The half-life of 6 C 14 if its K or lambda is 2-31 - 10-4 is A- 2 - 102 yrsB- 3 - 103 yrsC- 3-5 - 104 yrsD- 4 - 103 yrs

T_1/2=0.693/k=0.693/2.31×10^ 4=0.3× 10^4 yrs =3.0×10^3 yrs. ...

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Standard XI

Mathematics

Arithmetic Progression

The half-life...

Question

The half-life of $_{6} C^{14}$ if its K or \lambda is $2.31 \times 10^{- 4}$ is

2 \times 10^{2} y r s

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3 \times 10^{3} y r s

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3.5 \times 10^{4} y r s

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4 \times 10^{3} y r s

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Solution

The correct option is B $3 \times 10^{3} y r s$
$t_{\frac{1}{2}} = \frac{0.693}{k} = \frac{0.693}{2.31 \times 10^{- 4}} = 0.3 \times 10^{4} y r s$
$= 3.0 \times 10^{3} y r s$ .

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Similar questions

Q. The half-life of

_{6} C^{14}

if its K or \lambda is

2.31 \times 10^{- 4}

Write the numeral whose expanded form is given below:
(i) $6 \times 10^{4} + 3 \times 10^{3} + 0 \times 10^{2} + 7 \times 10^{1} + 8 \times 10^{0}$
(ii) $9 \times 10^{6} + 7 \times 10^{5} + 0 \times 10^{4} + 3 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 2 \times 10^{0}$
(iii) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

Find the number from each of the following expanded forms:

(a) 8 × 10⁴ + 6 × 10³ + 0 × 10² + 4 × 10¹ + 5 × 10⁰

(b) 4 × 10⁵+ 5 × 10³+ 3 × 10²+ 2 × 10⁰

(d) 9 × 10⁵ + 2 × 10² + 3 × 10¹

Q. The half-life

_{6} C^{14}

, if its

λ

{2.31 \times 10}^{- 4} y e a r^{- 1}

, is:

Find the value of

$(2 \times 10^{4}) + (3 \times 10^{3}) + (1 \times 10^{2}) + (6 \times 10^{1}) + (7 \times 10^{0}) + (4 \times 10^{- 1}) + (2 \times 10^{- 2}) + (8 \times 10^{- 3})$

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The half-life of 6C14 if its K or \lambda is 2.31×10−4 is

The correct option is B 3×103 yrst12=0.693k=0.6932.31×10−4=0.3×104 yrs =3.0×103 yrs.

The half-life of $_{6} C^{14}$ if its K or \lambda is $2.31 \times 10^{- 4}$ is

The correct option is B $3 \times 10^{3} y r s$
$t_{\frac{1}{2}} = \frac{0.693}{k} = \frac{0.693}{2.31 \times 10^{- 4}} = 0.3 \times 10^{4} y r s$
$= 3.0 \times 10^{3} y r s$ .