1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Physics
Work-Energy Theorem
position of a...
Question
position of a body with acceleration 'a' is given by x= Ka to the power m into t to the power n , here t is time. the values of m and n are: (K is dimensionless )
Open in App
Solution
Dear Student,
x
=
ka
m
t
n
Dimesional
formula
of
x
=
M
0
L
1
T
0
Dimesional
formula
of
a
=
M
0
L
1
T
-
2
Dimesional
formula
of
t
=
M
0
L
0
T
1
M
0
L
1
T
0
=
M
0
L
1
T
-
2
m
×
M
0
L
0
T
1
n
M
0
L
1
T
0
=
M
0
L
m
T
-
2
m
×
M
0
L
0
T
n
M
0
L
1
T
0
=
M
0
+
0
L
m
+
0
T
-
2
m
+
n
Compare
the
coefficients
,
m
=
1
-
2
m
+
n
=
0
-
2
1
+
n
=
0
n
=
2
Suggest Corrections
0
Similar questions
Q.
Position of a body with acceleration a is given by
x
=
k
a
m
t
n
, here t is time, find the dimension of m and n.
Q.
A body of mass
m
is accelerated uniformly from rest to a speed
v
in a time
T
. The instantaneous power delivered to the body as a function of time, is given by:
Q.
Assertion :Emmisivity of any body (
e
) is equal to its absorptive power (
a
). Reason: Both the quantities are dimensionless.
Q.
A body starts from rest and is accelerated by a force
F
=
k
t
(
N
)
. Options given below show the variation of power with time. Find the correct option related to the above case.
Q.
The position
x
of a body as a function of time
t
is given by the equation:
x
=
2
t
3
−
6
t
2
+
12
t
+
16
The acceleration of the body is zero at time
t
is equal to
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
kinetic Energy
PHYSICS
Watch in App
Explore more
Work-Energy Theorem
Standard IX Physics
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