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Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

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Important Questions on Physical World and Measurement

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The diameter and height of a cylinder are measured by a meter scale to be 12.6±0.1cm and 34.2±0.1cm, respectively. What will be the value of its volume in appropriate significant figures?
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In a simple pendulum, experiment for determination of acceleration due to gravity(g) , time taken for  20 oscillations is measured by using a watch of 1  second least count. The mean value of time taken comes out to be 30 s . The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained 55.0 cm. The percentage error in the determination of g is close to
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In the density measurement of a cube, the mass and edge length are measured as 10.00±0.10  kg and 0.10±0.01  m, respectively. The error in the measurement of density is
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The area of a square is 5.29 cm2 . The area of 7 such squares taking into account the significant figures is
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The equation of state of some gases can be expressed as p+av2V-b=RT. Here P is the pressure, V is the volume, T is the absolute temperature and a, b, R are constants. The dimensions of  'a' are
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If V , denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV2 are
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In the relation ; P=αβe-αZkθP is pressure, Z is distance, k is Boltzman constant and θ is the temperature. The dimensions of β will be:
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The equation p+aV2 V-b= constant. The units of a are: