The most abundant prokaryotes helpful to humans in making curd from milk and in production of antibiotics are categorised as
- Acyanobacteria
- Barchaebacteria
- Cchemosynthetic autotrophs
- Dheterotrophic bacteria
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Which one of the following plots is correct for a first order reaction?
$\int_{3}^{6} \frac{\sqrt{x}}{\sqrt{9-x} + \sqrt{x}} \, dx = $
For any integer $n \geq 2$,let $I_n = \int \tan^n x \, dx$. If $I_n = \frac{1}{a} \tan^{n-1} x - b I_{n-2}$ for $n \geq 2$,then the ordered pair $(a, b)$ equals to
Some physical quantities are given in List-$I$ and their related units are given in List-$II$. Match the correct pairs.
List-$I$ List-$II$ $(A)$ Magnetic field intensity $(i)$ $Wb$ $(B)$ Magnetic flux (ii) $Wb \cdot m^{-2}$ $(C)$ Magnetic pole strength (iii) $A \cdot m$ $(D)$ Magnetic induction (iv) $A \cdot m^{-1}$
| List-$I$ | List-$II$ |
| $(A)$ Magnetic field intensity | $(i)$ $Wb$ |
| $(B)$ Magnetic flux | (ii) $Wb \cdot m^{-2}$ |
| $(C)$ Magnetic pole strength | (iii) $A \cdot m$ |
| $(D)$ Magnetic induction | (iv) $A \cdot m^{-1}$ |
$A$ particle of charge $q$ and mass $m$ moves in a circular orbit of radius $r$ with angular speed $\omega$. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on
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