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Q.

Two bodies of masses 15 gm and 25 gm are connected by means of a string of length 40 cm and mass 10 gm. The string is made to pass over a smooth massless pulley. Initially the two bodies are kept at the same level and released. By the time the heavier mass descends by 10 cm, the acceleration of the system,
 

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a

Increases by a factor 1.5

b

Increases by a factor 3

c

Decreases

d

Remains constant

answer is C.

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Detailed Solution

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a=302050g=g5
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a1=32.57.550ga1=3g/10a1a=3g/10g/5=3×5̸102
a1 increases by a factor 32

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