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Question

Madam Curie collects equal quantities (each 1 gram) of radio active elements, radium, and polonium in two containers. She uses 1/2 part of radium and 1/3 part of polonium in an experiment. What quantity of radium and polonium is left out (in grams) is represented on the given number line?

A
Radium : 12 grams, Polonium: 23 grams.
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B
Radium: 23 grams, Polonium: 13 grams.
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C
Radium : 32 grams, Polonium: 23 grams.
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D
Radium : 52 grams, Polonium: 32 grams.
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Solution

The correct option is A Radium : 12 grams, Polonium: 23 grams.
Given: 1 gram of radium and polonium are stored in separate containers.

12 of radium is used.

In the given number line , each segment is divided into two parts.
Each part represents 12

Hence, remaining radium = 12 grams

13 gram of polonium is used.

To find the remaining polonium, check the marked point on the number line.

Each segment is divided into 3 parts. Each part represents 13

Point is marked at the 2nd place from zero.

Hence, 2 × 13 = 23 grams of polonium is left in the container.

= 23

Hence, remaining quantity of radium = 12 grams and remaining quantity of polonium = 23 grams.

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