Find the time of relaxation between collsion and free path of electrons in copper at room temperature. Given resistivity of copper`=1.7xx10^(-8) Omega`m, number density of electrons in copper `=8.5xx10^(28) m^(-3)`, charge on electron`=1.6xx10^(-19)` C, mass of electron `=9.1xx10^(-3)` kg and drift velocity of free electrons`=1.6xx10^(-4) ms^(-1)`
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If `omega` is any complex number such that `z omega=|z|^(2)` and `|z-barz|+|omega+baromega|=4`, then as `omega` varies, then the area bounded by the l
Correct Answer - B `(b)` `zomega=|z|^(2)` `implieszomega=zbarz` `impliesomega=barz` `:. |z-barz|+|z+barz|=4` `:. |x|+|y|=2` which is a square `:.` Area `=8`sq. units
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If `alpha`, `beta`, `gamma in {1,omega,omega^(2)}` (where `omega` and `omega^(2)` are imaginery cube roots of unity), then number of triplets `(alpha,
Correct Answer - C `(c )` As `|(aalpha+bbeta+cgamma)/(a beta+bgamma+calpha)|=1` `implies` When `alpha`, `beta`, `gamma` are different, then number of triplet `(alpha,beta,gamma)=` permutation of `1`, `omega` and `omega^(2)=6` and when `alpha-beta=gamma`, number...
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If `y_(1)=max||z-omega|-|z-omega^(2)||`, where `|z|=2` and `y_(2)=max||z-omega|-|z-omega^(2)||`, where `|z|=(1)/(2)` and `omega` and `omega^(2)` are c
Correct Answer - C `(c )` We have `||z_(1)|-|z_(2)|| le |z_(1)-z_(2)|` and equality holds only when `argz_(1)=argz_(2)` `implies||z-w|-|z-w^(2)|| le |w^(2)-w| le sqrt(3)` and equality canhold only when `|z|=2` and not when...
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The resistance of 100m of copper wire of diameter `0.056 xx 10^(-2)` m is 6.62`Omega`. Calculate (i) resistivity, (ii) Electrical conductivity of copp
Correct Answer - (i) `1.63 xx 10^(-8)Omegam`
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In the circuits show `epsilon =15V, R_(1)= 1 Omega , R_(2) = 1 Omega, R_(3) = 2 Omega and L= 15 H` . Find the current `i_(1),i_(2),i_(3)` (i) immediat
Correct Answer - `(a) 7.5 A, 7.5A, 0 (b) 9 A, 6A, 3A (c) 0 A, 3 A , 3A`
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The number density of electrons and holes in intrinsic silicon at a given temperature is `4.94xx10^(10)cm^(-3)`. Calculate the resistivity and conduct
Correct Answer - `9xx10^(4)Omegacm, 11.1xx10^(-6)Scm^(-1)`
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A sample of germanium is doped to the extent of `10^(14)` donor atoms per `cm^(3)` and `7xx10^(13)` acceptor atoms per `cm^(3)`. The resistivity of pu
Correct Answer - `52.3mAcm^(-2)`
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Calculate the electric field in a copper wire of cross-sectional area `2.0 mm^(2)` carrying a current of 1 A. The resistivity of copper `=1.7xx10^(-8)
Correct Answer - `0.85xx10^(-2) Vm^(-1)`
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Given that resistivity of copper is `1.68xx10^(-8) Omega`m. Calculate the amount of copper required to draw a wire 10 km long having resistance of `10
Correct Answer - `1492.2 kg`
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A 20 V battery of internal resistance `1 Omega` is connected to three coils of `12 Omega, 6 Omega` and `4 Omega` in parallel, a resistor of `5Omega` a
Correct Answer - `1.2 A, 0.2 A, 0.4 A, 0.6 A, 18.8 V, 10.4 V`
2 Answers 1 views