The physical quantity which has dimensional formula as that of Energy/(mass×length) is-
The dimensions of PV are equivalent to those of –
The dimensions of light year is –
Which of the following quantities is dimensionless -
If velocity (V), time (T) and force (F) were chosen as fundamental quantities, the dimensions of mass will be-
If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of the force is-
If force (F), area (A) and density (D) are taken as the fundamental units, the dimensional representation of Youngs modulus will be -
The ratio of the dimension of Planck’s constant and that of the moment of inertia is the dimension of :-
The dimensions of the coefficient of viscosity are
The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of lengths is 10 cm and unit of mass is 100 g, the value of density of material will be :
The dimension of , where e0 is permittivity of free space and E is electric field, is
If force (F), velocity(V) and time (T) are taken as fundamental units, the dimensions of mass are
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:
The density of a material in SI units is 128 kgm–3. In certain units in which the units of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is :
The length of a rectangular plate is measured by a meter scale and is found to be 10.0 cm. Its width is measured by vernier callipers as 1.00 cm. The least count of the meter scale and vernier callipers are 0.1 cm and 0.01 cm respectively (Obviously). Maximum permissible error in area measurement is -
In the previous question, minimum possible error in area measurement can be -
For a cubical block, error in measurement of sides is + 1% and error in measurement of mass is + 2%, then maximum possible error in density is -
The least count of a stop watch is 0.2 second. The time of 20 oscillations of a pendulum is measured to be 25 seconds. The percentage error in the time period is
The dimensions of a rectangular block measured with a vernier callipers having least count of 0.1 mm is 5 mm × 10 mm × 5 mm. The maximum percentage error in measurement of volume of the block is
The external and internal diameters of a hollow cylinder are measured to be (4.23 ± 0.01) cm and
(3.89 ± 0.01) cm. The thickness of the wall of the cylinder is
The mass of a ball is 1.76 kg. The mass of 25 such balls is
Two resistors R1(24 ± 0.5) Ω and R2 (8 ± 0.3) Ω are joined in series. The equivalent resistance is
The pitch of a screw gauge is 0.5 mm and there are 100 divisions on it circular scale. The instrument reads +2 divisions when nothing is put in-between its jaws. In measuring the diameter of a wire, there are 8 divisions on the main scale and 83rd division coincides with the reference line. Then the diameter of the wire is
The pitch of a screw gauge having 50 divisions on its circular scale is 1 mm. When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies 6 division below the line of graduation. When a wire is placed between the jaws, 3 linear scale divisions are clearly visible while 31st division on the circular scale coincide with the reference line. The diameter of the wire is :
The smallest division on the main scale of a vernier callipers is 1 mm, and 10 vernier divisions coincide with 9 main scale divisions. While measuring the diameter of a sphere, the zero mark of the vernier scale lies between 2.0 and 2.1 cm and the fifth division of the vernier scale coincide with a scale division. Then diameter of the sphere is
The main scale of a vernier callipers reads 10 mm in 10 divisions. 10 divisions of Vernier scale coincide with 9 divisions of the main scale. When a cylinder is tightly placed between the two jaws, the zero of vernier scale lies slightly behind 3.2 cm and the fourth vernier division coincides with a main scale division. The diameter of the cylinder is :
