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…

Two blocks of masses m and $\displaystyle \mathrm{M},(\mathrm{M}>\mathrm{m})$, 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 ( $\displaystyle \mu=$ coefficient of friction between the two blocks) A. The time period of small oscillation of the two blocks is $\displaystyle T=2 \pi \sqrt{\frac{(m+M)}{k}}$ B. The acceleration of the blocks is $\displaystyle a=-\frac{k x}{M+m}$ ( $\displaystyle x=$ displacement of the blocks from the mean position) C. The magnitude of the frictional force on the upper block is $\displaystyle \frac{m \mu|x|}{M+m}$ D. The maximum amplitude of the upper block, if it does not slip, is $\displaystyle \frac{\mu(M+m) g}{k}$ E. Maximum frictional force can be $\displaystyle \mu(\mathrm{M}+\mathrm{m}) \mathrm{g}$. Choose the correct answer from the options given below: