Maths-
If
is defined by

Maths-General
- one-one and not onto
- one-one and onto
- not one-one but onto
- neither one-one nor onto
Answer:The correct answer is: not one-one but onto
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physics
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
A car moving over a straight path covers a distance x with constant speed 10ms-1 and then the same distance with constant speed of V1.If average speed of the car is , 16 ms-1 then V2=...
physicsGeneral
physics-
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
Or
A copper wire of negligible mass, 1 m length and cross-sectional area
is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotated with an angular velocity 20 rad
If the elongation in the wire is
, then the Young’s modulus is
physics-General
Or
physics-
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = 
Since, cross-sections are equal and same tension exists in both the wires, therefore, the stresses developed are equal.
Also,
Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = 
physics-General
Since, cross-sections are equal and same tension exists in both the wires, therefore, the stresses developed are equal.
Also,
physics-
The relation between
and
for a elastic material is
The relation between
and
for a elastic material is
physics-General
maths-
If
is defined by
then 
If
is defined by
then 
maths-General
physics-
Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is

From Biot-Savart’s law the magnetic field
due to a conductor carrying current
at a distance
is

Magnetic field at
due to current in second conductor is

From Fleming’s right hands rule the fields at
are directed opposite.


Given,



Magnetic field at
From Fleming’s right hands rule the fields at
Given,

Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is

physics-General
From Biot-Savart’s law the magnetic field
due to a conductor carrying current
at a distance
is

Magnetic field at
due to current in second conductor is

From Fleming’s right hands rule the fields at
are directed opposite.


Given,



Magnetic field at
From Fleming’s right hands rule the fields at
Given,

physics-
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is

Magnetic field at mid-point due to wire 

Magnetic field at mid-point due to wire

Resultant of Magnetic field


Magnetic field at mid-point due to wire
Resultant of Magnetic field
Two long straight wires are set parallel to each other. Each carries a current
in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is

physics-General
Magnetic field at mid-point due to wire 

Magnetic field at mid-point due to wire

Resultant of Magnetic field


Magnetic field at mid-point due to wire
Resultant of Magnetic field
physics-
A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is

A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is

physics-General
physics-
In the figure shown, the magnetic field induction at the point
will be

Field due to a straight wire of infinite length is
if the point is on a line perpendicular to its length while at the centre of a semicircular coil is
.



out of the page

In the figure shown, the magnetic field induction at the point
will be

physics-General
Field due to a straight wire of infinite length is
if the point is on a line perpendicular to its length while at the centre of a semicircular coil is
.



out of the page

physics-
PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes

Magnetic field at mid-point
in first case is 


When the current 2 A is switched off, the net magnetic field at
is due to current 1 A

When the current 2 A is switched off, the net magnetic field at
PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes

physics-General
Magnetic field at mid-point
in first case is 


When the current 2 A is switched off, the net magnetic field at
is due to current 1 A

When the current 2 A is switched off, the net magnetic field at
physics-
Current through ABC and A’ B’ C’ is I. What is the magnetic field at P?
(Here C’ B’ PBC are collinear)

Magnetic field 


Current through ABC and A’ B’ C’ is I. What is the magnetic field at P?
(Here C’ B’ PBC are collinear)

physics-General
Magnetic field 


physics
The ratio of pathlength and the respective time interval is
The ratio of pathlength and the respective time interval is
physicsGeneral
physics
A particle is thrown in upward direction with initial velocity of 60 m/s. Find average speed and average velocity after 10 seconds. [g =10 MS2]
A particle is thrown in upward direction with initial velocity of 60 m/s. Find average speed and average velocity after 10 seconds. [g =10 MS2]
physicsGeneral
physics-
The work done in deforming body is given by
Let L be length of body, A the area of cross-section and
the increase in length.

Force necessary to deform the body is

If body is deformed by a distance, then




Hence, work done for unit volume is

Force necessary to deform the body is
If body is deformed by a distance, then
Hence, work done for unit volume is
The work done in deforming body is given by
physics-General
Let L be length of body, A the area of cross-section and
the increase in length.

Force necessary to deform the body is

If body is deformed by a distance, then




Hence, work done for unit volume is

Force necessary to deform the body is
If body is deformed by a distance, then
Hence, work done for unit volume is
physics-
A wire of length
and radius
is stretched between
and
without the application of any tension. If
is the Young’s modulus of the wire and it is stretched like
, then the tension in the wire will be

Increase in length of one segment of wire
So,
A wire of length
and radius
is stretched between
and
without the application of any tension. If
is the Young’s modulus of the wire and it is stretched like
, then the tension in the wire will be

physics-General
Increase in length of one segment of wire
So,