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Physics Newton's Laws of Motion Mix MCQ (Single Correct)

Sixteen beads in a string are placed on a smooth inclined plane of inclination sin -1 (1/3) such that some of them lie along the incline whereas the rest hang over the top of the plane. If acceleration at first bead is g/2, the arrangement of beads is that

A
12 hangs vertically.
B
10 lie along inclined plane.
C
8 lie along inclined plan
D
10 hangs vertically.

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Verified by Experts
The correct answer is:
D

If n balls each of mass m are hanging vertically then, nmg – T = nma =

or T = ……. (i)

also T – (16 - n) mg sin θ θ

= (16 - n) mg/2

on - (16 - n) mg = (16 - n)

or n

or n = = 10

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