For the following questions answer them individually
A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which ofthe following gives the density of the gas ?
A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down andreleased, it oscillates with a time period of 3s. When the mass m is increased by 1kg, the time period of oscillations becomes 5s. The value of m in kg is
The second overtone of an. open organ pipe has the same frequency as the first overtone of a closedpipe L metre long. The length of the open pipe will be
Three sound waves of equal amplitudes have frequencies $$(n-1)$$, n, $$(n+1)$$. They superimpose to give beats. The number of beats produced per second will be
An electric dipole is placed at an angle of $$30^0c$$ with an electric field intensity $$2\times10^5\frac{N}{C}$$. It experiences a torque equal to 4Nm. The charge on the dipole, if the dipole length is 2 cm,is
A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants $$k_1,k_2,k_3$$ and $$k_4$$ as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by
A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. Whena resistance R is connected in series, it works perfectly and the bulb consumes 500 W. Thevalue of R is:
A long wire carrying a steady currentis bent into a circular loop of one turn. The magnetic field at the centre of the loop is B It is then bent into a circular coil of n turns. The magnetic field at the centre of this coil of n turns will be
A bar magnetis hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $$60^0$$ is W. Now the torque required to keep the magnet in this new position is