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1" ZO-4-4mez68, , = :, |. Multiple Choice Questions (c)3 % @)s%, (with One Correct Answer) 5. The relative density of a metal may be foung by, puahaeGERuEnD es 27 Ren Pe Pe tae a hanging a block of the metal from a, , Also for CASE PMT (Preliminary), AIEEE, AlIMS, balance and noting that in air, the balance reads, , AFMG, DCE, OPMT, CPMT, BHU and All Other (5-00 » 0 05) N while in water, it reads (4.99 ., Competitive as well as Board Examinations 0-05) N. The relative density would be quoted as, {a) (5-00 + 0-05) (b) 5:00 = 11%, 1. Which of the following have same dimensions ? {c) 5-00 = 0-10 (d) 5:00 » 6%, , (a) Specific heat & latent heat 6. The dimensions of magnetic moment are, (b) Momentum & impulse (aya! (la!, (c) Momient of inertia & moment of momentum. (c) LA? (4)? a3, (d) Tension & surface tension. 7. The length of v rod ts (11-05 = 0-05) cm. What is, , 2. Which of the following is « dimensional con- the total length of 2 such rods ?, stant? (a) (22-1 + 0-05) em (6) (22:10 = 0-05) em, (a) refractive index (b) dielectric constant (c)(22-1=0-05)em — (d) (22-10 + 0-10) em, , (c) relative density (d) gravitational constant, 8 A liquid of coefficient of viscosity 7 is flowing, steadily through a capillary tube of radius rand, , 3. The dimensional formula for latent heat is length 1. IV is volume of liquid flowing per see,, (a) M°L? T-? ()ML?T"! the pressure difference P at the end of tube is, (e)MLT7? (Mutt given hy ., , 4, What is the % error in measurement of ‘T’ of a (a)P= Baty (b)P= Bar!, pendulum if maximum errors in the messure- ar av, ment of ‘f and ‘g’ are 2% & 4 % respectively ? 8y1V 8nr'V, , ‘ (c)P= (d)P= ., (a) 6 % (b) 4% = x
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9. The scientific principle invelved in computers is:, (a) EMI, (6) Thermodynamics, {c} Supercondueivity, (d) Amplification by Population inversion,, , 10. Which of the following has metre kelvin as the, , unit ?, (a) Rydberg constant (b) Wein’s constant, (c) Solar constant (4) Gas constant., 11, Given that, dx, , , , =a" sin~! (= =‘), , Yaax— x2, , where a isa constant, Using dimensional analysis,, the value ofn is ., , (a) (b)-1, (co (d) none of the abave,, 12. The velocity v ofa particle is piven in terms oftime, , 4, t ——, Beats, , ‘The dimensions of a, b, ¢ are, (a) L?; TLT~? @)LT?;LT:L, @) LT; L;T (@)L;L7;T*, , 13. In a particular system, the unit of Jength, mass, wnd time are chosen to be 10 cm, 10 y and 0-15, respectively, The unit of force in this system will, , be equivalent to, (a)0-1N (6) 1N, (c) 10N (a) 100N., , 14. The time dependence of a physical quantity P is, given by P = Py exp (= a ), where @ is a constant, and (is time. The constant ¢ is, , (a) dimensionless, {e) has dimensions of P, , (d) has dimensions T?., , 15. The pressure on « square plate is measured by, measuring the force on the plate and the length, of the sides of the plate. If the maximum error in, measurement of force and length are respectively, 4% and 2%, the maximum error in the measurement of pressure is, , (a) 1% (6) 2%, (c) 6% (d) 8%,, 16. One centimetre on the main scale of vernier cal, lipers is divided into ten equal parts. If 10, divisions of vernier scale coincide with % small, , (b) has dimensions T~?, , EEANSWERS wm, , divisions of the main scale, the least count of the, callipers is, , (by 0-02 em, (a) 0-01em (, , (c) 0-05 em (d) 0-005 cm., 17. 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 not exist., 18, Which of the following sets cannot enter into the, , list of fundamental quantities in any system of, units 7, , (a) Length, time and velocity, (b) Length, mass and velocity, (¢) Mass, time and velocity, (d) Length, time and mass., 19. A dimensionless quantity, (a) may have a unit (6) never has a unit, (c) always has a unit (d) doesn't exist., 20, The position x of a particle at thme ¢ is given by, Vv,, x= — (i-e7%), where V, is a constant anda > 0., The dimensions of Vp und @ are, (a) M°LT~! and T~? (6) M°L T° and T"*, (c) M°L T7! and LT™? (4) M° LT! and T, 21. The dimension of RC is same as that of L/R, (a) true, (b) false, , 22, If Energy (E), velocity (V) and time (T) are chosen, , as fundamental quantities, the dimensions of surface tension will be represented as :, , (@)EV~27-! @)EV-'T"?, (c) EV72 4-2 (dd) EB vn 73, 23, In the standard equation San =u + $ \2n - 1],, what dimensions do you view for San?, (a) M°L' (6) M°L~! Tt, (c)M? Lot (d) MeL? T!, 24. If units of length, mass and force are chosen as, , pale units, the dimensions of time would ‘oO, , ~A-4mBzZ00, , (a) Mi72 L772 pla (b) Mi/2112 Fa, , 207)
