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QAIPMT-2011-Ph-1896: NEET 2011 Physics - Class 11 AIPMT-2011-Ph-1896 Solution: A parallel plate capacitor has a uniform electric field E in…
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A the energy stored in the capacitor is
Multiple Choice Options
- A Only (1)
- B Only (4) does not represent SHM
- C Only (1) and (3)
- D Only (1) and (2)
Step-by-Step Verified Solution
y = sin _ t � cos _ t
= 2 [ 1 2 sin _ _ t _ 1 2 cos _ _ t ]
= 2 sin _ ( _ t _ � 4 )
It represents a SHM with time period, T = 2 � _
y = sin 3 _ t = 1 4 [ 3 sin _ _ t _ sin _ 3 _ t ]
It represents a periodic motion with time period
T = 2 � _ but now SHM.
y = 5 cos _ ( 3 � 4 _ 3 _ t )
= 5 cos _ ( 3 _ t _ 3 � 4 ) [ _ cos _ ( _ _ ) = cos _ _ ]
It represents a SHM with time period, T = 2 � 3 _
y = 1 + _ t + _ 2 t 2
It represents a non-periodic motion. Also it is not physically acceptable as y _ � as t _ � .