Two blocks of masses m and M, (M > m), are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released, then (μ = coefficient of friction between the two blocks) A. The time period of small oscillation of the two blocks is T = 2π√(((m+M))/k) B. The acceleration of the blocks is a = -kx/(M+m) (x = displacement of the blocks from the mean position) C. The magnitude of the frictional force on the upper block is (mμ|x|)/(M+m) D. The maximum amplitude of the upper block, if it does not slip, is (μ(M+m)g)/k E. Maximum frictional force can be μ(M+m)g. Choose the correct answer from the options given below:

Oscillations and Waves: JEE Main 2025 Physics question

JEE Main 2025 · 3 Apr, Morning shift · Q37

JEE Main 20253 Apr, Morning shiftPhysicsHardOscillations and Waves185× since 2002

Two blocks of masses m and M, (M > m), are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released, then (

\mu

= coefficient of friction between the two blocks) A. The time period of small oscillation of the two blocks is

T = 2\pi\sqrt{\dfrac{(m+M)}{k}}

B. The acceleration of the blocks is

a = -\dfrac{kx}{M+m}

(

x

= displacement of the blocks from the mean position) C. The magnitude of the frictional force on the upper block is

\dfrac{m\mu|x|}{M+m}

D. The maximum amplitude of the upper block, if it does not slip, is

\dfrac{\mu(M+m)g}{k}

E. Maximum frictional force can be

\mu(M+m)g

. Choose the correct answer from the options given below:

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