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Which of the following following is smal...

Which of the following following is smallest unit?

A

Millimeter

B

Angstrom

C

Fermi

D

Metre

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The correct Answer is:
To determine which of the given units is the smallest, we need to convert all the units into the same base unit, which in this case will be meters (m). ### Step-by-Step Solution: 1. **Identify the Units**: The units we need to compare are millimeters (mm), micrometers (μm), and Fermis (fm). 2. **Convert Each Unit to Meters**: - **Millimeter (mm)**: \[ 1 \text{ mm} = 10^{-3} \text{ m} \] - **Micrometer (μm)**: \[ 1 \text{ μm} = 10^{-6} \text{ m} \] - **Fermi (fm)**: \[ 1 \text{ Fermi} = 10^{-15} \text{ m} \] 3. **Compare the Values**: Now we have the following conversions: - \(1 \text{ mm} = 10^{-3} \text{ m}\) - \(1 \text{ μm} = 10^{-6} \text{ m}\) - \(1 \text{ Fermi} = 10^{-15} \text{ m}\) 4. **Determine the Smallest Unit**: To find the smallest unit, we look at the powers of ten: - \(10^{-3}\) (mm) - \(10^{-6}\) (μm) - \(10^{-15}\) (fm) The smallest exponent (most negative) is \(-15\), which corresponds to the Fermi. 5. **Conclusion**: Therefore, the smallest unit among the given options is: \[ \text{1 Fermi} \] ### Final Answer: The smallest unit is **1 Fermi**.

To determine which of the given units is the smallest, we need to convert all the units into the same base unit, which in this case will be meters (m). ### Step-by-Step Solution: 1. **Identify the Units**: The units we need to compare are millimeters (mm), micrometers (μm), and Fermis (fm). 2. **Convert Each Unit to Meters**: - **Millimeter (mm)**: ...
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A2Z-UNIT, DIMENSION AND ERROR ANALYSIS-Chapter Test
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  2. The dimensions of shear modulus are

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  3. The dimension of ((1)/(2))epsilon(0)E^(2) (epsilon(0) : permittivity o...

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  4. In a system of units if force (F), acceleration (A) and time (T) are t...

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  5. Unit of (CV)/(rho epsilon(0)) are of (C = capacitance, V = potential...

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  6. The wavelength associated with a moving particle depends upon p^(th) p...

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  7. The pair (s) of physical quantities that do not have the same dimensio...

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  8. L,C and R represent the physical quantities inductance, capacitance an...

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  9. A wire has a mass 0.3+-0.003g, radius 0.5+-0.005mm and length 6+-0.06c...

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  10. A body travels uniformly a distance of ( 13.8 +- 0.2) m in a time (4.0...

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  11. The fundamental unit of quantity of metter is

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  12. If equation int (dt)/(sqrt(3a - 2t^(2))) = a^(x) sin ^(-1) ((r^(2))/(a...

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  13. Drift speed of electron inside the metallic conductor is v(A) = eE^(y)...

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  14. If unit of mass become 2 times the unit of length becomes 4 time and t...

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  15. A stone lying at rest in a river The minimum mass of stone, m = krhov^...

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  16. A student writes four different expression for the displacement y in a...

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  17. If the unit of velocity is run , the unit of time is second and unit o...

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  18. If force F velocity V and time T are taken as fundamental units, find ...

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  19. A student determins a dimensionless quantities B = (E^(n))/(2 epsilon(...

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  20. To find the distance d over which a signal can be seen clearly in fogg...

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  21. Acceleration due to gravity on the surface of the earth is g = (GM)/(R...

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