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'9OM 2O-4-4msz00, , 1/104, , = -12, (ce) M/A L2 p12 (a) ML? “F, , (UT), , 25, Dimensions of magnetic induction “, (yM'Litamt (6) ML°T (ML T2A7! (dy MILT? A, , 26, The dimensions of Intensity are!, (a)? M' T-3 (6) 1! M2 >, (c)L2M! 17? (a) L? M? tT, , 27. Given: force = i“ What are the dimen, density +?, , , , sions of a, i?, (a) ML7? T72, ML™ “v3, (6) M4772, MIS L-!, (ec) M77? 73, M317!, (d) M?7L7? 772, ML~, 28. Which one of the following has the dimensions of, , pressure ?, M, (a) a yr, M M, OT TT (cpu. 1994), , 29. Which one of the following quantities has not, been expressed in proper units ?, , (a) Coeff. of elasticity: N/m?, , (b) Surface tension: N/m, , (c) Energy: kg mis, , (d) Pressure: Nim?. (M.NLA,, 1995), , 30. The dimensions of RC, where R is resistance and, C is capacitance are same as that of, , (a) inverse time (6) time, (¢) square of time (d) square root of time,, (P.M.T. 1996), 31. Dimensions of gravitational constant are, (a) M~!L3 t-? () M7? 3 T7!, (ec) M3 L7! T72 (4) M712 T73, (D.P.M.T, 1997), 32. The unit of reduction factor of tangent galvanometer Is, (a) gauss (b) testa, (c) radian (d) ampere,, (C.P.1.T. 1997), , , , 33, Two quantities A and Bb have different dimen., sions. Which mathematical operation may by, physically meaningful ?, (a) VB, ()A-B, , (b)A+B, (dj A=B., (C.P.M.T. 1898), 34. The dimensional formula of magnetic Mux is, (a) [M'L?T-7A~*} (b) (ML OT-2A~2y, (c)[M°L7?T-7A77]_— (ed) im'2To! a3},, (C.B.S.E. P.N.T, 1999), , 35, Ifspeed of light (c), acceleration due to gravity (g), and pressure (p) are taken as fundamental units,, the dimensions of gravitational constant (G) are, , @exp > (App?, (c)etg2p! (d) 2g? p™?., (A.M.U, 1999), , 36, The dimensions of Planck's constant and angular, momentum are respectively, , (a) M'L2T~! and M'LTO!, , (6) M'L217! and M'L2T~!, , (c) M'LT7! and M1777!, , (a) M'LT~" and M'L?T~?. (C.P.0.T, 1999), , 37. If L and R denote inductance and resistance, respectively, which of the following has the, dimensions of frequency ?, , (a) RL (6) UR, (ce) Y¥R7LE (a) YL7R., , (M.P.C.E.E. 1999), , 38. A force F is piven by F = at + bt, where tis time., The dimensions of 9 and b are:, , (a) (MLT~4] and [MLT~*}, (b) (MLT~4] and [MLT™3], (c) |MLT~"} and [(MLT™?), (d) [MLT~?) and [MLT®) (A.F.M.C, 2000), 39. The number of significant figures in 400 is, {a)3 (b) 4, (c)2 (d)1, (A.F.M.C. 2000), , 40, Dimensions of ‘ohm’ ure same as (where A Is, Planck’s constant and ¢ is charge), , @F wt, , oo MMANSWERS aoe
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42,, , 43., , 44., , 45., , 2, (ey tay", ¢ eC ALR. 2000), , . Mateh List t with List Hand select the correct, , answers, , List I List, , A. Spring constant 1. M'n2p2, , 1. pascal 2. M°L"r~!, , C. hertz 3, M'Lor-2, , D, joule 4, ML 74, A B G D, , (a) 3 4 2 i, , (b) 4 3 | 2, , (c) 4 3 2 1, , (d) 3 4 | 2, , (C.B.S.E. 2001), , ‘The velocity » of waves produced in water depends, on their wavelength 2, the density of water d, and, acceleration due to gravity g. These quantities are, related as (where K is a dimensionless constant), , (a) ws kam" go "a7! (b) weakly, (c)u* = kadg (d) wt mkip-tan!, (P.E.T. (MP) 2001), , The length and breadth ofa metal sheet are 3-1 24, , mand 3-002 m respectively. The area of this sheet, , up to four correct significant figures is, , (a) 9-37 m? (b) 9-378 m?, , (c) 9:3782 m? (d) 9-378248 m*, (A.1.1.M.S, 2001), , If the energy, E = G? hc’, where G is the univer, sal gravitational constant, A is the Planck’s con, stant and c is the velocity of light, then the values, , of p,q and r are, respectively, , (a) -1/2, 1/2and 5/2 (b) 1/2, -1/2 and —5/2, , (c) ~1/2, 1/2 and 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) TmA7! (d)mA~?, , {M.P. P.M.T. 2002)
