Free Measurements MCQs with Answers

61. The dimensional formula of kinetic energy is the same as that of:

• A. Pressure
• B. Work
• C. Momentum
• D. Force

Explanation: The dimension of kinetic energy [M1L2 T-2] is the same as that of work. Kinetic energy is the energy that a body has as a result of its movement. Energy infers the item's capacity to perform work.

62. Which of the following sets cannot enter into the list of fundamental quantities in any system of units?

• A. Length, mass, temperature
• B. Length, time, velocity
• C. Length, time, mass
• D. Mass, time, electric current

Explanation: Length, time and velocity cannot enter into the list of fundamental quantities because velocity can be expressed in terms of length and time.

63. Which of the following is not a unit of time:

• A. Solar year
• B. Tropical year
• C. Leap year
• D. Light year

Explanation: Light-year is the distance light travels in one year. Light zips through interstellar space at 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year.

64. A cube has a side of 1.2 x 10^-2m. Its volume will be recorded as:

• A. 1.728 x 10^-6 m3
• B. 1.72 x 10^-6 m3
• C. 1.7 x 10^-6 m3
• D. 0.72 x 10^-6 m3

Explanation: The following is the solution: Volume=l3=1.728x10-6m3 The length has two significant figures, hence v = 1.7x10-6 m3

65. An athlete's coach told him that muscle times speed equals power. What dimensions does he get for "muscle"?

• A. MLT 2
• B. ML2T-2
• C. MLT-2
• D. L

Explanation: The following is the solution: Power=force x velocity =Muscle times speed ∴Muscle represents force Muscle= [MLT-2]

66. Muslim scientists made important discoveries in the period:

• A. 600 AD - 1500 AD
• B. 1150 AD - 1750 AD
• C. 100 AD - 800 AD
• D. 500 AD - 1075 AD

Explanation: This option covers the period that saw the rise of the Islamic civilization and the early stages of the Islamic Golden Age. The Abbasid Caliphate, established in 750 AD, played a crucial role in fostering an environment that encouraged scientific and intellectual pursuits. The House of Wisdom in Baghdad, under the Abbasid caliphs, became a center for translation, research, and the development of various sciences.

67. The Muslim scientist, Al-Khawarzami, is famous for his work on:

• A. Physics
• B. Algebra
• C. Chemistry
• D. Medicine

Explanation: Al-Khwarizmi, a Persian mathematician, astronomer, and geographer who lived during the Islamic Golden Age, made significant contributions to various fields, particularly algebra. Al-Khwarizmi is most famous for his work in algebra, and his name is the origin of the term "algebra." He wrote a groundbreaking book titled "Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala" (The Compendious Book on Calculation by Completion and Balancing), which systematically introduced the concept of solving linear and quadratic equations. His work laid the foundation for algebra as a distinct branch of mathematics and had a profound impact on the development of the subject in the centuries to come.

68. Fundamental ideas of modern celestial mechanics were established by:

• A. Kepler & Galileo
• B. Newton
• C. Robert Hook
• D. Tycho & Halley

Explanation: Sir Isaac Newton's work, especially outlined in his monumental work "Philosophiæ Naturalis Principia Mathematica" (Mathematical Principles of Natural Philosophy), published in 1687, established the fundamental principles of celestial mechanics. Newton formulated the laws of motion and the law of universal gravitation, which explained not only how objects move on Earth but also how celestial bodies interact with each other. His laws provided a unified and comprehensive theory that explained the motion of planets, moons, and other celestial bodies in our solar system.

69. The decimal system was invented by:

• A. Indians
• B. Greeks
• C. Chinese
• D. Egyptians

Explanation: The decimal system was invented by Indian mathematicians around the 6th century CE. The most significant figure associated with this development is the Indian mathematician and astronomer Brahmagupta. He wrote the "Brahmasphutasiddhanta," in which he introduced the decimal number system, including the concept of zero. This system, often referred to as the Hindu-Arabic numeral system, eventually spread to the Islamic world and Europe, becoming the basis for the modern numerical system used worldwide.

70. Which of the physical quantities does not have the same units:

• A. Impulse and Momentum
• B. Pressure and Strain
• C. Plancks constant and angular momentum
• D. Bulk modulus and compressibility

Explanation: Pressure (denoted by P) and strain are related to the deformation of materials. Pressure is defined as force per unit area (P=F/A), and its units are force divided by area (N/m)2, which is equivalent to Pascal, denoted as Pa). Strain, on the other hand, is the ratio of the change in size to the original size and is dimensionless, meaning it has no units. Therefore, pressure and strain do not have the same units.