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Q.

A point sized sphere mass ‘m’ is suspended from a point using a string of length ‘l’. It is then pulled to a side till the string is horizontal and released. As the mass passes through the portion where the string is vertical, magnitude of its angular momentum is

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a

mℓgℓ

b

mℓ2gℓ

c

mℓgℓ/2

d

mℓ3gℓ

answer is B.

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Detailed Solution

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Applying law of conservation of energy 

12mv2=mgl
v=2gl

L=mvl

L=ml2gl

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A point sized sphere mass ‘m’ is suspended from a point using a string of length ‘l’. It is then pulled to a side till the string is horizontal and released. As the mass passes through the portion where the string is vertical, magnitude of its angular momentum is