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Byju's Answer
Standard XII
Physics
Dimensional Analysis
If x = at +...
Question
If
x
=
a
t
+
b
t
2
, where
x
is the distance travelled by the body in kilometer while
t
is the time in seconds, then find the units of
b
.
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Solution
x
=
a
t
+
b
t
2
x
is in meter.
t
is in second.
Applying law of homogenity.
b
=
[
x
]
[
t
2
]
b
=
m
s
2
⇒
b
=
m
/
s
e
c
2
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