A radioactive nucleus decays as given below:
\( {}_Z^A P \rightarrow {}_{Z+1}^A Q \rightarrow {}_{Z-1}^{A-4} R^* \rightarrow {}_{Z-1}^{A-4} R \)
Which particles are emitted in the sequence?

Identify the correct statements in the context of paramagnetic substances.
(A) In external magnetic field B, individual atomic dipole moment points in opposite direction of B.
(B) Susceptibility is small and positive.
(C) In non-uniform magnetic field, the paramagnetic bar will tend to move from weak field to strong.
(D) Examples of paramagnetic substances are Aluminium, Sodium and oxygen.
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A radiation of energy E is normally incident on a perfectly reflecting surface. The momentum transferred to the surface will be: (Given: speed of light c)

Find the drift velocity of electrons in a metal conductor having density of conduction electrons \(9 \times 10^{28} m^{-3}\) of cross sectional area \(2 \times 10^{-7} m^2\) carrying 2 A current :

An electron is projected into a magnetic field of flux density \( 10 \text{ Wb/m}^2 \) with a velocity of \( 3 \times 10^7 \text{ m/s} \) at an angle of \( 30^{\circ} \) to the field. The magnetic force on the electron is:

A 400 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 400 pF capacitor. The electrostatic energy lost in the process is

A solenoid of length 0.4 m having 500 turns of wire carries a current of 3 A.
A coil of 10 turns and radius 0.01 m carries a current of 0.4 A.
What will be the torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of the solenoid?

Arrange the following wall layers of microsporangium starting from outer to inner layer.
(A) Tapetum
(B) Endothecium
(C) Middle layers
(D) Epidermis
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Read the following passage carefully and answer the given questions.
Theory of Evolution
The evolution of life is a gradual process through which simple organisms are transformed into complex life forms over billions of years. It involves genetic changes, adaptation to the environment, and the emergence of diversity in species. Fossil records provide evidence of extinct life forms and transitional stages. Evolution is influenced by factors such as mutation, genetic recombination, and environmental pressure, shaping the biodiversity we see today. Charles Darwin and Alfred Russel Wallace were pioneering naturalists who developed the theory of evolution by natural selection.
Alfred Russel Wallace, a naturalist, arrived at conclusions similar to Darwin while working in:

The derivative of \(\sin \left(\tan ^{-1} e^{2 x}\right)\) with respect to x is:

The Isomerism shown by \([Cr(C_2O_4)_3]^{3-}\) is:

Match List I with List II

LIST I (Name of interaction)	LIST II ('o' represents neutral, '+'represents benificial, '-'represents detrimental)
A. Commensalism	I. -,-
B. Competition	II. +,+
C. Mutualism	III. -,0
D. Amensalism	IV. +,0

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A cube of side \( a \) has a charge \( Q \) at each of its vertices. What is the potential due to this charge array at the centre of the cube?