TS EAMCET · Physics · Laws of Motion
An infinite number of masses are placed on a frictionless table and they are connected via massless strings. Their masses follow the sequence, \(m, \frac{m}{2}, \frac{m}{6}, \ldots \ldots \ldots . . . \frac{m}{n !}, \ldots \ldots . .\). and they are further connected to a mass \(m\) that hangs over a massless pulley. The acceleration of the hanging mass is 
- A \(\frac{g}{e-1}\)
- B \(\frac{g}{e+1}\)
- C \(\frac{g}{e}\)
- D \(\frac{g}{2 e}\)
Answer & Solution
Correct Answer
(C) \(\frac{g}{e}\)
Step-by-step Solution
Detailed explanation
The given situation is shown in the following figure Effective mass of the system of \(n\) masses placed on the table, \(M=m+\frac{m}{2}+\frac{m}{6}+\ldots+\frac{m}{n !}\) \(=m\left(1+\frac{1}{2}+\frac{1}{6}+\ldots+\frac{1}{n !}\right)\)…
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