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

24.

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

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 V_A, V_B and V_c respectively then,

• V_A =V_B =V_c

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