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Q.

The speed of a particle executing SHM is given by the equation v2=1449x2  then the wrong statements among the following is 

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a

Amplitude of the particle is 4 units.

b

Time period is π3 units.

c

Maximum velocity is 12 units.

d

Maximum acceleration is 36 units.

answer is B.

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Detailed Solution

maximum velocity in SHM is at x = 0 that is when there is no displacement. 
Thus putting x = 0, the maximum velocity comes out to be = 12 units 
V=1449x2=342x2 
Comparing with the equation V=ωA2x2  we get  ω=3   and  A=4 

maximum velocity =Aω=3×4=12 units
As a result T = 2π/3  
Also we know acceleration =  ω2x  in the case of SHM
For maximum acceleration x=A=4  which gives us maximum acceleration as 36 units, 
Hence option 2 is wrong.

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