The velocity of a body is given by the equation V= at +bt2
+c t3
. Find the
dimension of a, b and c.
Answers
Answer:As, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correct option is (D)
As, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correct option is (D)
Answered By
As, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correct option is (D)
Answered ByAs, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correct option is (D)
Answered ByAs, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correct option is (D)
Answered ByAs, v=
t
A
+Bt
2
+Ct
3
So, we can write the dimensional equation as:
dim(v)=dim(Bt
2
)
∴dim(B)=
dim(t
2
)
dim(v)
=
[T
2
]
[LT
−1
]
=[LT
−3
]
⇒dim(B)=[M
0
LT
−3
]
Hence, the correc