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Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length? 

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Important Questions on Physical World and Measurement

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A physical quantity of the dimensions of length that can be formed out of c,G and e24πε0 is [c is velocity of light, G is universal constant of gravitation and e is charge ]

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In a particular system, the units of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s, respectively. The unit of force in this system will be equal to
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Bernoulli’s equation is given by p+12ρv2+hρg=k
Where p= pressure, ρ= density, v= speed, h= height of the liquid column, g= acceleration due to gravity and k is constant. The dimensional formula for k is same as that for :
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The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s2.56 s2.42 s2.71 s and 2.80 s, respectively. The average absolute error is
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The length, breadth and thickness of a strip are (10.0±0.1) cm(1.00±0.01) cm and (0.100±0.001) cm, respectively, then the most probable error in its volume will be
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The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. If the length and diameter of the cylinder are 5.0 cm and 2.0 cm, respectively, then the percentage error in the calculated value of volume will be