Maths-
General
Easy
Question
All points lying inside the triangle formed by the points (1, 3) (5, 0) and (-1, 2) satisfy
- 3x + 2y
0
- 2x + y – 13
0
- -2x + y
0
- None
The correct answer is: 3x + 2y
0
Related Questions to study
Physics-
In Young's double slit experiment with a monochromatic light of wavelength
, the fringe width is found to be 0.4 mm. When the slits are now illuminated with a light of wavelength
the fringe width will be
In Young's double slit experiment with a monochromatic light of wavelength
, the fringe width is found to be 0.4 mm. When the slits are now illuminated with a light of wavelength
the fringe width will be
Physics-General
Physics-
The magnetic field due to a current carrying square loop of side a at a point located symmetrically at a distance of a/2 from its centre (as shown is)
![](data:image/png;base64,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)
The magnetic field due to a current carrying square loop of side a at a point located symmetrically at a distance of a/2 from its centre (as shown is)
![](data:image/png;base64,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)
Physics-General
Physics-
A long wire carrying current i is bent to form a right angle as shown in figure .Then magnetic induction at point P on the bisector of this angle at a distance r from the vertex is
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)
A long wire carrying current i is bent to form a right angle as shown in figure .Then magnetic induction at point P on the bisector of this angle at a distance r from the vertex is
![](data:image/png;base64,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)
Physics-General
Physics-
Find the magnetic induction of the field at the point O of a loop with current I, whose shape is illustrated in fig. the radius a and the side b are known
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)
Find the magnetic induction of the field at the point O of a loop with current I, whose shape is illustrated in fig. the radius a and the side b are known
![](data:image/png;base64,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)
Physics-General
Physics-
Find the magnetic field at P due to the arrangement shown
![](data:image/png;base64,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)
Find the magnetic field at P due to the arrangement shown
![](data:image/png;base64,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)
Physics-General
Physics-
If the magnitude of the resultant magnetic field inductions at the points A, B and C due to the infinitely long parallel conductors carrying currents
in the direction shown are B. B and B respectively then, the ascending order of magnetic fields induction are
![](data:image/png;base64,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)
If the magnitude of the resultant magnetic field inductions at the points A, B and C due to the infinitely long parallel conductors carrying currents
in the direction shown are B. B and B respectively then, the ascending order of magnetic fields induction are
![](data:image/png;base64,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)
Physics-General
Physics-
Consider two different ammeters in which the deflections of the needle are proportional to current. The first ammeter is connected to a resistor of resistance
and the second to a resistor of unknown resistance
. At first the ammeters are connected in series between points A and B [as shown in fig. a)]. In this case the readings of the ammeters are
and
Then the ammeters are connected parallel between A and B as shown in fig.(B) and indicated
and
Determine the unknown resistance
of the second resistor.
![](data:image/png;base64,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)
Consider two different ammeters in which the deflections of the needle are proportional to current. The first ammeter is connected to a resistor of resistance
and the second to a resistor of unknown resistance
. At first the ammeters are connected in series between points A and B [as shown in fig. a)]. In this case the readings of the ammeters are
and
Then the ammeters are connected parallel between A and B as shown in fig.(B) and indicated
and
Determine the unknown resistance
of the second resistor.
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)
Physics-General
Physics-
A voltmeter of resistance
and an ammeter of resistance
are conected in series across a battery of negligible internal resistance. When a resistance R is connected in parallel to voltmeter, reading of ammeter increases three times while that of voltmeter reduces to one third. Find
and
in terms of R.
![](data:image/png;base64,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)
A voltmeter of resistance
and an ammeter of resistance
are conected in series across a battery of negligible internal resistance. When a resistance R is connected in parallel to voltmeter, reading of ammeter increases three times while that of voltmeter reduces to one third. Find
and
in terms of R.
![](data:image/png;base64,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)
Physics-General
Physics-
A galvanometer of resistance
,shunted by a resistance of 5 ohm gives a deflection of 50 divisions when joined in series with a resistance of
and a 2 volt accumulator. What is the current sensitivity of the galvanometer (in div/
(A) ?
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)
A galvanometer of resistance
,shunted by a resistance of 5 ohm gives a deflection of 50 divisions when joined in series with a resistance of
and a 2 volt accumulator. What is the current sensitivity of the galvanometer (in div/
(A) ?
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)
Physics-General
Physics-
A galvanometer has a current sensitivity of 1mA per division. A variable shunt is connected across the galvanometer and the combination is put in series with a resistance of
and cell of internal resistance
. It gives a deflection of 5 division for shunt of 5 ohm and 20 division for shunt of 25 ohm. Find the emf of cell and resistance of galvanometer.
![](data:image/png;base64,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)
A galvanometer has a current sensitivity of 1mA per division. A variable shunt is connected across the galvanometer and the combination is put in series with a resistance of
and cell of internal resistance
. It gives a deflection of 5 division for shunt of 5 ohm and 20 division for shunt of 25 ohm. Find the emf of cell and resistance of galvanometer.
![](data:image/png;base64,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)
Physics-General
Physics-
A thin non conducting disc of radius R is rotating clockwise (see figure) with an angular velocity w about its central axis, which is perpendicular to its plane. Both its surfaces carry +ve charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field B parallel to the plane of the disc, as shown. Then,
![](data:image/png;base64,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)
A thin non conducting disc of radius R is rotating clockwise (see figure) with an angular velocity w about its central axis, which is perpendicular to its plane. Both its surfaces carry +ve charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field B parallel to the plane of the disc, as shown. Then,
![](data:image/png;base64,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)
Physics-General
Physics-
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
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)
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
![](data:image/png;base64,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)
Physics-General
Physics-
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
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)
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
![](data:image/png;base64,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)
Physics-General
Physics-
A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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Physics-General
Physics-
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
Physics-General