Ultraviolet radiations of 6.2 eV are incident on an aluminum surface of work function 4.2 eV. The maximum kinetic energy of the emitted electrons is

When a ray of light enters from denser medium to rarer medium, its velocity is doubled. The critical angle for total internal reflection will be :

Which of the following are true for optical instruments?
(A) A simple microscope is a converging lens of large focal length.
(B) A telescope is used to provide angular magnification of distant objects.
(C) The objective lens of a telescope has a smaller focal length than the eyepiece.
(D) The magnifying power of a telescope is the ratio of the focal length of the objective lens
to the focal length of the
eyepiece.
(E) A simple microscope is a converging lens of small focal length
Choose the correct answer from the options given below :

The resistance of a wire is \( R \, \Omega \). What will be its new resistance \( R_{new} \) if it is stretched to n times its original length?

In an AC circuit, the current leads the voltage by \(\pi/2\). The circuit is :

A coil having area A is placed in a magnetic field. The field is perpendicular to the plane of the coil. When the magnetic field changes from \( B_0 \) to \( 4B_0 \) in a time interval t, the magnitude of emf induced in the coil will be :

Two point changes \( - q \) and \( + q \) are located at points \( (0, 0, -a) \) and \( (0, 0, +a) \) respectively. The electric potential of a point \( (0, b, 0) \), where \( b > a \), is :

The area of the region \(\left\{(x, y): y \geq x^2\right.\) and \(\left.y \leq|x|\right\}\) is

Read the passage carefully and answer the questions based on the passage:
Pollen pistil interaction involves all events from the landing of pollen grains on the stigma until the pollen tube enters the embryo sac (when the pollen is compatible). When a pollen tube grows through the style and enters into the ovules, it finally discharges two male gametes in one of the synergids. Syngamy and triple fusion are two fusion events occur in angiosperms. Thus, angiosperms exhibit double fertilization. The products of these fusions are the diploid zygote and triploid primary endosperm nucleus. Zygote develops into embryo and primary endosperm cell forms the endosperm tissue. The developing embryo passes through different stages before maturation.
The coconut water from tender coconut, a good source of nutrition is nothing but:

Inner orbital complex among the following is :
(A) \(\text{[Co(NH}_3)_6\text{]}^{3+}\)
(B) \(\text{[CoF}_6\text{]}^{3-}\)
(C) \(\text{[Ni(CN)}_4\text{]}^{2-}\)
(D) \(\text{[MnCl}_6\text{]}^{3-}\)
(E) \(\text{[FeF}_6\text{]}^{3-}\)
Choose the correct answer from the options given below :

If \(x\) is real, the minimum value of \(f(x)=x^2-8 x+20\) is :

The interval(s), where the function \(f(x)=\left\{\begin{array}{l}\frac{1-e^x}{e^{2 x}-1}: x \neq 0 \\ -\frac{1}{2}: x=0\end{array}\right.\) is increasing, is/are:

The simplest form of \(\tan ^{-1}\left(\frac{x}{\sqrt{a^2-x^2}}\right)\) is, where \(-a < x < a\).