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Test: Dimensional Analysis & Its Applications (NCERT) - Question 1

Checking the correctness of equations using the method of dimensions is based on

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 2

Using the principle of homogeneity of dimensions, which of the following is correct?

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 3

Which of the following relations is dimensionally incorrect?

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 4

Which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct dimensionally?

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 5

The displacement of a progressive wave is represented by y = A sin(ωt - kx) where x is distance and t is time. The dimensions of ω/k are same as those of the

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 6

If velocity of light c, Planck's constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 7

A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. What will be value of 5 J in this new system?

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 8

If the energy, E = G^{p} h^{q} c^{r} where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values o f p, q and r are, respectively

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 9

The equation of state of a gas is given by where p,V,T are pressure, volume and temperature respectively and a,b,c are constants. The dimensions of a and b are respectively

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Test: Dimensional Analysis & Its Applications (NCERT) - Question 10

The velocity of a particle (v) at an instant t is given by v = at + bt^{2}. The dimension of b is the

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