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we eraaee, , , , |. Multiple Choice Questions, (with One Correct Answer), , Also for CBSE PMT (Preliminary), AIEEE, AIMS,, AFMC, DCE, DPMT, CPMT, BHU and All Cther, Competitive as well as Board Examinations, , , , 1. Which of the following have same dimensions ?, (@) Specific heat & fatent heat, (6) Momentum & impulse, (c) Moment of inertia & moment of momentum., (@) Tension & surface tension., , Which of the following is a dimensional constant?, , (a) refractive index (b) dielectric constant, , (c) relative density (d) gravitational constant., The dimensional formula for latent heat is, , (a) M°L? T-2 ()ML?T-!, (c)MLT7? @) ML? 17?, , What is the % error in measurement of “I of a, pendulum if maximum errors in the measurement of P and ‘g' are 2% & 4 % respectively ?, , (a) 6% (b) 4%, , |, , (c)3% (@)3%, , . The relative density of a metal may be found by, , hanging a block of the metal from @ spring, balance and noting that in air, the balance reads, (§-00 = 0-05) N while in water, it reads (4-06 ~, 0-05) N. The relative density would be quoted as, , (a) (5-00 = 0-05) (6) 5-00 = 11%, , (c) 5-00 + 0-10 (d) 5-00 = 6%, . The dimensions of magnetic moment are, , (a)L?A7* (6)? A!, , (c) LA? @Ua3, , . The length ofa rod is (11-05 = 0-05) cm. Whatis, , the total length of 2 such rods ?, , (a) (22-120-05)cm = (6) (22-10 = 0-05)an, (c)(22-120-05)em (d) (22-10 = 0-10) cm, A liquid of coefficient of viscosity is flowing, steadily through a capillary tube of radius r and, length L If V is volume of liquid flowing per sec., the pressure difference P at the end of tube is, given by, , alV 4, , (ayp = S20¥ (Pp = Sart, 7 4, , (ep = Say (yp = Sar

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9% The scientific Principle Involved jn computers is:, (a) EMI, (5) Thermodynamics, (c) Superconducivity, (d) Amplification by population inversion., , 10. Which of the following has metre kelvin as the, unit ?, , (a) Rydberg constant, (c) Solar constant, 11. Given that, , (b) Wein's constant, (d) Gas constant., , , , where aisa constant. Using dimensional analysis,, the value of rn is, , (a)1 (b)-1, , {c)0 (d) none of the above,, 12. The velocity v ofa particle is given in termsoftime, , fas »v=at+ ,, , , , tte, The dimensions of a, b, care, , (a) L?; TLT-2 (6) LT? ;LT;L, , (c) LT-?;L;T (@)L;LT;T?, , 13. In a particular system, the unit of length, mass, and time are chosen to be 10 cm, 10 g and 0-15, , respectively. The unit of force in this system will, he equivalent to, , (a)0-1N (b) IN, (c) 1ON (d) 100 N., , 14. The time dependence of a physical quantity P is, given by P = Py exp (- a1), where is a constant, and ¢ is time. The constant a is, , (a) dimensionless (b) has dimensions T~?, , {c) has dimensions of P, (@) has dimensions T?,, , 15. ‘The pressure on a square plate is measured hy, measuring the force on the plate and the length, of the sides of the plate. Ifthe maximum error in, measurement of force and length are respectively, 4% and 2%, the maximum error in the measurement of pressure is, , (a) 1% (b)2%, (c) 6% (d) 8%., , 16. One centimetre on the main scale of vernier callipers Is divided into ten equal parts, If 10, divisions of vernier scale coincide with 8 small, , Ls ee, , 17, , 18., , 19., , 20., , 21., , 22., , 23., , divisions of the muin scale, the least count of the, callipers ts, , (a) 0-01 em (b) 0-02 cm, 0-050 (d) 0-005 em,, Aunit less quantity, , (a) may have # non-zero dimension, (b) always has a non-zero dimension, (c) never has a non-zero dimension, (d) does nol exist., sets cannot enter into the, ko a eam Saetin in any system of, units ? /, (a) Length, time and velocity, (b) Length, mass and velocity, (c) Mass, time and velocity, (d) Length, time and mass., , A dimensionless quantity, (@) may have a unit (b) never has a unit, (c) always has a unit (d) doesn’t exist., , The position x of « particle at time ¢ is given by, , x= aa (l-e a, , where V) is a constant anda > 0,, , The dimensions of Vp anda are, , (@)M°LT~and T-! (6) M°L Te and T~!, , (c) M°L T7! and LT~? (@) M°LT~! and T, , The dimension of RC is same as that of LR, , (a) true, , (b) false, , If Energy (E), velocity (V) and time (T) are chosen, , as fundamental quantities, the dimensions ofsurface tension will be represented as :, , (a) EV~? tT! (b) EV! 7-2, (c) EV~? "y-2 (d) G2 v—! +p-3, , In the standard equation San =u + $ {2m - 1),, what dimensions do you view for S., , nth? ¢|, , (a) M°L! T° (6) M°L- yp! iB, (c)M° L! 7-1 @ ML T! T, , 24, If units of length, mass and force are chosen as t, ene units, the dimensions of time would °, , (a) M2, ~ 172 yA (6) M12 1.12 pl? F

