NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2461 Solution: The vectors $ {A}$ and $ {B}$ are such that \(| {A}+ {B}| = …

QAIPMT-2006-Ph-2461: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2461 Solution: The vectors $ {A}$ and $ {B}$ are such that \(

The vectors

\vec{A}

and

\vec{B}

are such that

|\vec{A}+\vec{B}| = |\vec{A}-\vec{B}|

. The angle between the two vectors is

45^\circ

90^\circ

60^\circ

75^\circ

Multiple Choice Options

A $T \propto {1 \over {\sqrt m }}$ T _ m _ 1 _
B $T \propto \sqrt \rho$ T _ _ _
C $T \propto {1 \over {\sqrt A }}$ T _ A _ 1 _
D $T \propto {1 \over \rho }$ T _ _ 1 _

Step-by-Step Verified Solution

Let l be the length of block immersed in liquid as shown in the figure. When the block is floating, _ mg = Al _ m If the block is given vertical displacement y then the effective restoring force is F = _ [ A ( l + y ) _ g _ m g ] = _ [ A ( l + y ) _ g _ A l _ g ] = _ A l _ g y Restoring force = _ [ A l _ g ] y . As this F is directed towards its equilibrium position of block, so if the block is left free, it will execute simple harmonic motion. Here inertia factor = mass of block = m Spring factor = A _ g _ Time period = T = 2 � m A _ g i.e. T _ 1 A

QAIPMT-2006-Ph-2461: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2461 Solution: The vectors \( {A}\) and \( {B}\) are such that \(

Multiple Choice Options

Step-by-Step Verified Solution

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