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Question

The dimensions of specific resistance are:
  1. [ML3T2A1]
  2. [ML3T3A2]
  3. [ML2A1]
  4. [ML2T2A2]

A
[ML2T2A2]
B
[ML3T3A2]
C
[ML3T2A1]
D
[ML2A1]
Solution
Verified by Toppr

The correct option is B [ML3T3A2]
Resistance of a substance=R=ρlA
ρ=RAl
=VIAl
Dimension of V is [ML2T3A1]
Dimension of I is [A]
Dimension of A is [L2]
Dimenstion of l is [L]
Thus dimension of ρ is [ML3T3A2]

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Similar Questions
Q1
Match the following two columns:
Column IColumn II
A.Electrical resistance1.[ML3T3A2]
B.Electrical potential2.[ML2T3A2]
C.Specific resistance3.[ML2T3A1]
D.Specific conductance4.None of these

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Q2
Match the Column I with Column II.
Column I
(Physical quantity)
Column II
(Dimensional formula)
(A)Premittivity of free space(p)[M0L0T1]
(B)Radiant flux(q)[ML3T3A2]
(C)Resistivity(r)[ML2T3]
(D)Hubble constant(s)[M1L3T4A2]

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Q3
Match the following:
Table-1 Table-2
(A) L (P) [M0L0T2A0]
(B) Magnetic flux (Q) [ML2T2A1]
(C) LC (R) [ML2T2A2]
(D) CR2 (S) None

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Q4
Evaluate : (3a12)(3a12)
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Q5
Factorize :
3a212a
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