A particle is executing SHM along a straight line. Its velocities at distance x1 and x2 from the mean position are v1 and v2, respectively. Its time period is
The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is
80 cm
100 cm
120 cm
120 cm
Figure below shows two paths that may be taken by a gas to go from a state A to a state C.
In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be
380 J
500 J
460 J
460 J
One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure.
The change in internal energy of the gas during the transition is
20 kJ
-20 kJ
20 J
20 J
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of a dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. which of the following is incorrect?
The potential difference between the plates decreases K times
The energy stored in the capacitor decreases K times
The change in energy stored is
The change in energy stored is
A potentiometer wire has length 4 m and resistance 8Ω. The resistance that must be connected in series with the wire and an accumulator of emf 2V, so as to get a potential gradient 1mV per cm on the wire is
32Ω
40Ω
44Ω
44Ω
Across a metallic conductor of non-uniform cross -section, a constant potential difference is applied. The quantity which remains constant along the conductor is
Current density
Current
drift velocity
drift velocity
A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance such that the impedance of the circuit becomes 'Z' the power drawn will be
A.
when a resistor is connected to an AC source. The power drawn will be
P=Vrms.Irms
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field will be given by
A, B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and Vc respectively then,
VA =VB =Vc