Radioactive isotopes are produced in a nuclear physics experiment at a constant rate `dN//dt=R` .An inductor of inductance 100 mH, a resistor of resistance `100 Omega` and a battery are connected to form a series circuit.the circuit is switched on at the instant the production of radioactive isotope starts. It is found that `i//N` remains constant in time where i is the current in the circuit at time t and N is the number of active nuclei at time t. Find the half-life of the isotope.
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An inductor of inducance 5.0 H, having a negligible resistance, is connected in series with a `100 Omega` resistor and a battery of emf 2.0 V. Find th
Correct Answer - A::B::D `v=v_(0)[1-e^(-t//tau)]=2[1-e^(-0.4)]=0.66 V`
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When an inductor coil is connected to an ideal battery of emf `10V`, a constant current `2.5 A` flows. When the same inductor coil is connected to an
When the coil is connected to `dc` source the final current is decided by the resistance of the coil. `therefore r=10/2.5=4 Omega` When the coil is connected to `ac` source,...
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An inductor `2//pi` Henry, a capacitor `100//T muF` and a resistor `75Omega` are connected in series across a source of emf `V=10sin 100pit`. Here t i
Correct Answer - `125 Omega,288 J`
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An inductor `20xx10^(-3)` a capacitor `100(mu)F` and a resistor `50 Omega` are connected in series across a source of emf `V=10 sin 314 t`. If resista
Correct Answer - `951.52 J;0.52 cos 314 t` Given that `L=20xx10^(-3) H` `C=100xx10^(-6) F` `R=50 Omega , omega=314` `V=10 sin 314 t , Deltat=20xx60` second (i)`DeltaH=I_(rms)^(2)R(Deltat)=(V_(0)/(sqrt2 Z))^(2) RxxDeltat` here `z=sqrt(R^(2)+(omegaL-1/(omegac))^(2))=sqrt((50)^(2)+(6.28-31.8)^(2))=56.15 Omega`...
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Prove that `^100 C_2^(100)C_2+^(100)C_2^(100)C_4+^(100)C_4^(100)C_6++^(100)C_(98)^(100)C_(100)=1/2[^(200)C_(98)-^(100)C_(49)]dot`
To find `S = .^(100)C_(0).^(100)C_(2)+.^(100)C_(2).^(100)C_(4)+.^(100)C_(4).^(100)C_(6)+"....."+.^(100)C_(98).^(100)C_(100)` Consider, `.^(100)C_(0).^(100)C_(2)+.^(100)C_(1).^(100)C_(3) + .^(100)C_(2).^(100)C_(4)+.^(100)C_(3)+.^(100)C_(5)+"...." + .^(100)C_(98).^(100)C_(100)` `= .^(100)C_(0).^(100)C_(98)+.^(100)C_(1).^(100)C_(97) + .^(100)C_(2).^(100)C_(96)+.^(100)C_(3).^(100)C_(95) + "....."+^(100)C_(98) .^(100)C_(0)` = Coefficients of `x^(98)` in `(1+x)^(100) (1+x)^(100)` `= .^(200)C_(98) " "(1)` Also,...
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A capacitor of capacitance C is having a charge `Q_(0)`. It is connected to a pure inductor of inductance L. The inductor is a solenoid having N turns
Correct Answer - `(1)/(2) sqrt((3L)/(C)) (Q_(0))/(N)`
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A radioactive element is produced in nuclear reactor at a constant rate R(=numbers of nuclei per second). Its half-life is `T_(1//2)`. How much time,
Correct Answer - `T_(1//2)`,No
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A 600`Omega` resistor and a 400`Omega` resistor are connected in series across a 90-volt line. A voltmeter acros the `600Omega` resistor reads 45V. Wh
Correct Answer - `1200 Omega,30 v`
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A inductor of 20mH inductance and a resistor of `100 Omega` resistance are connected in series to a battery of emf 10V. After a long time the circuit
Correct Answer - `6.7 xx 10^(-4)A`
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Energy produced in nuclear fusion is much larger than that produced in nuclear fission. Why is it difficult to use fusion to produce energy ?
Nuclear fusion involves the fusion of lighter nuclei to form a heavy nucleus which is accompanied by an enormous amount of energy (heat). Fusion reaction requires extremely high temperature typically of...
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