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UNITS AND MEASUREMENTS JEE MAINS QUESTIONS
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11. If x = at + bt2, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the units of b is
(a) km/s (b) km s (c) km/s2 (d) km s2
Answer: C
12. Planck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?
Answer: A
Answer: D
14. The density of a material in CGS system of units is 4gcm3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be
(a) 0.04 (b) 0.4 (c) 40 (d) 400
Answer: C
15. If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are
(a) [FVT–1] (b) [FVT–2]
(c) [FV–1T–1] (d) [FV–1T]
Answer: D
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16. If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as [ƞxρyrz] where ƞ, ρ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by
(a) –1, –1, –1 (b) 1, 1, 1
(c) 1, –1, –1 (d) –1, –1, 1
Answer: C
17. Dimensional formula of self-inductance is
(a) [MLT–2A–2] (b) [ML2T–1A–2]
(c) [ML2T–2A–2] (d) [ML2T–2A–1]
Answer: C
18. The dimensional formula of torque is
(a) [ML2T–2] (b) [MLT–2]
(c) [ML–1T–2] (d) [ML–2T–2]
Answer: A
19. The dimensional formula of torque is
(a) [ML2T–2] (b) [MLT–2]
(c) [ML–1T–2] (d) [ML–2T–2]
Answer: A
20. The dimension of E2 where is permittivity of free space and E is electrical field, is.
(a) [ML2T–2] (b) [ML-1T–2]
(c) [ML2T–1] (d) MLT–1
Answer: B
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ALSO VISIT: I. Trigonometric functions