Physics MCQs for NEET — Practice Questions with Answers

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Two parallel metal plates having charges +Q and -Q faces each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

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Explanation

When the parallel metal plates are dipped in kerosene oil, the electric field between the plates decreases. This is because the kerosene oil has a higher permittivity than vacuum or air, which reduces the effective electric field according to the relation E = E₀/κ, where κ is the relative permittivity.

The mean free path of electrons in a metal is 4×10-8m.The electric field which can give on an average 2 eV energy to an electron in the metal will be in a unit of Vm-1 :

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Explanation

    Energy=2eV

     eV0=2 eV

 V0=2

Now, electric field E=24×10-8

                          =0.5×108

                         =5×107 Vm-1

Four particles each having charge q are placed at the vertices of a square of side a. The value of the electric potential at the midpoint of one of the side will be

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If W be the amount of heat produced in the process of charging an uncharged capacitor then the amount of energy stored in it is

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Explanation

Energy stored in capacitor = Heat produced in process of charging

A metallic sphere of capacitance C1, charged to electric potential V1 is connected by a metal wire to another metallic sphere of capacitance C2 charged to electric potential V2. The amount of heat produced in the connecting wire during the process is

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Explanation

Initial charge on the spheres:

Q1=C1V1             &            Q2=C2V2Initial potential energy of the spheres-U1=12C1V12         and,                 U2=12C2V22Charges will flow between the spheres until they have same electric potential.Let q charge flows from sphere 1 to 2. Then,                          V1'=V2'                              Q1-qC1=Q2+qC2                      q=Q1C2-Q2C1C1+C2 = C1V1C2-C2V2C1C1+C2                      q=C1C2C1+C2V1-V2                      V1'=V2'=1C1Q1-C1C2C1+C2V1-V2                                       =1C1C1V1C1+C2-C1C2V1-V2C1+C2                                       =1C1C12V1-C1C2V2C1+C2                                       =C1V1-C2V2C1+C2Final Potential enrergy of the spheres-U1'=12C1V1'2=12C1C1V1-C2V2C1+C22U2'=12C2V2'2=12C2C1V1-C2V2C1+C22

Heat produced = Loss in potential energy                           =Initial potential enrgy - Final potential enrgy = Uf-Ui                           =U1+U2-U1'+U2'                           =12C1V12+C2V22-12C1+C2C1V1-C2V2C1+C22                           =12C1+C2C1V12+C2V22C1+C2-C1V1-C2V22                           =-12C12V12+C22V22-2C1V1C2V2-C12V12-C1C2V22-C1C2V12-C22V22C1+C2                           =12C1+C2C1C2V12+C1C2V22+2C1C2V1V2                           =C1C22C1+C2V1+V22

 

The electric potential at the surface of a charged solid sphere of insulator is 20V. The value of electric potential at its centre will be

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Explanation

For a solid charged non-conducting sphere, for an inside point at distance r from center

V=kQ2R3(3R2-r2)At center, r=0Vcenter=3kQ2R

At surface r=R, Vs=kQR Vcenter=3Vs2                   =32×20 = 30V

The capacitance of a parallel plate capacitor is C. If a dielectric slab of thickness equal to one-fourth of the plate separation and dielectric constant K is inserted between the plates, then new capacitance become

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Explanation

C1=kε0Ad×4C2=kε0A3d×4Ceq=C1C2C1+C2Ceq=4KC3K+1

The electric potential at a point in space due to charge Q is Q × 1012V. The value of an electric field at that point will be

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Explanation

(2)V=KQrQ×1012=9×109Qrr=9×103E=KQr2=9×109Q9×9×106E=Q×10159N/C

The electric potential at a point at distance 'r' from a short dipole is proportional to

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Explanation

V=KPr2

A hollow charged metal spherical shell has radius R. If the potential difference between its surface and a point at a distance 3R from the center is V, then the value of electric field intensity at a point at distance 4R from the center is

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Explanation

3.

V = KqR - Kq3R = 2Kq3RE = Kq16R2 = 3RV2 × 16R2E = 3V32R

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