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Three sound waves of equal amplitudes have frequencies of $(n-1), n,$ and $(n+1)$. They superimpose to give beats. The number of beats produced per second will be:
Two sound waves with wavelengths $5.0 \text{ m}$ and $5.5 \text{ m}$, respectively, propagate in a gas with a velocity of $330 \text{ m/s}$. How many beats per second can we expect?
Which one of the following statements is not true regarding (+) lactose?
Two equally charged, identical metal spheres A and B repel each other with a force $F$. The spheres are kept fixed with a distance $r$ between them. A third identical, but uncharged sphere C is brought in contact with A, then brought in contact with B, and finally placed at the mid-point of the line joining A and B. The magnitude of the net electric force on C is:
Two point charges A and B, having charges +Q and −Q respectively, are placed at a certain distance apart and the force acting between them is F. If 25% charge of A is transferred to B, then the force between the charges becomes:
$4.0 \text{ gm}$ of gas occupies $22.4 \text{ litres}$ at NTP. The specific heat capacity of the gas at a constant volume is $5.0 \text{ J K}^{-1}\text{mol}^{-1}$. If the speed of sound in the gas at NTP is $952 \text{ ms}^{-1}$, then the molar heat capacity at constant pressure will be: ($R=8.31 \text{ J K}^{-1}\text{mol}^{-1}$)
In Young's double slit experiment, the slits are $2\text{ mm}$ apart and are illuminated by photons of two wavelengths, $\lambda_1 = 12000\text{ \AA}$ and $\lambda_2 = 10000\text{ \AA}$. At what minimum distance from the common central bright fringe on the screen $2\text{ m}$ from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?
Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is $6.5 \times 10^{-7}$ C? (The radii of A and B are negligible compared to the distance of separation.)
A point charge +10 μC is at a distance 5 cm directly above the centre of a square of side 10 cm, as shown in the figure. What is the magnitude of the electric flux through the square?
A body is thrown vertically upwards. If the air resistance is to be taken into account, then the time during which the body rises is:
In Young's double-slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes:
Arrange the elements Li, Be, B, C, and N in increasing order of their first ionization enthalpies:
The current in an inductor of self-inductance $4 \text{ H}$ changes from $4 \text{ A}$ to $2 \text{ A}$ in $1 \text{ s}$. The emf induced in the coil is:
A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:
A string of length $l$ is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is $2\text{ mm}$. The amplitude of a particle at a distance $l/8$ from the fixed end is:
The angular width of the central maximum in the Fraunhofer diffraction for $\lambda = 6000 \text{ \AA}$ is $\theta_0$. When the same slit is illuminated by another monochromatic light, the angular width decreases by $30\%$. The wavelength of this light is:
Each of the two strings of lengths $51.6 \text{ cm}$ and $49.1 \text{ cm}$ is tensioned separately by $20 \text{ N}$ of force. The mass per unit length of both strings is the same and equals $1 \text{ g/m}$. When both the strings vibrate simultaneously, the number of beats is:
The magnetic flux linked to a circular coil of radius R is given by: $\phi = 2t^3 + 4t^2 + 2t + 5$ Wb. What is the magnitude of the induced EMF in the coil at $t = 5$ s?
pH of a saturated solution of $Ca(OH)_2$ is 9. The solubility product ($K_{sp}$) of $Ca(OH)_2$ is:
A particle of mass $5m$ at rest suddenly breaks on its own into three fragments. Two fragments of mass $m$ each move along mutually perpendicular directions with speed $v$ each. The energy released during the process is: