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The time period T of a simple pendulum d...

The time period `T` of a simple pendulum depends on length `L` and acceleration due to gravity `g` Establish a relation using dimensions.

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To establish a relation for the time period \( T \) of a simple pendulum in terms of length \( L \) and acceleration due to gravity \( g \) using dimensional analysis, we can follow these steps: ### Step 1: Identify the quantities involved We have three quantities: - Time period \( T \) (which we need to find the relation for) - Length \( L \) - Acceleration due to gravity \( g \) ...
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CP SINGH-UNITS, DIMENIONS AND MEASUREMENTS-Exercises
  1. The time period T of a simple pendulum depends on length L and acceler...

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  2. Which of the following is not a dimensionless physical quatity?

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  3. Out of the following pair, which one NOT have identical dimensions is

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  4. The pairs of physical quantities that have the same dimensions is (are...

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  5. The physical quantities not having the same dimensions are

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  6. Which of the following sets have different dimensions ?

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  7. Which two of the following five physical parameter have the same dimen...

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  8. A physical quantity is measured and the result is expressed as nu wher...

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  9. The young's modulus of a material of wire is 12.6 xx 10^(11) "dyne"//c...

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  10. The dinesity of meterial in CGS system of mass is 4g cm^(3) in a syste...

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  11. A dimensionless quantity

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  12. Which of the following sets cannot enter into the list of fundamental ...

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  13. Choose the wrong option

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  14. Choose the wrong option.

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  15. Suppose a quantilty x can be dimensionally represented in terms of M,L...

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  16. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

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  17. The velocity v of a particle at time A is given by v = at+ (b)/(l +c) ...

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  18. A force F is given by F = at + bt^(2) , where t is time . What are the...

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  19. The position of a particle at time t is given by the relation x (t) = ...

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  20. The function f is given by f = A sin alpha x + B cos beta t, where x i...

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  21. The frequency of vibration of string is given by v = (p)/(2 l) [(F)/(m...

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