Maths-
General
Easy
Question
If 
be real matrices (not necessasrily square) such that 
forthematrix 
consider the statements 
- II is true but not I
- I is true but not II
- both I and II are true
- both I and II are false
The correct answer is: both I and II are true
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If 
, then
Statement 
because
Statement 
:A.M 
for 
If , then
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Statement :A.M for
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If 
, then the value of 
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andy 
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at x=1 is
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Statement 1:Degree of differential equation 
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Statement 2: In the given D.E, the power of highest order derivative when expressed as a polynomials of derivatives is called degree
Statement 1:Degree of differential equation is not defined
Statement 2: In the given D.E, the power of highest order derivative when expressed as a polynomials of derivatives is called degree
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The solution of 
is
The solution of is
maths-General
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Solution of the equation 
is 
( where c is arbitrary constant)
Solution of the equation is ( where c is arbitrary constant)
maths-General
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Assertion (A) : If (2, 3) and (3,2) are respectively the orthocenters of 
and 
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Reason (R) :Circumcenters of triangles formed by mid‐points of sides of and pedal triangle of are same
Assertion (A) : If (2, 3) and (3,2) are respectively the orthocenters of and where D, E, F are mid points of sides of respectively then the centroid of either triangle is
Reason (R) :Circumcenters of triangles formed by mid‐points of sides of and pedal triangle of are same
Maths-General
physics-
Two metallic strings A and B of different materials are connected in series forming a joint. The strings have similar cross-sectional area. The length of A is 
and that of B is 
. One end of the combined string is tied with a support rigidly and the other end is loaded with a block of mass m passing over a frictionless pulley. Transverse waves are setup in the combined string using an external source of variable frequency. The total number of antinodes at this frequency with joint as node is (the densities of A and B are 
respectively)
Two metallic strings A and B of different materials are connected in series forming a joint. The strings have similar cross-sectional area. The length of A is and that of B is . One end of the combined string is tied with a support rigidly and the other end is loaded with a block of mass m passing over a frictionless pulley. Transverse waves are setup in the combined string using an external source of variable frequency. The total number of antinodes at this frequency with joint as node is (the densities of A and B are respectively)
physics-General
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A rod PQ of length ‘L’ is hung from two identical wires A and B. A block of mass ‘m’ is hung at point R of the rod as shown in figure. The value of ‘x’ so that the fundamental mode in wire A is in resonance with first overtone of B is
A rod PQ of length ‘L’ is hung from two identical wires A and B. A block of mass ‘m’ is hung at point R of the rod as shown in figure. The value of ‘x’ so that the fundamental mode in wire A is in resonance with first overtone of B is
physics-General
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The length of the wire shown in figure between the pulley is 1.5m and its mass is 12 gm. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest
The length of the wire shown in figure between the pulley is 1.5m and its mass is 12 gm. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest
physics-General
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In a sonometer wire, the tension is maintained by suspending a 20kg mass from the free end of the wire. The fundamental frequency of vibration is 300 Hz
If the tension is provided by two masses of 6kg and 14kg suspended from a pulley as show in the figure the fundamental frequency will
In a sonometer wire, the tension is maintained by suspending a 20kg mass from the free end of the wire. The fundamental frequency of vibration is 300 Hz
If the tension is provided by two masses of 6kg and 14kg suspended from a pulley as show in the figure the fundamental frequency will
physics-General
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A train A crosses a station with a speed of 40 m/s and whistles a short pulse of natural frequency 
. Another train B is approaching towards the same station with the same speed along a parallel track. Two tracks are d = 99m apart. When train A whistles, train B is 152m away from the station as shown in fig. If velocity of sound in air v m s = 330 / , calculate frequency of the pulse heard by driver of train B
A train A crosses a station with a speed of 40 m/s and whistles a short pulse of natural frequency . Another train B is approaching towards the same station with the same speed along a parallel track. Two tracks are d = 99m apart. When train A whistles, train B is 152m away from the station as shown in fig. If velocity of sound in air v m s = 330 / , calculate frequency of the pulse heard by driver of train B
physics-General
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Two tuning forks P and Q are vibrated together. The number of beats produced are represented by the straight line OA in the following graph. After loading Q with wax again these are vibrated together and the beats produced are represented by the line OB. If the frequency of P is 341 Hz, the frequency of Q will be ___
Two tuning forks P and Q are vibrated together. The number of beats produced are represented by the straight line OA in the following graph. After loading Q with wax again these are vibrated together and the beats produced are represented by the line OB. If the frequency of P is 341 Hz, the frequency of Q will be ___
physics-General
physics-
conditions of the experiment the velocity of sound in hydrogen is 1100 m/s and oxygen 300 m/s)
conditions of the experiment the velocity of sound in hydrogen is 1100 m/s and oxygen 300 m/s)
physics-General
