A bacterium divides after every 35 minutes. If a culture containing 105 cells per mL is grown, then cell concentration per mL after 175 minutes will be

Question

A bacterium divides after every 35 minutes. If a culture containing 105 cells per mL is grown, then cell concentration per mL after 175 minutes will be (A)  175× 105  (B)  125× 105  (C)  48× 105  (D)  32× 105

Tardigrade Admin · Accepted Answer

Bacteria generally divides by binary fission, in this one cell divide to produce two cells.

1 \times 1 0^{5}

cell

⟶ ⟶_{stdiv.} \times 1 0^{5} 2nddiv. ⟶ 4 \times 1 0^{5} 3rddiv. ⟶ 8 \times 1 0^{5} 4thdiv. ⟶ 16 \times 1 0^{5}

5thdiv. ⟶ 32 \times 1 0^{5}

So, cell concentration per

m L

after

175

minutes will be

32 \times 1 0^{5}

.

Q. A bacterium divides after every $35$ minutes. If a culture containing $1 0^{5}$ cells per mL is grown, then cell concentration per mL after $175$ minutes will be

$175 \times 1 0^{5}$

$125 \times 1 0^{5}$

$48 \times 1 0^{5}$

$32 \times 1 0^{5}$

Q. A bacterium divides after every 35 minutes. If a culture containing 105 cells per mL is grown, then cell concentration per mL after 175 minutes will be

175×105

125×105

48×105

32×105

Bacteria generally divides by binary fission, in this one cell divide to produce two cells. 1×105 cell ⟶⟶stdiv. ​×105 2nddiv. ⟶​4×105 3rddiv. ⟶​8×105 4thdiv. ⟶​16×105 5thdiv. ⟶​32×105 So, cell concentration per mL after 175 minutes will be 32×105.

Q. A bacterium divides after every $35$ minutes. If a culture containing $1 0^{5}$ cells per mL is grown, then cell concentration per mL after $175$ minutes will be

$175 \times 1 0^{5}$

$125 \times 1 0^{5}$

$48 \times 1 0^{5}$

$32 \times 1 0^{5}$