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Statement-I: Dimensional analysis can gi...

Statement-I: Dimensional analysis can give us the numerical value of proportionality constants that may appear in an algebraic expression.
Statement-II: Dimensional analysis make use of the fact that dimensions can be treated as algebraic quantities.

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The method of dimensional analysis can be used to derive which of the following relations?

The method of dimensional analysis can be used to derive which of the following relations ?

Using dimensional analysis the resistivity in terms of fundamental constants h, m_(e), c, e, epsilon_(0) can be expressed as

Assertion: The given equation x = x_(0) + u_(0)t + (1)/(2) at^(2) is dimensionsally correct, where x is the distance travelled by a particle in time t , initial position x_(0) initial velocity u_(0) and uniform acceleration a is along the direction of motion. Reason: Dimensional analysis can be used for cheking the dimensional consistency or homogenetly of the equation.

Statement-I : When an algebraic equation has been derved, it is advisable to check it for dimensional consistency. Statement-II : This guarantee that the equation is correct.

Statement-I : A p-n junction with reverse bias can be used as a photodiode to measure light intensity. Statement-II : In a reverse bias condition the current in small but it is more sensitive to changes in incident light intensity.

If velocity, force and time are taken as the fundamental quantities, them using dimensional analysis choose the correct dimensional formula for mass among the following. [K is a dimensionless constant]

Statement-I: If a physical quantity has a unit, it must not be dimensionless. Statement-2: A formula derived using dimensional but no unit.

SL ARORA-Units and Measurements-Exercise
  1. Write a note on radar method to measure larger distances.

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  2. COMPARISION OF INERTIAL MASS AND GRAVITATIONAL MASS

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  3. Statement-I: Dimensional analysis can give us the numerical value of p...

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  4. What is meant by error in measurements ? Give an example.

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  5. Assertion : Absolute error may be negative or positive. Reason : Abs...

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  6. How is absolute error different from mean absolute error?

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  7. If the relative error in measuring the radius of a circular plane i...

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  8. The percentage error in measurement of a physical quantity [m given by...

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  9. Show that the percentage error in the nth root of a number is approxim...

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  10. The equation of state for real gas is given by ((p + (a)/(V^(2))(V - b...

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  11. Pressure depends on distance as, P = (alpha)/(beta)exp((-alpha z)/(k t...

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  12. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

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  13. (a) In the formula X=3YZ^(2), X and Z have dimensions of capcitnce and...

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  14. a quantity X is given by epsilon(0)L(DeltaV)/(Deltat) where in(0) is ...

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  15. Which of the following sets have different dimensions ?

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  16. A cube has a side of length 1.2xx10^(-2)m. Calculate its volume

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  17. A student performs an experiment an for determination of g(=(4pi^(2)l)...

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  18. A student performs an experiment to determine the Young's modulus of a...

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

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  20. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

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