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Dimensions and Dimensional Analysis

Question

Suppose a quantity x can be dimensionally represented in terms of M, L and $$T$$ that is, $$[x]=M^aL^bT^c$$. The quantity mass.

A

Can never be dimensionally represented in terms of L, T and x

B

Can always be dimensionally represented in terms of L, T and x

C

May be represented in terms of L, T and x if $$a=0$$

D

May be represented in terms of L, T and x if $$a\neq 0$$

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Solution

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Correct option is D. May be represented in terms of L, T and x if $$a\neq 0$$

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Similar Questions

Q1

A physical quantity

x

can be dimensionally represented in terms of

M, L

and

T

that is

x = M^{a} L^{b} T^{c}

. The quantity time

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Q2

A physical quantity

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x = M^{a} L^{b} T^{c}

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Q3

Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is,

[x] = M^{a} L^{b} T^{c}

. The quantity mass
(a) can always be dimensionally represented in terms of L, T and x,
(b) can never be dimensionally represented in terms of L, T and x,
(c) may be represented in terms of L, T and x if a = 0,
(d) may be represented in terms of L, T and x if

a \neq 0

.

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Q4

Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is,

[x] = M^{a} L^{b} T^{c}

. The quantity mass
(a) can always be dimensionally represented in terms of L, T and x,
(b) can never be dimensionally represented in terms of L, T and x,
(c) may be represented in terms of L, T and x if a = 0,
(d) may be represented in terms of L, T and x if

a \neq 0

.

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Q5

A quantity is represented by

X = M^{a} L^{b} T^{c}

. The

%

error in measurement of

M

,

L

and

T

are

α

%,

β

% and

γ

% respectively. The maximum

%

error in

X

would be:

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