When 2^256 is divided by 17, the remainder would be: (A) 1 (B) 16 (C) 14 (D) None of these

A brass boiler has a base area of $0.15 \mathrm{~m}^{2}$ and thickness $1.0 \mathrm{~cm}$. It boils water at the rate of $6.0 \mathrm{~kg} / \mathrm{min}$ when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass $=109 \mathrm{~J} \mathrm{~s}^{-1} \mathrm{~m}^{-1}$ $\mathrm{K}^{-1}$; Heat of vaporisation of water $=2256 \times 10^{3} \mathrm{~J} \mathrm{~kg}^{-1}$.

A particle with mass $m$ is held in circular orbit around the origin by an attractive force $F(r)=-Dr$, where $D$ is a positive constant. Assume that the Bohr model idea, that the angular momentum is quantized i.e. it takes only integral multiples of $\frac{h}{2\pi}$, holds. The value of energy in the $n$th orbit (Let the potential energy be zero when $r=0$): A $\frac{nh}{\pi} \sqrt{\frac{D}{M}}$ B $\left(\frac{n^{2}h^{2}}{\pi^{2}m}\right)^{\frac{1}{4}}$ C $\frac{nh}{2\pi} \sqrt{\frac{D}{M}}$ D $\left(\frac{n^{2}h^{2}D}{2\pi^{2}m}\right)^{\frac{1}{4}}$

The filament of a bulb glows due to:

• Heating effect of the electric current.

• Magnetic effect of electric current.

• Chemical effect of electric current.

• All of these.

When $3.0 \mathrm{~g}$ of carbon is burnt in $8.00 \mathrm{~g}$ oxygen, $11.00 \mathrm{~g}$ of carbon dioxide is produced. What mass of carbon dioxide will be formed when $3.00 \mathrm{~g}$ of carbon is burnt in $50.00 \mathrm{~g}$ of oxygen? Which law of chemical combination will govern your answer?

When a carpet is beaten with a stick, dust comes out of it, Explain.