Physics-
General
Easy
Question
A solid sphere of mass
is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here
is the time in scond. All surfaces are smooth. The sphene is at rest with respect to the cube. what is the total force exerted by the sphene on the cube (g=10ms-2) )
![](data:image/png;base64,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)
The correct answer is: ![26 text end text N](data:image/png;base64,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)
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Three Forces
and
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physics-
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
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)
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
![](data:image/png;base64,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)
physics-General
chemistry-
In the reaction, 2FeSO4 + H2SO4 + H2O2 ® Fe2 (SO4)3 + 2H2O) the oxidizing agent is
In the reaction, 2FeSO4 + H2SO4 + H2O2 ® Fe2 (SO4)3 + 2H2O) the oxidizing agent is
chemistry-General
physics-
A lift is going up. The total mass of the lift and the passenger is 1000 kg The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at t= 10.5sec will be
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)
A lift is going up. The total mass of the lift and the passenger is 1000 kg The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at t= 10.5sec will be
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)
physics-General
Maths-
If is a homogeneous function of order
.
I)
II)
III)
Which of the above statements is correct ?
We have to remember all the three results instead of deriving them.
If is a homogeneous function of order
.
I)
II)
III)
Which of the above statements is correct ?
Maths-General
We have to remember all the three results instead of deriving them.
physics
Rockets are launched in eastward direction to take advantage of
Rockets are launched in eastward direction to take advantage of
physicsGeneral
physics
The additional K.E. to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R1 to another radius R2(R2>R1) is
The additional K.E. to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R1 to another radius R2(R2>R1) is
physicsGeneral
chemistry-
A reduction in atomic size with increase in atomic number is a characteristic of elements of
A reduction in atomic size with increase in atomic number is a characteristic of elements of
chemistry-General
physics
A satellite moves in a circle around the earth, the radius of this circle is equal to one half of the radius of the moon's orbit the satellite completes one revolution in
A satellite moves in a circle around the earth, the radius of this circle is equal to one half of the radius of the moon's orbit the satellite completes one revolution in
physicsGeneral
physics
Two satellites A and B go round a planet in circular orbits having rarely 4 R and If the speed of satellite A is 3V, then speed of satellite B is
Two satellites A and B go round a planet in circular orbits having rarely 4 R and If the speed of satellite A is 3V, then speed of satellite B is
physicsGeneral
chemistry-
The yellow coloured solution of salt of chromate ions change to orange colour on acidification due to the formation of
The yellow coloured solution of salt of chromate ions change to orange colour on acidification due to the formation of
chemistry-General
physics
A person sitting in a chair in a satellite feels weightless because
A person sitting in a chair in a satellite feels weightless because
physicsGeneral
physics
The time period of a satellite of earth is 5 hours If the separation between the earth and the satellite is increased to four times the previous value, the new time period will become ...... Hours
The time period of a satellite of earth is 5 hours If the separation between the earth and the satellite is increased to four times the previous value, the new time period will become ...... Hours
physicsGeneral
Maths-
If
is symmetric then trace of A is
If
is symmetric then trace of A is
Maths-General