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Which statement is incorrect about conservative field?why option one  is not correct.  i think according to work energy theorem option 1 is correct
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Asked by ashutosharnold1998 | 29 Sep, 2019, 21:24: PM
answered-by-expert Expert Answer
Yes. Option (1) is correct.
 
For example, if a particle is moved vertically up to a distance h  from initial velocity v1 to final velocity v2 ,
 
then change in kinetic energy ΔE = (1/2)m v12 - (1/2)m v22 = (1/2)m [ v12 - v22 ] ..................(1)
 
From equation of motion,    v22 = v12 - 2gh    or   [ v12 - v22 ] = 2gh ................(1)
 
hence from (1) and (2), we get , ΔE = (1/2)m v12 - (1/2)m v22 =  mgh
 
If we do similar analysis for projectile motion,  by finding difference of kinetic energy between
the highest point and the point of projection, we will  get the difference as potential energy.
 
Hence statement of option(1) is verified for two different paths.
Answered by Thiyagarajan K | 30 Sep, 2019, 12:17: PM

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