A certain radioactive element has a half...

A certain radioactive element has a half-life of one year. This means that after 1 year, 1 gram of the element has decayed to `1/2` gram , after 2 years the weight is `(1/2)(1/2)=(1/4)` grams, after 3 years the weight is `(1/4)(1/2)=(1/8)` grams, and so on. Which of the following represents the weight of the sample as a function of time x ?

A

`f(x)=1/2x`

B

`f(x)=x^(-2)`

C

`f(x)=2^x`

D

`f(x)=2^(-x)`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

PRACTICE TEST
ENGLISH SAT|Exercise MATH TEST (WITH CALCULATOR)|37 Videos
POLAR COORDINATES
ENGLISH SAT|Exercise EXERCISES|3 Videos
PRACTICE TEST 1
ENGLISH SAT|Exercise EXERCISE|60 Videos

Similar Questions

Explore conceptually related problems

A certain radioactive element has half-life of 4 days. The fraction of material that decays in 2 days is

A certain radioactive element has a half-life of 20 years . If we have a block with 10 g of the element in it, after how many years will there be just 2.5 gm of element in the block

A radioactive element X with half life 2 h decays giving a stable element Y. After a time t, ratio of X and Y atoms is 1:16 .Time t is

1 gram of a radioactive element reduces to 1/3 gram at the end of 2 days. Then the mass of the element remaining at the end of 6 days is- [gram]

A fraction f_1 of a radioactive sample decays in one mean life, and a fraction f_2 decays in one half life. Then

A radioactive isotope Cs^(137) has a half life period of 30 years. Starting with 1 mg of Cs^(137) how much would remain after 120 years?

The half life of radium is 1600 years. After how much time will 1 g radium be reduced to 125 mg ?

One gram of a radiactive material having a half-life period of 2 years is kept in store for a duration of 4 years. Calculate how much of the material ramins uncahnged.

A man borrowed Rs. 8000 from a bank at 8% per annum. Find the amount he has to pay after 4 1/2 years.

ENGLISH SAT-PRACTICE TEST -MATH TEST (WITH CALCULATOR)

If the line y+2x+3=0 is parallel to the line 2y-px-4=0 , what is the v...
Text Solution
|
The original price of a shirt is x dollars. During a sale , the origin...
Text Solution
|
A certain radioactive element has a half-life of one year. This means ...
Text Solution
|
In a contest , each contestant could receive a score of 6,7,8,9, or 10...
Text Solution
|
An office buys a photocopier for $5,800 with a servicing fee of $25 a ...
Text Solution
|
Hooke's law states that the force needed to keep a spring stretched x ...
Text Solution
|
The monthly cost C of driving a car depends on the number of miles dri...
Text Solution
|
Three runners complete in a 100-meter obstacle race. The graph above d...
Text Solution
|
The frequency chart above shows the prices of a gallon of milk in 15 s...
Text Solution
|
0.06x + 0.045(100,000-x)=5,025 The equation above represents the fol...
Text Solution
|
As dry air moves upward , it expands and cools. If the temperature on ...
Text Solution
|
If the expression (3x^2)/(x+2) is written in the equivalent form 12/(x...
Text Solution
|
Because of anticipated heavy rain , the water level in a swimming pool...
Text Solution
|
The table above shows the relative abundance of mosquitoes (as measure...
Text Solution
|
The graph above shows the size of a certain population after time t. W...
Text Solution
|
A circle with center (2,1) has a tangent to the circle at (3,6). The e...
Text Solution
|
A research study was conducted to determine whether a certain electric...
Text Solution
|
Three circles with radii 1,2 and 3 inches are externally tangent to on...
Text Solution
|
If the value , to the nearest thousandth , of tan theta is -2.747, whi...
Text Solution
|
The weight of an object on or beneath the surface of the moon varies d...
Text Solution
|