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If the velocity `v` (in `cms^(-1)`) of a particle is given in terms of `t` (in second) by the relation `v= at+b/(t + c)` then the dimensions of `a, b and c`
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A book with many printing errors contains four different formulae for the displacement y of a particle under going a certain periodic motion, where, a = maximum displacement of the particle, v = speed of the particle, T = time period of motion. Which are the correct formulae on dimensional
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If speed V, area A and force F are chosen as fundamental units, then the dimensional formula of Young’s modulus will
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If dimensions of critical velocity `v_c` of a liquid flowing through a tube are expressed as `[eta^x rho^y r^z]`, where `eta, rho and r` are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of `x, y and z` are given
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The density of a material in CGS system is `10 g cm^(-3)`. If unit of length becomes 10 cm and unit of mass becomes 100 g, the new value of density will
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When 1 m, 1 kg and 1 min are taken as the fundamental units, the magnitude of the force is 36 units. What will be the value of this force in CGS
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The solid angle subtended by the periphery of an area `1 cm^2` at a point situated symmetrically at a distance of 5 cm from the area i s ...........
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It is claimed that two cesium clocks, if allowed to run for 100 yrs without any disturbance may differ by only about `0.02 s`. Then the accuracy of the clock in measuring a time interval of `1s` is
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Photon is quantum of radiation with energy `E=hv`, where `v` is frequency and `h` is Planck’s constant. The dimensions of `h` are the same as that of
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Which amongst the following statement is incorrect regarding
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Choose the incorrect statement out of the
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Given that T stands for time period and `l` stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation `T^2= l'/'g` is
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Match the following columns. Column I Column II A. Capacitance p. `'volt (ampere)'^(-1)` B. Magnetic induction q. `'volt-sec(ampere)'^(-1)` C. Inductance r. `'newton (ampere)'^(-1)` `('metre')^(-1)` D. Resistance s. `'coulomb'^2``'(joule)'^(-1)`
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Match the Column I (unit) with Column II (value) and select the correct option from the codes given below Column I Column II A. 1 are p. `200 mg` B. 1 bar q. `1.013 xx 10^5 Pa` C. 1 carat r. `10^2 m^2`
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Names of units of some physical quantities are given in Column I and their dimensional formulae are given in Column II and select the correct option from the codes given below. Column I Column II A. Pa-s P.`[L^2T^(-2)K^(-1)]` B. `Nm-K^(-1)` q.`[MLT^(-2)A^(-1)K^(-1)]` C. `J kg^(-1) K^(-1)` r. `[ML^(-1)T^(-1)]` D. `Wb m^(-1) K^(-1)` s. `[ML^2T^(-2)K^(-1)]`
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Assertion: Unit chosen for measuring physical quantities should not be easily reproducible. Reason: Unit should change with the changing physical conditions like temperature, pressure,
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Assertion The unit used for measuring nuclear cross-section is ‘barn’. Reason 1 barn `= 10^(-14)
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Assertion: When we change the unit of measurement of a quantity, its numerical value changes. Reason: Smaller the unit of measurement smaller is its numerical
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Assertion: Parallax method is used for measuring distances of nearby stars only. Reason: With increase in the distance of star from earth, the parallactic angle becomes too small to be measured
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Assertion: Out of two measurements `l = 0.7 m and l = 0.70 m`, the second one is more accurate. Reason: In every measurement, the last digit is not accurately
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