Which of the following pairs is incorrect?

  • A
    Spirogyra - Filamentous
  • B
    Chlamydomonas - Unicellular
  • C
    Nostoc - Red algae
  • D
    Volvox - Colonial

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Consider the following statements $A$ and $B$ and identify the correct answer given below.
$A$. Peltier coefficient is numerically equal to the potential difference across the junctions of the thermocouple through which current is flowing.
$B$. According to Thomson,energy is neither absorbed nor evolved at the junction of a thermocouple but is absorbed or evolved only along the lengths of both the conductors.

The reason for the double helical structure of $DNA$ is the operation of

$\int \frac{dx}{\sqrt{x-x^2}}$ is equal to

The velocity of a particle which starts from rest is given by the following table. The total distance travelled (in metre) by the particle in $10 \ s$,using the Trapezoidal rule is given by:
$t$ (in second)$0$$2$$4$$6$$8$$10$
$v$ (in m/s)$0$$12$$16$$20$$35$$60$

$A$ bullet of mass $10 ~g$ is fired horizontally with a velocity $1000 ~ms^{-1}$ from a rifle situated at a height $50 ~m$ above the ground. If the bullet reaches the ground with a velocity $500 ~ms^{-1}$,the work done against air resistance in the trajectory of the bullet is : $(g=10 ~ms^{-2})$ (in $~J$)

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