The correct option for free expansion of an ideal gas under adiabatic condition is:

The total number of nodes are given by

Match the reactions given in Column I with the major product formed given in Column II.

S.No.	Reactions	S.No.	Major Product formed
A		P
B		Q
C		R
D		S

Identify the ore not containing iron

Name of the gas that can readily decolourise acidified \(\mathrm{KMnO}_4\) solution is

Choose the incorrect statement.

On the basis of VSEPR theory, match the molecules listed in Column I with their shapes given in Column II.

No.	Column I	No.	Column II
A	\(\mathrm{ClF_3}\)	P	Sea saw
B	\(\mathrm{BrF_5}\)	Q	Pentagonal bipyramidal
C	\(\mathrm{SF_4}\)	R	Square pyramidal
D	\(\mathrm{IF_7}\)	S	T-shaped

If \(49^n + 16n + k\) is divisible by 64 for \(n \in \mathbb{N}\), then the greatest negative integral value of \(k\) is

An object placed 40 cm in front of a thin convex lens is moved to 60 cm from the lens. If the focal length of the lens is 30 cm the ratio of magnification of the image at the initial position to the final position is:

Young's double slit experiment is first done in air and then in a medium of refractive index \(\mu\). If the 8th dark fringe in the medium lies where the 4th bright fringe is in air, then the value of \(\mu\) is:

In the given Redox equation, identify the stoichiometric coefficients \(\mathrm{w}, \mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\).
\(\mathrm{ClO}_3^{-1}+\mathrm{w} \mathrm{Cl}^{-1}+\mathrm{xH}^{+} \rightarrow \mathrm{y} \mathrm{H}_2 \mathrm{O}+\mathrm{zCl}_2\)

A proton is moving along negative X axis. If a uniform magnetic field is applied parallel to the positive Z axis, then choose the correct answer from the following options;
1. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XY plane
2. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XY plane
3. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XZ plane
4. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XZ plane

A 150 watt bulb emits light of wavelength \(6600 Å\) and only \(8 \%\) of the energy is emitted as light. How many photons are emitted by the bulb per second?