1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Operations on Rational and Irrational Numbers
A body is in ...
Question
A body is in
S
H
M
with period
T
when oscillated from a freely suspended spring. If this spring is cut in two parts of length ratio
1
:
3
& again oscillated from the two parts separately, then the periods are
T
1
&
T
2
then find
T
1
/
T
2
Open in App
Solution
R.E.F image
F
=
−
k
l
a
=
−
k
m
l
⇒
w
=
√
k
m
⇒
T
=
2
π
√
m
k
for
l
/
4
:
−
F
=
−
k
4
l
⇒
a
=
−
k
4
m
l
⇒
w
=
√
k
4
m
l
⇒
w
=
√
k
4
m
⇒
T
1
=
2
π
√
4
m
k
for
3
l
/
4
:
−
F
=
−
3
k
4
l
⇒
a
=
−
3
k
4
m
l
⇒
w
=
√
3
k
4
m
⇒
T
2
=
2
π
√
4
m
3
k
So,
T
1
T
2
=
2
π
√
4
m
k
2
π
√
4
m
3
k
⇒
T
1
T
2
=
√
3
1
Suggest Corrections
0
Similar questions
Q.
A body is in SHM with period
T
when oscillated from a freely suspended spring.If this spring is cut in two parts of length ratio 1:3 & again oscillated from the two parts separately,then the periods are
T
1
&
T
2
then
T
1
T
2
is given as
1
√
x
. Find
x
.
Q.
A uniform spring has certain mass suspended from it and its period for vertical oscillation is
T
1
. The spring is now cut into two parts having the lengths in the ratio of 1 : 2 and a mass m is suspended with these two springs as shown in the figure. Now, time period is
T
2
. The ratio
T
1
/
T
2
is:
Q.
T
1
is the time period of oscillation of a body suspended from a spring and
T
2
is the time period of oscillation of the same body suspended from another spring. If the same body suspended from a series combination of the same two springs, then its time period of oscillation is:
Q.
A uniform spring has a certain mass suspended from it and its period for vertical oscillations is
T
1
. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations now is
T
2
. The ratio
T
2
T
1
is
Q.
A mass is suspended separately by two springs and the time periods in the two cases are
T
1
and
T
2
.
If the same mass be suspended by connecting the two springs in parallel then the time period of oscillations is
T
p
and when the two springs are connected in series then the time period of oscillations is
T
s
. Then select the correct relation(s).
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Identities for Irrational Numbers
MATHEMATICS
Watch in App
Explore more
Operations on Rational and Irrational Numbers
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app