If \(u_1\) and \(u_2\) are the units selected in two systems of measurement and \(n_1\) and \(n_2\) are their numerical values, then:

1. \(n_1u_1=n_2u_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \)
2. \(n_1u_1+n_2u_2=0\)
3. \(n_1n_2=u_1u_2\)
4. \((n_1+u_1)=(n_2+u_2)\)

Subtopic:  Dimensions |
 85%
Level 1: 80%+
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Curie is a unit of 

1. Energy of γ-rays

2. Half life

3. Radioactivity

4. Intensity of γ-rays

Subtopic:  Dimensions |
 71%
Level 2: 60%+
PMT - 1992
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The unit of e.m.f. is 

1. Joule

2. Joule-Coulomb

3. VoltCoulomb

4. Joule/Coulomb

Subtopic:  Dimensions |
Level 3: 35%-60%
PMT - 1986
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Unit of self inductance is [This question includes concepts from 12th syllabus]

1. Newton-secondCoulomb×Ampere

2. Joule/Coulomb×SecondAmpere

3. Volt×metreCoulomb

4. Newton×metreAmpere

Subtopic:  Dimensions |
 58%
Level 3: 35%-60%
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To determine Young's modulus of a wire, the formula is Y=FA×LΔL; where L = length, A = area of cross-section of the wire, ΔL=change in length of the wire when stretched with a force F. The conversion factor to change it from CGS to MKS system is

1. 1

2. 10

3. 0.1

4. 0.01

Subtopic:  Dimensions |
 51%
Level 3: 35%-60%
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Given the equation \(\left(P+\frac{a}{V^2}\right)(V-b)=\text {constant}\). The units of \(a\) will be: (where \(P\) is pressure and \(V\) is volume)
1. \(\text{dyne} \times \text{cm}^5\)
2. \(\text{dyne} \times \text{cm}^4\)
3. \(\text{dyne} / \text{cm}^3\)
4. \(\text{dyne} / \text{cm}^2\)

Subtopic:  Dimensions |
 61%
Level 2: 60%+
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The units of angular momentum are

1. kgm2/s2

2. Joules

3. Joule/s

4. kgms2

Subtopic:  Dimensions |
Level 3: 35%-60%
PMT - 2000
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In C.G.S. system the magnitutde of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

1. 0.036

2. 0.36

3. 3.6

4. 36

Subtopic:  Dimensions |
 54%
Level 3: 35%-60%
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Faraday is the unit of

1. Charge

2. emf

3. Mass

4. Energy

Subtopic:  Dimensions |
 68%
Level 2: 60%+
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SI unit of permittivity is:

1. C2m2N1

2. C1m2N2

3. C2m2N2

4. C2m2N1

Subtopic:  Dimensions |
 65%
Level 2: 60%+
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