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1/104, , ») M2122 p -12 ipo aR, (©) MVALIAF 2 Mr (u.7.), , 25, Dimensions of magnetic induction are:, (a) ML! T7? ant () mM! pL tT? ., (yM°L'T 2a! @M LoT A, 26. The dimensions of intensity are +, (a) L°M'T? (by L' M?T, (c) 2M! T7? (dy? M? Tt, 27. Given: force == ——-——> Wat are the dimendensity +, , sions of a, ?, (a)ML7? T7, ML s, (b) M?L‘T~?, M4L7!, (¢) M? L722 772,M'4 ro!, (d)M?L~?T-7,M tL, 2%, Which one of the following has the dimensions of, , pressure ?, M, (a) Me Om, M M, Tat TT (c.p.tu.7. 1994), , 29. Which one of the following quantities has not, been expressed in proper units ?, (a) Coeff. of clasticity: N/m?, (6) Surface tension: N/m, (c) Energy: kg mis, (d) Pressure: N/m?. (M.N.A., 1995), , 30, The dimensions of RC, where R is resistance and, C is capacitance are same as that of, , (a) inverse time (6) time, (c) square of time (d) square root of time., (P.M.T, 1996), , 31. Dimensions of gravitational constant are, (a) M7" L3 T-? (6)M7? 3 T7!, (c) M7 LL! T-2 (4)M7' 12 T-3, (D.P.M.T. 1997), 32. The unit of reduction factor of tangent gal, yanometer is, (a) gauss (6) testa, (c) radian (d) ampere,, , (C.P.M.T. 1997), , —, , 33. Two quantities A and B have different dimen,, sions. Which mathematical operation May ty, physically meaningful ?, , (a) AB (b)A+B, ()A-B (d)A=B., (C.P.M.T. 198), , M. The dimensional formula of magnetic Mux js, (a)[MIL2P~2A~"] (6) [M'LOT-2,4-2), (c)[M°L~?T"2A72],— (a) (MIL? A3}),, , (C.B.S.E. P.M.T. 4999), , 35. Ifspeed of light (c), acceleration due to gravity &), and pressure (p) are taken as fundamental units,, the dimensions of gravitational constant (G) are, , (aye"gp~3 (6) 2 gp?, (c)e?gtp™} (d) cg? p-?,, (A.M.U, 1993), , 36, The dimensions of Planck’s constant and angular, momentum are respectively, , (a) M'L2T~! and M'LT~!, , (b) M'12T~! and M'L2T~!, , (c) M'LT7! and M'L?T~!, , (a) M'LT~! and ML? 7-2, (C.P.M.T. 1999), 37. If L and R denote inductance and resistance, , respectively, which of the following has the, dimensions of frequency ?, , (2) RAL (6) LR, (ce) ¥R/L (d) VL7R., (M.P.C.E.E. 1999), , 38. A force Fis given by F = at + df, where tis time., The dimensions of a and b are:, , (a) [MLT~3} and [MLT~*], , (b) [MLT~4} and [MLT~], , {c) |MLT™"] and [MLT~?], , (d) [MLT~?] and [MLT*] (A.F.M.C, 2000), 39 The number of significant figures in 3400 is, , (a)3 (b)4, , (c)2 (dy, (A.F.B.C. 2000), , 40. Dimensions of ‘ohm’ are same as (where ft is, Planck's constant and ¢ is charge), , 2, (a =

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41., , 42, , 43., , h 2, (c} — (d) i’, e e? (LC A.R. 2000), , Match List | with List IL and select the correct, answer:, , List I List I], A. Spring constant 1. M'L2T 2, B, pascal 2. M°L°r-?, C. hertz 3. M'L°T-2, D, joule 4.M'L~ hy?, A B c D, (a) 3 4 2 1, 0) 4 3 | 2, () 4 3 2 1, (d) 3 4 1 2, , (C.B.S.E. 2001), , The velocity v of waves produced in water depends, on their wavelength A, the density of water d, and, acceleration due to gravity g. These quantities are, related as (where K is a dimensionless constant), , (a) =kav' glade! (b) wv =kig, (c)v? =kidg (d)v? = kage! i, (P.E.T. (MP) 2001), , The length and brendth ofa metal sheet are 3-124, m and 3-002 m respectively. The area of this sheet, up to four correct significant figures is, , (a) 9°37 mi? (b) 9-378 m*, (c) 9-3782 m? (d) 9-378248 m?, (A.LLM.S, 2001), , . If the energy, E = G? 44 c’, where G is the univer, 45., , sal gravitational constant, fr is the Planck's con, stant and c is the velocity of light, then the values, , of p, q andr are, respectively, , (a) 1/2, 1/2and 5/2 (b) 1/2, ~1/2 and 5/2, , (c) -1/2, 1/2and 3/2 (d) 1/2, - 1/2 and -3/2, (C.B.S.E. 2001), , SI unit of magnetic dipole moment is, , (a) Am! (b) Am?, , (c)TmAg! (d)ma7?