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A unitless quantity

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Important Questions on Physical World and Measurement

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The equation of a wave is given by, Y=Asinωxv-k, where ω is the angular velocity, x is the displacement and v is the linear velocity. The dimensions of k is
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L, C and R represent physical quantifies inductance, capacitance and resistance respectively. The combination representing dimension of frequency is :  
MEDIUM
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The time dependence of a physical quantity P is given by P=P0exp-αt2, where α is a constant and t is time. The constant α-
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The equation of state of some gases can be expressed as P+aV2V-b=RT, where P is the pressure, V is the volume, T is the absolute temperature and a, b and R are constants. The dimensions of ’a’ are:-
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A force F is given by F=at+bt2, where t is time. The dimensions of a and b are