Which one of the following pairs is mismatched?

  • A
    Fossil fuel burning - release of $CO_2$
  • B
    Nuclear power - radioactive wastes
  • C
    Solar energy - Greenhouse effect
  • D
    Biomass burning - release of $CO_2$

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Identify the blank spaces $A, B, C$ and $D$ given in the following table and select the correct answer.
Types of MicrobesScientific NameCommercial Product
Bacterium$A$Clot buster enzyme
$B$Aspergillus nigerCitric acid
FungusTrichoderma polysporum$C$
Bacterium$D$Butyric acid

$ABC$ is a triangular plate of uniform thickness. Its sides are as shown in the figure. If $I_{AB}$,$I_{BC}$,and $I_{CA}$ are the moments of inertia of the plate about axes $AB$,$BC$,and $CA$ respectively,then which of the following relations is correct?

$A$ small metal sphere of radius $a$ is falling with a velocity $v$ through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is $\eta$,then the sphere encounters an opposing force of

Two bodies of masses $0.1\, kg$ and $0.4\, kg$ move towards each other with the velocities $1\, m/s$ and $0.1\, m/s$ respectively. After collision they stick together. In $10\, s$ the combined mass travels ............... $m$.

If tangents are drawn from any point on the circle $x^2+y^2=25$ to the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$,then the angle between the tangents is

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