3.
01<br />Problem<br />1985<br />Plank’s Constant has dimensions……<br />.<br />
4.
02<br />Problem<br />1988<br />In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are ………………<br />.<br />
5.
03<br />Problem<br />1997<br />The dimensions of electrical conductivity is ………………………<br />.<br />
6.
04<br />Problem<br />1997<br />The equation of state of a real gas is given by <br />where P, V and T are pressure, volume and temperature respectively and R is the universal gas constant. The dimensions of the constant a in the above equation is…………<br />.<br />
7.
SECTION – II<br />OBJECTIVE QUESTIONS<br />Only one option is correct<br />
8.
01<br />Problem<br />1995<br />In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system ? <br />.<br />
9.
02<br />Problem<br />2000<br />The dimensions of permittivity of free space; E:electric field ) is :<br /> <br />[MLT –1]<br />[ML2T-2]<br />[MLT-2]<br />[ML2T-1]<br />.<br />
10.
03<br />Problem<br />2001<br />A quantity X is given by , where is the Permittivity of free space, L is a length, ∆V is a potential different and ∆t is a time interval. The dimensional formula for X is the same as that of :<br /> <br />Resistance <br />Charge <br />Voltage <br />Current <br />.<br />
11.
04<br />Problem<br />2003<br />A cube has a side of length 1.2 x 10-2m. Calculate its volume:<br /> <br />1.7 x 10-6 m3<br />1.73 x 10-6 m3<br />1.70 x 10-6 m3<br />1.732 x 10-6 m3<br />.<br />
12.
05<br />Problem<br />2004<br />In the relation;<br />P is pressure, Z is distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be :<br /> <br />[M0L2T0]<br />[M1L2T1]<br />[M1L0T-1]<br />[M0L2T-1]<br />.<br />
13.
06<br />Problem<br />2004<br />A wire has a mass (0.3 0.003)g, radius (0.5 0.005)mm and length (6 0.06)cm. The maximum percentage error in the measurement of its density is:<br /> <br />1<br />2<br />3<br />4<br />.<br />
14.
07<br />Problem<br />2005<br />Which of the following sets have different dimensions? <br /> <br />Pressure, young’s modulus, stress <br />Emf, potential difference, Electric Potential <br />Heat, Work done, Energy <br />Dipole moment, Electric flux, Electric field <br />.<br />
15.
08<br />Problem<br />2006<br />A student performs an experiment for determination of <br /> and he commits an error of ∆l. For T he takes the time of n oscillation with of least count ∆T and he commits a human error of 0.1s.For which of the following data, the measurement of g will be most accurate?<br /> <br />∆L=0.5, ∆T=0.1, n=20<br />∆L=0.5, ∆T=0.1, n=50<br />∆L=0.5, ∆T=0.01, n=20<br />∆L=0.1, ∆T=0.05, n=50<br />.<br />
16.
09<br />Problem<br />2006<br />The circular scale of a screw gauge has 50 division and pitch of 0.5mm.find the diameter of sphere. Main scale reading is 2.<br /> <br />1.2<br />1.25<br />2.20<br />2.25<br />.<br />
17.
SECTION – III<br />OBJECTIVE QUESTIONS<br />More than one options are correct<br />
18.
01<br />Problem<br />1984<br />L,C and R represent the physical quantities inductance, capacitance and resistance respectively. The combinations which have dimensions of frequency are:<br /> <br />1/RC<br />R/L<br />1/√LC<br />C/L<br />.<br />
19.
02<br />Problem<br />1986<br />The dimensions of the quantities in one (or more)of the following pairs are the same. Identify the pair(s):<br /> <br />Torque and work <br />Angular momentum and work <br />Energy and Young’s modulus <br />Light year and wavelength <br />.<br />
20.
03<br />Problem<br />1995<br />The pairs of physical quantities that have the same dimensions in (are):<br />Reynolds number and coefficient of friction <br />Curie and frequency of a light wave<br />Latent heat and gravitational potential<br />Planck’s constant and torque<br />.<br />
21.
04<br />Problem<br />1998<br />Let [ε0] denote the dimensional formula of the permittivity of the vacuum and[μ0] that of the permittivity of the vacuum. If M=mass, L=length, T=time and I=electric current:<br /> <br />[ε0]= [M-1 L-3 T2]<br />[ε0] =[M-1 L-3 T4 I2]<br />[μ0]= [MLT-2 I-2]<br />[μ0]= [ML2 T-1 I]<br />.<br />
22.
05<br />Problem<br />1998<br />The SI unit of the inductance, the henry can by written as:<br /> <br />Weber/ampere<br />Volt-second/ampere<br />Joule/(ampere)2<br />Ohm-second<br />.<br />
24.
01<br />Problem<br />1980<br />Give the MKS units for each of the following quantities:<br /> <br />Young’s modulus <br />Magnetic induction <br />Power of a lens <br />.<br />
25.
02<br />Problem<br />1981<br />A gas bubble, from an explosion under water, oscillates with a period T proportional to Pa db Ec where P is the static pressure, d is the density of water and E is the total energy of the explosion. Find the values of a, b and c.<br />.<br />
26.
03<br />Problem<br />1982<br />Write the dimensions of the following in terms of mass, time, length and charge:<br /> <br />Magnetic flux <br />Rigidity modulus <br />
27.
04<br />Problem<br />1990<br />Column-1 gives three physical quantities. Select the appropriate units for the choices given in column –II. Some of the physical quantities may have more than one choice <br /> <br />Column –I Column - II <br />Capacitance Ohm-second<br />Inductance coulomb2-joule-1<br />Magnetic induction Coulomb(volt)-1, Newton(amperemetre)-1, volt-second(ampere)-1<br />
28.
05<br />Problem<br />1993<br />Match the physical quantities given in column I with dimensions expressed in terms of mass (M) length (L) time (T), and charge (Q) given in column II and write the correct answer against the matched quantity in a tabular form in your answer book.<br /> I II<br />Angular momentum [ML2T-2]<br />Latent heat [ML2Q-2]<br />Torque [ML2T-1]<br />Capacitance [ML3T-1Q-2]<br />Inductance [M-1L-2T2Q2]<br />Resistivity [L2T-2]<br />
29.
06<br />Problem<br />2003<br />N division on the main scale of a vernier calipers coincide with N+1 divisions on the vernier scale. If each division on the main is of a units, determine the least count of instrument.<br />
30.
07<br />Problem<br />2004<br />In a searle’s experiment, the diameter of the wire as measured by a screw gauge of least count. 0.001 cm is 0.050cm. the length, measured by a scale of least count 0.1cm , is 110.0cm.when a weight of 50Nis suspended from the wire, the extension is measured to be 0.125cm by a micrometer of least count 0.001cm. find the maximum error in the k measurement of young's modulus of the material of the wire from these data.<br />
31.
08<br />Problem<br />2004<br />The pitch of a screw gauge is 1mm and there are 100divisions on the circular scale. While measuring the diameter of a wire, the linear scale reads 1mm and 47th division on the circular scale coincides with the reference line. The length of the wire is 5.6cm. find the curved surface area(in cm2) of the wire in appropriate number of significant figures.<br />
32.
09<br />Problem<br />2004<br />The edge of a cube is measured using a vernier caliper. [9 divisions of the main scale is equal to 10 divisions of vernier scale and 1 main scale division is 1 mm]. The main scale division reading is 10 and 1 division of vernier scale was found to be coinciding with the main scale. The mass of the cube is 2.736g. calculate the density in g/cm3upto correct significant figures.<br />
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