CLASS : XITH SUBJECT : PHYSICS
DATE : DPP NO. : 7
Topic :- UNITS AND MEASUREMENTS
1. What is the area of a disc of radius 1.1 cm?
a) 3.8028571 cm2 b) 3.8029 cm2 c) 3.803 cm2 d)3.8 cm2
2. The physical quantity having the dimensions [𝑀-1𝐿-3𝑇3𝐴2] is
a) Resistance b) Resistivity
c) Electrical conductivity d) Electromotive force
3. Dimensions of magnetic field intensity is
a) [𝑀0𝐿-1𝑇0𝐴1] b) [𝑀𝐿𝑇-1𝐴-1] c) [𝑀𝐿0𝑇-2𝐴-1] d)[𝑀𝐿𝑇-2𝐴]
4. A spectrometer gives the following reading when used to measure the angle of a prism
Main scale reading : 58.5 degree
Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier
scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the
above data
a) 58.59 𝐷𝑒𝑔𝑟𝑒𝑒 b) 58.77 𝐷𝑒𝑔𝑟𝑒𝑒 c) 58.65 𝐷𝑒𝑔𝑟𝑒𝑒 d)59 𝐷𝑒𝑔𝑟𝑒𝑒
5. Find the dimensions of electric permittivity
a) [A2M-1L-3T4] b) [A2M-1L-3T0] c) [AM-1L-3T4] d) [A2M0L-3T4]
6. The radius of the sphere I (4.3 ± 0.1)cm. The percentage error in its volume is
0.1 0.1 × 100 1 0.1 × 100 0.1 × 100
a) 4.3 × 100 b) 3 × 4.3
c) 3 × 4.3
d)3 + 4.3
7. The dimensions of a rectangular block measured with calipers having least count of 0.01 cm are
5 mm × 10 mm × 5 mm. The maximum percentage error in the measurement of the volume
of the block is
a) 5% b) 10% c) 15% d) 20%
8. In a new system of units, unit 𝑓 mass is 10 kg, unit of length is 1 km and unit of time is 1 min.
The value of 1 joule in this new hypothertical system is
a) 3.6 × 10-4 new units b) 6 × 107 new units c) 1011 new units d)1.67 × 104 new units
9. The wavelength associated with a moving particle depends upon power 𝑝 of its mass 𝑚, 𝑞th
power of its velocity 𝑣 and 𝑟th power of planck’s constant h. Then the correct set of values of 𝑝,
𝑞 and 𝑟 is
a) 𝑝 = 1,𝑞 = ― 1,𝑟 = 1 b) 𝑝 = 1,𝑞 = 1,𝑟 = 1
c) 𝑝 = ― 1,𝑞 = ― 1,𝑟 = ― 1 d)𝑝 = ― 1,𝑞 = ― 1,𝑟 = 1
10. The circular scale of a screw gauge has 50 divisions and pitch of 0.5 mm. Find the diameter
of sphere. Main scale reading is 2.
a) 1.2 b) 1.25 c) 2.20 d)2.25
11. The length of a cylinder is measured with a meter rod having least count 0.1 𝑐𝑚.
Its diameter is measured with vernier callipers having least count 0.01 𝑐𝑚. Given that length is
5.0 𝑐𝑚. and radius is 2.0 𝑐𝑚. The percentage error in the calculated value of the volume will be
a) 1% b) 2% c) 3% d)4%
12. The energy (𝐸), andgular momentum (𝐿) and universal gravitational constant (𝐺) are chosen
as fundamental quantities. The dimensions of universal gravitational constant in the
dimensional formula of Planck’s constant (h) is
5
a) Zero b) -1 c) 3 d)1
13. Density of liquid in CGS system is 0.625 g cm-3. What is its magnitude in SI system?
a) 0.625 b) 0.0625 c) 0.00625 d)625
14. Which of the following is dimensionless?
𝑣2 𝑣2g 𝑣g
a) 𝑟g b) 𝑟
c) 𝑟 d)𝑣2𝑟g
15. The unit of magnetic moment is
a) TJ-1 b) JT-1 c) Am-2 d)Am-1
16. The unit of reduction factor of tangent galvanometer is
a) 𝐴𝑚𝑝𝑒𝑟𝑒 b) 𝐺𝑎𝑢𝑠𝑠 c) 𝑅𝑎𝑑𝑖𝑎𝑛 d)None of these
17. If pressure 𝑃, velocity 𝑉 and time 𝑇 are taken as fundamental physical quantities, the
dimensional formula of force is
a) 𝑃𝑉2𝑇2 b) 𝑃-1𝑉2𝑇-2 c) 𝑃𝑉𝑇2 d)𝑃-1𝑉𝑇2
18. Which of the following quantity is expressed as force per unit area
a) Work b) Pressure c) Volume d)Area
19. Which of the following cannot be regarded as an essential characteristic of a unit of
measurement?
a) Inaccessibility b) Indenstructibility
c) Invariability d) Reproductibility
20. If the unit of length and force be increased four times, then the unit of energy is
a) Increased 4 times b) Increased 8 times c) Increased 16 times d) Decreased 16 times
