Hole is-

The two coherent monochromatic light beams of intensities \( I \) and \( 4I \) are superposed. The maximum and minimum possible intensities in the resulting beams are :

A bar magnet falls freely from a height of 9.8 m through a metal ring. Its acceleration will be equal to

The electric field intensity at the mid point of a dipole with charge \( \pm q \) and dipole length \( 2a \) is:

Which of the following has the maximum penetration power ?

Two identical short bar magnets each of magnetic moment \( 12.5 \text{ Am}^2 \) are placed with 10 cm separation between their centers as shown in the figure. The magnitude of magnetic field at O is

In a diffraction pattern due to a narrow slit of width a, alternate dark and bright fringe pattern is obtained on a screen kept at distance D from the slit. Choose the correct option.
(A) The angular width of central maximum is given by 2D/a, linear width is given by 2D\lambda/a
(B) When the size of aperture, a is quite large, the diffraction effect is negligible,
(C) For light of smaller wavelength, angular width of central maximum increases, while linear width decreases,
(D) Angular width of central maximum does not decrease while linear width decreases on decreasing distance of screen from slit.
Choose the correct answer from the options given below:

\(\int \frac{f^{\prime}(x)}{f(x) \log _e[f(x)]} d x\) is equal to

The probability distribution of a discrete random variable x is given below:

\(x\)	\(2\)	\(3\)	\(4\)	\(5\)
\(p(x)\)	\(\frac{5}{k}\)	\(\frac{7}{k}\)	\(\frac{9}{k}\)	\(\frac{10}{k}\)

The value of \(k\) is

Which of the following primates was more like an ape?

The aqueous solution containing which one of the following ions will be colourless? (Atomic numbers: \(Sc = 21, Fe = 26, Ti = 22, Mn = 25\))

A first order reaction is found to have a rate constant \(k = 5.5 \times 10^{-14}\ s^{-1}\).
Find the half-life of the reaction.

If \(\left[\begin{array}{cc}2 & -1 \\ 1 & 0 \\ -3 & 4\end{array}\right] A=\left[\begin{array}{ccc}-1 & -8 & -10 \\ 1 & -2 & -5 \\ 9 & 22 & 15\end{array}\right]\), then matrix \(A\) is equal to: