A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where1 J=1 kg m2s-2Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Then the magnitude of calorie in terms of new units is:

1. 4.2α-2β-2γ22. 4.2α2β-2γ23. 4.2α-1β-2γ24. 4.2α-1β2γ-2

Subtopic:  Dimensions |
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Which of the following is the most precise device for measuring length?

1. A vernier calliper with 20 divisions on the sliding scale.

2. A screw gauge of pitch 1 mm and 100 divisions on the circular scale.

3. An optical instrument that can measure the length within a wavelength of light.

4. Both 1 and 2

Subtopic:  Measurement & Measuring Devices |
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The number of significant figure in 0.0006032 m2 is:

1 42 53 74 3

Subtopic:  Significant Figures |
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A physical quantity P is related to four observables a, b, c, and d as follows :

P=a3b2cd

The percentage errors of measurement in a, b, c, and d are 1%, 3%, 4% and 2%, respectively. Then the percentage error in the quantity P is:

1 12%2 13%3 14%4 15%

Subtopic:  Errors |
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When the planet Jupiter is at a distance of 824.7 million kilometres from the Earth, its angular diameter is measured to be 35.72” of arc. Then the diameter of Jupiter is:

1 1.34×109 m2 1.43×109 m3 1.34×108 m4 1.43 ×108 m

Subtopic:  Measurement & Measuring Devices |
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A new unit of length is chosen such that the speed of light in the vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 sec to cover this distance?

(1) 500 new units of length.

(2) 100 new units of length.

(3) 300 new units of length.

(4) 200 new units of length.

Subtopic:  Dimensions |
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A student measures the thickness of a human hair by looking at it through a microscope of magnification 100. He makes 20 observations and finds that the average width of the hair in the field of view of the microscope is 3.5 mm. The thickness of the hair is:

(1) 0.035 mm

(2) 0.0035 mm

(3) 0.35 mm

(4) 3.5 mm

Subtopic:  Measurement & Measuring Devices |
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The photograph of a house occupies an area of 1.75 cm2 on a 35 mm slide. The slide is projected onto a screen, and the area of the house on the screen is 1.55 m2. What is the linear magnification of the projector-screen arrangement?

(1) 90.0

(2) 94.1

(3) 99.9

(4) 97.7

Subtopic:  Measurement & Measuring Devices |
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The length, breadth, and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. The volume of the sheet to correct significant figures is:

1. 0.00856 m3

2. 0.0856 m3

3. 0.00855 m3

4. 0.0855 m3

Subtopic:  Significant Figures |
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Which one of the following formulas is dimensionally incorrect?

1 y=asin2πtT2 y=a2sin2πtT+cos2πtT3 y=asinvt4 y=asin2πtT+π

Subtopic:  Dimensions |
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