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Class 11 NEET Physics Oscillations Questions
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© examsnet.com
Question : 26
Total: 73
Out of the following functions representing motion of a particle which represents SHM
(1)
y
=
s
i
n
ω
t
−
c
o
s
ω
t
(2)
y
=
s
i
n
3
ω
t
(3)
y
=
5
c
o
s
(
3
Ï€
2
−
3
ω
t
)
(4)
y
=
1
+
ω
t
+
ω
2
t
2
(2011)
Only (1)
Only (4) does not represent SHM
Only (1) and (3)
Only (1) and (2)
Validate
Solution:
y
=
s
i
n
ω
t
−
c
o
s
ω
t
√
2
[
1
√
2
s
i
n
ω
t
−
1
√
2
c
o
s
ω
t
]
=
√
2
s
i
n
(
ω
t
−
Ï€
2
)
It represents a SHM with time period,
T
=
2
Ï€
ω
.
y
=
s
i
n
2
ω
t
=
1
4
[
3
s
i
n
ω
t
−
s
i
n
3
ω
t
]
It represents a periodic motion with time period
T
=
2
Ï€
ω
but not SHM.
y
=
5
c
o
s
(
3
Ï€
4
−
3
ω
t
)
=
5
c
o
s
(
3
ω
t
−
3
Ï€
4
)
  
[
∵
c
o
s
(
−
θ
)
=
c
o
s
θ
]
It represents a SHM with time period,
T
=
2
Ï€
3
ω
.
y
=
1
+
ω
t
+
ω
2
t
2
It represents a non-periodic motion. Also it is not physically acceptable as the
y
→
∞
as
t
→
∞
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