A platinum resistance thermometer makes use of the variation of a conductor with temperature. If the resistance of this thermometer is `5 Omega " at " 20^(@)C " and " 16 Omega` when inserted in a furnace, find the temperature of the furnace. Given `alpha` for the platinum `=0.0036^(@)C`.
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A cylindrical conductor has a resistance R. When the conductor is at a temperature `(T)` above its surrounding temperature `(T_0)`, the ratio of therm
Correct Answer - (i) `T=T_(0)+(V^(2))/(kR)(1-e^(-(kt)/(ms)))` (ii) `T=T_(0)+(V^(2))/(kR)`
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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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A potential difference of 10 V is applied across a conductor of resistance `1 k Omega`. Find the number of electrons flowing through the conductor in
Correct Answer - `1.875xx10^(19)`
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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 o
Correct Answer - `1127 K`
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Three resistors of `1 Omega, 2 Omega " and " 3 Omega` are combined in series. (i) What is the total resistance of the combination ? (ii) If the combin
Correct Answer - `(i) 6 Omega (ii) 2 V, 4 V, 6V`
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(i) Three resistors `2 Omega, 4 Omega " and " 5 Omega` are comined in parallel. What is the total resistance of the combination ? (ii) If the comnbina
Correct Answer - `(i) (20)/(19)Omega (ii) 10 A, 5 A, 4 A, 19 A`
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The resistance of two conductors in series is `18 Omega` and the resistance becomes `4 Omega` when connected in parallel. Find the resistance of indiv
Correct Answer - `12 Omega, 6 Omega`
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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