$A$ spherical rubber balloon carries a charge,uniformly distributed over the surface. As the balloon is blown up and increases in size,the total electric flux coming out of the surface

Two spherical bodies of mass $M$ and $5M$ and radii $R$ and $2R$ respectively are released in free space with an initial separation between their centres equal to $12\,R$. If they attract each other due to gravitational force only,then the distance covered by the smaller body just before collision is (in $, R$)

If $a>0$,then $\int_{-\pi}^\pi \frac{\sin ^2 x}{1+a^x} d x$ is equal to

$\int \cos^3 x \, e^{\log(\sin x)} \, dx$ is equal to

The major product in the following reaction is:

When light of wavelength $\lambda$ is incident on a photosensitive surface,the stopping potential is $V$. When light of wavelength $3 \lambda$ is incident on the same surface,the stopping potential is $\frac{V}{6}$. The threshold wavelength for the surface is: