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A boy recalls the relation for relativis...

A boy recalls the relation for relativistic mass (m) in terms of rest mass `(m_(0))` velocity of particle V, but forgets to put the constant c (velocity of light). He writes `m=(m_(0))/((1-v^(2))^(1//2))` correct the equation by putting the missing ‘c’.

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To correct the equation for relativistic mass, we need to ensure that the dimensions on both sides of the equation match. The original equation provided by the boy is: \[ m = \frac{m_0}{(1 - v^2)^{1/2}} \] ### Step-by-Step Solution: 1. **Identify the Original Equation**: The boy wrote: ...
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A famous relation in phyics relates the moving mass m to the rest mass m_(0) of a particle in terms of its speed v and the speed of light c .( This relation first arose as a consequence of the special theory of relativity due to Albert Einstein). A body recalls the relation almost correctly but forgets where to put the constant c . He writes m = (m_(0))/((1- V^(2))^(1//2)) . Guess where to put the missing c .

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CBSE COMPLEMENTARY MATERIAL-DIMENSIONS AND MEASUREMENT -M.C.Q PHYSICAL WORLD & MEASUREMENT
  1. A boy recalls the relation for relativistic mass (m) in terms of rest ...

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  2. Which of the following is not a unit of distance? (i) Light year (ii...

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  3. The dimensional formula for ω in the relation y = A Sin ωt is

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  4. Dimensional formula for curie is

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  5. Which of the following pairs of physical quantites does not have same ...

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  6. If momentum (p), area (A) and time(t) are taken to be fundamental quan...

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  7. Out of 4.0 and 4.00, which is more accurate?

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  8. The speed (v) of sound in a gas is given by v = k P^(x) ρ^(y) Where ...

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  9. If percentage errors in the measurement of mass and volume of an objec...

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  10. Given that int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a)) wher...

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  11. In the standard equation S(nth)=u+(a)/(2)(2n-1) what dimensions do you...

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  12. Given : force = (alpha)/("density" + beta^3). What are the dimensions ...

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  13. The dimensions of intensity of wave are

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  14. The dimensions of light year is

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  15. The time dependance of a physical quantity 'P' is given by P=P(0)exp(-...

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  16. Two quantities A and B have different dimensions. Which mathematical o...

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  17. Which one of the following pair of quantities has same dimension ?

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

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

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  20. The number of significant figures in 30.00 m are

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  21. Which of the following measurement is most precise?

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