An electric dipole of dipole moment \(5 \times 10^{-6} \mathrm{Cm}\) is placed in a uniform electric field of \(10^{-2} \mathrm{~N} / \mathrm{C}\) making an angle of \(30^{\circ}\) with the direction of the field. The torque exerted by the electric field on the dipole is:

Arrange the following elements of a generalised communication system in the sequencial order :
(A) Channel
(B) Information source
(C) Transmitter
(D) Receiver
(E) User of information
Choose the correct answer from the options given below :

Three capacitors, C1, C2, C3 are connected in series. This combination is connected in parallel with capacitor C4. C1 = C2 = C3 = 30 \( \mu F \) and C4 = 10 \( \mu F \). Now a potential 400 V is applied across the combination. The total charge across the combination of capacitors is

A negatively charged object A is repelled by another charged object B. However, an object C is attracted to object B.
Which of the following is the most probable for the charge of object C?

A parallel plate capacitor filled with oil of dielectric constant \( k = 3 \), has a capacitance \( C \). After removing the oil between the plates, the capacitance of the capacitor will become:

Which one of the following statements is incorrect:

Under forward-bias of a p-n diode
(A) p-side of the diode is connected to the positive terminal of the battery and n-side to the
negative terminal
(B) p-side of the diode is connected to the negative terminal of the battery and n-side to the
positive terminal
(C) The direction of the applied voltage (V) is opposite to the built-in potential drop
(D) The direction of the applied voltage (V) is the same as the built-in potential drop
(E) The magnitude of the diode forward current is usually in mA
Choose the correct answer from the options given below :

Match List-I with List-II

List - I	List - II
(A) \(\sin ^{-1}(-1)\)	(I) \(\frac{5 \pi}{6}\)
(B) \(\cot ^{-1}(-1)\)	(II) \(-\frac{\pi}{2}\)
(C) \(\sec ^{-1}\left(-\frac{2}{\sqrt{3}}\right)\)	(III) \(\frac{\pi}{4}\)
(D) \(\tan ^{-1}(1)\)	(IV) \(\frac{3 \pi}{4}\)

Choose the correct answer from the options given below :

Read the passage and answer the question : There are thousands of varieties of rice in India alone. The diversity of rice in India is one of the richest in the world. Basmati rice is distinct for its unique aroma and flavour and 27 documented varieties of Basmati are grown in India. There is reference to Basmati in ancient texts, folklore and poetry, as it has been grown for centuries. Several attempts have also been made to patent uses, products and processes based on Indian traditional herbal medicine, e.g. turmeric, neem. There has been growing realisation of the injustice, inadequate compensation and benefit sharing between developed and developing countries. The Indian Parliament has recently cleared a Bill that takes such issues into consideration, including patent terms emergency provisions and research and development initiative.
The bill cleared by Indian Parliament to check unauthorised exploitation of bioresources and traditional knowledge of bio-resources is

Read the passage carefully. Attempt the questions.
An overwhelming majority (99 per cent) of animals and nearly all plants cannot maintain a constant internal environment. Their body temperature changes with the ambient temperature. In aquatic animals, the osmotic concentration of the body fluids change with that of the ambient air and water osmotic concentration. These animals and plants are simply conformers. Considering the benefits of a constant internal environment to the organism, we must ask why these conformers had not evolved to become regulators. Recall the human analogy we used above; much as they like, how many people can really afford an air conditioner? Many simply 'sweat it out' and resign themselves to suboptimal performance in hot summer months. Very small animals are rarely found in polar regions. During the course of evolution, the costs and benefits of maintainin a constant internal environment are taken into consideration. Some species have evolved the ability to regulate, but only over a limited range of environmental conditions, beyond which they simply conform.
If the stressful external conditions are localised or remain only for a short duration, the organism has five other alternatives for survival.
Identify the animal which is NOT a conformer.

The work function for a metal is 4.14 eV. The threshold wavelength for this metal surface is:
(\( h = 6.62 \times 10^{-34} \text{ J s}, c = 3 \times 10^8 \text{ m s}^{-1} \))

If \(\left|\begin{array}{ccc}x+4 & 2 x & 2 x \\ 2 x & x+4 & 2 x \\ 2 x & 2 x & x+4\end{array}\right|=k(x-4)^2\), then value of \(k\) is :

When light travels from one medium to another, then its