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Each of the two strings of length $51.6 \text{ cm}$ and $49.1 \text{ cm}$ are tensioned separately by $20 \text{ N}$ force. Mass per unit length of both the strings is same and equal to $1 \text{ g m}^{-1}$. When both the strings vibrate simultaneously the number of beats is:
A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^\circ\text{C}$, two successive resonances are produced at $20 \text{ cm}$ and $73 \text{ cm}$ column length. If the frequency of the tuning fork is $320 \text{ Hz}$, the velocity of sound in air at $27^\circ\text{C}$ is:
The time of reverberation of a room $A$ is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double those of room $A$?
The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of
In Young's double-slit experiment, if there is no initial phase difference between the light from the two slits, a point on the screen corresponding to the fifth minimum has a path difference:
Two coherent sources of light interfere and produce fringe patterns on a screen. For the central maximum, the phase difference between the two waves will be:
After passing through a polarizer, a linearly polarized light of intensity $I$ is incident on an analyser making an angle of $30^{\circ}$ with the axes of the polariser. The intensity of light emitted from the analyser will be:
If the monochromatic source in Young's double slit experiment is replaced by white light, then:
If the screen is moved away from the plane of the slits in Young's double slit experiment, then the:
The Brewster's angle for an interface should be:
In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the:
The dimensional formula of angular velocity is
The dimensional formula for impulse is same as the dimensional formula for
Dimensional formula of heat energy is
If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li² are:
If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV² are:
In S = a + bt + ct², S is measured in metres and t in seconds. The unit of c will be:
A cube has a numerically equal volume and surface area. The volume of such a cube is :
If C and L denote capacitance and inductance respectively, then the dimensions of LC are:
Unit of power is: