Question

Potential energy of a system is given by U=9-(x-3)^2 J. Mark the correct statement(s)
i. The Maximum value of potential energy is 9J
ii. At x=3m, potential energy is Maximum
iii. At x=3m, potential energy is Minimum
iv. At x=0, potential energy is Maximum
Options-
a) (ii) and (iii)
b) (i) and (ii)
c) (i) only
d) (i) and (iv)

Answer 1

---------------------------------------HEY DEAR----------------------------

HERE IS YOUR ANSWER......

B. OPTION IS RIGHT

REASON: AS WE KNOW  POTENTIAL ENERGY = 9- (X-3)^2 J

               SO, IF X=3

               THEN .. U = 9J

HENCE ,

I WANNA SAY THAT THE POTENTIAL ENERGY IS ALWAYS DECRESING IF WE TAKE ANY OTHER VALUE OF X AS (X-3)^2 IS ALWAYS A POSITIVE QUANTITY . BECAUSE THERE IS SQUARE ON IT . SO ALWAYS SOMETHING WILL BE SUBSTRACTED FROM 9J HENCE ONLY ONE CASE IS THERE WHEN NOTHING IS SUBSTRACTED IT IS WHEN X=3

THEN POTENTIAL ENERGY IS MAXIMUM...

HOPE IT HELPS YOU...

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THANKS ..

MARK ME BRAINLIEST PLEASE....