Which of the following pairs represent units of the same physical quantity ?
1. kelvin and joule
2. kelvin and calorie
3. newton and calorie
4. joule and calorie.
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe radius of a circle is stated as 2.12 cm. Its area should be written as:
1. 14 cm2
2. 14.1 cm2
3. 14.11 cm2
4. 14.1124 cm2
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyChoose the correct statement(s) :
(a) All quantities may be represented dimensionally in terms of the base quantities
(b) A base quantity cannot be represented dimensionally in the terms of the rest of the base quantities
(c) The dimension of a base quantity in other base quantities is always zero
(d) The dimension of a derived quantify is never zero in any base quantity
Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (a), (c) and (d)
4. None of the above
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyChoose the correct statement(s) :
(a) A dimensionally correct equation may be correct
(b) A dimensionally correct equation may be incorrect
(c) A dimensionally incorrect equation may be correct
(d) A dimensionally incorrect equation may be incorrect
Choose the correct option:
1. (a), (b) and (c)
2. (a), (b) and (d)
3. (b), (c) and (d)
4. None of these
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe dimensions of ML–1T–2 may correspond to
(a) work done by a force
(b) linear momentum
(c) pressure
(d) energy per unit volume
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. None of the above
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology\(\int \frac{\mathrm{dx}}{\sqrt{2 \mathrm{ax}-\mathrm{x}^{2}}}=\mathrm{a}^{\mathrm{n}} \sin ^{-1}\left[\frac{\mathrm{x}}{\mathrm{a}}-1\right]\)
The value of n is
You may use dimensional analysis to solve the problem.
1. 0
2. -1
3. 1
4. none of these
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA unitless quantity
1. never has a nonzero dimension
2. always has a nonzero dimension
3. may have a nonzero dimension
4. does not exist
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA dimensionless quantity
1. never has a unit
2. always has a unit
3. may have a unit
4. does not exist
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologySuppose a quantity x can be dimensionally represented in terms of M, L and T that is [x] = Ma Lb Tc. The quantity mass
1. can always be dimensionally represented in terms of L, T and x
2. can never be dimensionally represented in terms of L, T and x
3. may be represented in terms of L, T and x if a = 0
4. may be represented in terms of L, T and x if a ≠ 0
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then
1. \(n\propto size~of~u\)
2. \(n\propto u^2\)
3. \(n\propto \sqrt u\)
4. \(n\propto \frac{1}{u}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology