Physics-
General
Easy
Question
Which one of the following is the Young’s modules (in
for the wire having the stress-strain curve shown in the figure
![](data:image/png;base64,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)
The correct answer is: ![2.0 cross times 10 to the power of 11 end exponent](data:image/png;base64,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)
Young’s modulus is defined only in elastic region and
![Y equals fraction numerator S t r e s s over denominator S t r a i n end fraction equals fraction numerator 8 cross times 10 to the power of 7 end exponent over denominator 4 cross times 10 to the power of negative 4 end exponent end fraction equals 2 cross times 10 to the power of 11 end exponent N divided by m to the power of 2 end exponent](data:image/png;base64,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)
Related Questions to study
physics-
The diagram shows the change
in the length of a thin uniform wire caused by the application of stress
at two different temperatures
and
. The variation shown suggest that
![](data:image/png;base64,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)
The diagram shows the change
in the length of a thin uniform wire caused by the application of stress
at two different temperatures
and
. The variation shown suggest that
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)
physics-General
chemistry-
IfΔHf ofICl(g),Cl(g),andI(g)is17.57,121.34and 106.96Jmol–1respectively.Thenbonddissociation energyofIClbondis-
IfΔHf ofICl(g),Cl(g),andI(g)is17.57,121.34and 106.96Jmol–1respectively.Thenbonddissociation energyofIClbondis-
chemistry-General
chemistry-
Calculateenthalpychangeofthefollowingreaction H2C=CH2(g)+H2(g)→H3C–CH3(g) ThebondenergiesofC–H,C–C,C=C,H–Hare414, 347,615and435KJmol–1respectively-
Calculateenthalpychangeofthefollowingreaction H2C=CH2(g)+H2(g)→H3C–CH3(g) ThebondenergiesofC–H,C–C,C=C,H–Hare414, 347,615and435KJmol–1respectively-
chemistry-General
chemistry-
HeatevolvedinthereactionH2+Cl2 →2HClis 182KJ.BondenergiesofH–H and Cl–Clare430 and242KJ/mol respectively.The HCl bond energy is-
HeatevolvedinthereactionH2+Cl2 →2HClis 182KJ.BondenergiesofH–H and Cl–Clare430 and242KJ/mol respectively.The HCl bond energy is-
chemistry-General
chemistry-
Among the following for which reaction heat of reaction represents bond energy of HCl
Among the following for which reaction heat of reaction represents bond energy of HCl
chemistry-General
physics
The range of a galvanometer of resistance G ohm is V wolt. The resistance required to be connected in series with it in order to convert it into voltmeter of range
volt will be........
The range of a galvanometer of resistance G ohm is V wolt. The resistance required to be connected in series with it in order to convert it into voltmeter of range
volt will be........
physicsGeneral
physics
A galvanometer with resistance 100Ω is converted into an ammeter with a resistance of 0.1. The galvanometer shows full scale deflection with current of 100μA. Then what will be the minimum current in the circuit for fall scale deflection of galvanometer?
A galvanometer with resistance 100Ω is converted into an ammeter with a resistance of 0.1. The galvanometer shows full scale deflection with current of 100μA. Then what will be the minimum current in the circuit for fall scale deflection of galvanometer?
physicsGeneral
physics
A galvanometer of resistance 200Ω gives full scale deflection for a current of
A. To convert it into an anmeter capable of measuring upto 1A. What resistance should be connected in parallel with it ?
A galvanometer of resistance 200Ω gives full scale deflection for a current of
A. To convert it into an anmeter capable of measuring upto 1A. What resistance should be connected in parallel with it ?
physicsGeneral
physics
A moving coil galvanometer has 150 equal divisions, Hs current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each divisions reads 1 V . What will be the resistance in ohms needed to be connected in series with the coil?
A moving coil galvanometer has 150 equal divisions, Hs current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each divisions reads 1 V . What will be the resistance in ohms needed to be connected in series with the coil?
physicsGeneral
physics
A battery of 2 V and internal resistance 1 is used to send a current through a potentiometer wire of length 200 cm and resistance What is the potential gradieut of the wire?
A battery of 2 V and internal resistance 1 is used to send a current through a potentiometer wire of length 200 cm and resistance What is the potential gradieut of the wire?
physicsGeneral
physics
A potentiometer wire, which is 4 cm long is connected to the terminals of a battery of steady voltage A leclanche cell gives a nullpoint at 1 m if the length of the potentiometer wire be increased by 1 m, What is the new new position of the null point?
A potentiometer wire, which is 4 cm long is connected to the terminals of a battery of steady voltage A leclanche cell gives a nullpoint at 1 m if the length of the potentiometer wire be increased by 1 m, What is the new new position of the null point?
physicsGeneral
physics
In experiment of the potentiometer wire AB of length 100 cm has a resistance of 10Ω, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance.A Source of emf 10mV is balanced against a length of of 40 cm the poteatio meter wire. What is the value of the external resistance?
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)
In experiment of the potentiometer wire AB of length 100 cm has a resistance of 10Ω, It is connected in series with a resistance R and a cell of emf 2 volts and of negligible internal resistance.A Source of emf 10mV is balanced against a length of of 40 cm the poteatio meter wire. What is the value of the external resistance?
![](data:image/png;base64,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)
physicsGeneral
physics
If the deflection of the galvanometer is the same direction at both the ends of the potential meter wire, then point out the statement which is definitely not the possible reason for the.
If the deflection of the galvanometer is the same direction at both the ends of the potential meter wire, then point out the statement which is definitely not the possible reason for the.
physicsGeneral
Physics
In the experiment of potentiometer wire AB is 100 cm long shown in figure When AC=40 cm , no deflection oocurs in the galvanometer. What is the value of R ?
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)
In the experiment of potentiometer wire AB is 100 cm long shown in figure When AC=40 cm , no deflection oocurs in the galvanometer. What is the value of R ?
![](data:image/png;base64,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)
PhysicsGeneral
maths-
The area bounded between the parabola y2 = 4x and the line y = 2x – 4 is equal to
![](data:image/png;base64,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)
The area bounded between the parabola y2 = 4x and the line y = 2x – 4 is equal to
![](data:image/png;base64,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)
maths-General