The temperature coefficient of a resistance wire is `0.00 12.5^(@)C^(-1)`. At 300 K, its resistance is `1 Omega`. At what temperature the resistance of the wire will be `2 Omega` ?
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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
2 Answers 2 views
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...
2 Answers 1 views
A metre bridge wire of resistance 3 `Omega` is connected to a cell of emf 2 V and internal rsistance 1 `Omega` Claculate the p.d cm of the wire What l
Correct Answer - 0.015V//cm,full length of it
2 Answers 1 views
A five- wire potentiometer is connected to an accumulator emf 2.2 V and internal resistance 1 `Omega` The potentiometer wire has resistance of 1 `Omeg
Correct Answer - 1.833 V, 3.218 m, 2.39 `Omega`
2 Answers 3 views
A wire of resistance `10 Omega` is drawn out so that its length is thrice its original length. Calculate its new resistance (resistivity and density o
Correct Answer - `90 Omega`
2 Answers 1 views
The temperature coefficent of resistance of a wire is 0.00125 per `.^(@)C`, At 300 K, its resistance is `1Omega`. At what temperature will its resista
Correct Answer - `1173 K`
2 Answers 1 views
A standard coil marked `3 Omega` is found to have a true resistance of `3.115 Omega` at 300 K. Calculate the temperature at which marking is correct.
Correct Answer - `290.2 K`
2 Answers 1 views
The resistance of a silver wire at `0^(@)C " is " 1.25 Omega`. Upto what temperature it must be heated so that its resistance is doubled ? The tempera
Correct Answer - `267^(@)`, Yes
2 Answers 2 views
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