Step-by-step solution

\begin{aligned} f & =\frac{1}{2 \pi} \sqrt{\frac{k_1+k_2}{m}} \\ f^{\prime} & =\frac{1}{2 \pi} 2 \sqrt{\frac{k_1+k_2}{m}}=2 f\end{aligned}

Practice Oscillations on Quantrex Academy →

More from Oscillations

A tank contains two immiscible liquids of densities 6ρ and 2ρ . The higher density liquid… JEE Advanced 2026 The frequency of oscillation of a mass m suspended by a spring is v_1 . If the length of… JEE Main 2026 A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium… JEE Main 2026 A particle is executing simple harmonic motion. Its amplitude is A and time period is 5… JEE Main 2026 Match List-I with List-II. List-I List-II A. ^2 ω t I. Periodic with time period T =… JEE Main 2026 A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in… JEE Main 2026 The velocity of a particle executing simple harmonic motion along x -axis is described as… JEE Main 2026 The equation of motion of a particle is given by x = a (50t + (π)/(3)) cm. The particle… JEE Main 2026 Full Oscillations list All JEE Main PYQs