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Q.

A small block of mass 'M' slides down from top edge 'A' of a smooth curved surface as shown in the figure. The surface becomes horizontal at edge 'B'. The maximum possible horizontal range for the body is

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a

H3

b

H2

c

H4

d

H

answer is B.

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Detailed Solution

velocity at B(u)=2(H−h)g

Range (R) =u.2hg

R=2(H−h).g.2hg

∴For RMax→dRdh=0

∴ddh(2(H−h).2h)=0

⇒h=H/2  

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