EASY
JEE Main
IMPORTANT
Earn 100

You can easily convert common units and measures electronically, but you still should be able to use a conversion table, such as those in appendix D. The table given below is a part of a conversion table for a system of volume measures once common in Spain, a volume of 1 fanega is equivalent to 55.501 dm3 (cubic decimeters). To complete the table, what numbers (to three significant figures) should be entered in (a) the cahiz column (b) the fanega (c) the cuartilla column and (d) the almude column, starting with the top blank? Express 7.00 almudes in (e) medios (f) cahizes and (g) cubic centimeters cm3.

  Cahiz fanega cuartilla almude medio
1 cahiz 1 12 48 144 288
1 fanega   1 4 12 24
1 cuartilla     1 3 6
1 almude       1 2
1 medio         1

 

Important Questions on Measurement

EASY
JEE Main
IMPORTANT
Assume the legal limit of speed is 70.0 mi h-1. If driving day and night without stopping for 1.00 year, what is the maximum number of miles one can drive?
EASY
JEE Main
IMPORTANT
A boy measures the thickness of a human hair by looking at it through a microscope of magnification 100×. After 25 observations, the boy finds that the average width of the hair in the field of view of the microscope is 3.8 mm. What is the estimate on the thickness of the hair?
EASY
JEE Main
IMPORTANT

A cubical object has an edge length of 1.00 cm. If a cubical box contained a mole of cubical objects, find its edge length. (one mole=6.02×1023 units)

EASY
JEE Main
IMPORTANT
At the end of a year, a motor car company announces that sales of pickup trucks are down by 43.0 % for the year. If sales continue to decrease by 43.0 % in each succeeding year, how long will it take for sales to fall below 10.0 % of the original number?
EASY
JEE Main
IMPORTANT
There exists a claim that if allowed to run for 100.0 years, two cesium clocks, free from any disturbance, may differ by only about 0.020 s. Using that discrepancy, find the uncertainty in a cesium clock measuring a time interval of 1.0 s.
EASY
JEE Main
IMPORTANT
The age of the universe is approximately 1010 years and mankind has existed for about 106 years. If the age of the universe were "1.0 day", how many "seconds" would mankind have existed?
HARD
JEE Main
IMPORTANT

Three digital clocks AB and C run at different rates and do not have simultaneous readings of zero. The figure shows simultaneous readings on pairs of the clocks for four occasions. (At the earliest occasion, for example, B reads 25.0 s and C reads 92.0 s.) If two events are 600 s apart on clock A, how far apart are they on (a) the clock B and (b) clock C? (c) When clock A reads 400 s, what does clock B read? (d) When clock C reads 15.0 s, what does clock B read? (Assume negative readings for pre-zero times.)

Question Image

EASY
JEE Main
IMPORTANT
A lecture period (50 min) is close to 1 microcentury. (a) How long is a microcentury in minutes? (b) Using the percentage difference=actual-approximationactual100, find the percentage difference from the approximation.