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General
Easy
Question
Particle sticks to wooden loop, If particle reach at the lowest position for first time after time T. Then displacement of centre of mass of system in this time interval will be :
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- None of these
The correct answer is: None of these
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One end of a light rod of length 1 m is attached with a string of length 1m. Other end of the rod is attached at point O such that rod can move in a vertical circle. Other end of the string is attached with a block of mass 2kg. The minimum velocity that must be given to the block in horizontal direction so that it can complete the vertical circle is (g = 10 m/s2 )
One end of a light rod of length 1 m is attached with a string of length 1m. Other end of the rod is attached at point O such that rod can move in a vertical circle. Other end of the string is attached with a block of mass 2kg. The minimum velocity that must be given to the block in horizontal direction so that it can complete the vertical circle is (g = 10 m/s2 )
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Two blocks of mass m1 and m2 (m1 < m2 ) are connected with an ideal spring on a smooth horizontal surface as shown in figure. At t = 0 m1 is at rest and m2 is given a velocity v towards right. At this moment, spring is in its natural length. Then choose the correct alternative :
Two blocks of mass m1 and m2 (m1 < m2 ) are connected with an ideal spring on a smooth horizontal surface as shown in figure. At t = 0 m1 is at rest and m2 is given a velocity v towards right. At this moment, spring is in its natural length. Then choose the correct alternative :
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A small bead of mass m = 1 kg is free to move on a circular hoop. The circular hoop has centre at C and radius r = 1 m and it rotates about a fixed vertical axis. The coefficient of friction between bead and hoop is µ = 0.5. The maximum angular speed of the hoop for which the bead does not have relative motion with respect to hoop, at the position shown in figure is : (Take g = 10 m/s2)
A small bead of mass m = 1 kg is free to move on a circular hoop. The circular hoop has centre at C and radius r = 1 m and it rotates about a fixed vertical axis. The coefficient of friction between bead and hoop is µ = 0.5. The maximum angular speed of the hoop for which the bead does not have relative motion with respect to hoop, at the position shown in figure is : (Take g = 10 m/s2)
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In the figure shown a semicircular area is removed from a uniform square plate of side ‘ l ’ and mass ‘m’ (before removing). The x-coordinate of centre of mass of remaining portion is (The origin is at the centre of square)
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Consider the system shown in figure. Pulley, string and spring are ideal and Dm << M. Initially spring is in it’s natural length and both the blocks are at rest. (Assume that initially Dm was situated at origin). Maximum y coordinate of Dm in subsequent motion is xmg/k then value of x is
Consider the system shown in figure. Pulley, string and spring are ideal and Dm << M. Initially spring is in it’s natural length and both the blocks are at rest. (Assume that initially Dm was situated at origin). Maximum y coordinate of Dm in subsequent motion is xmg/k then value of x is
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A ball is suspended from the top of a cart by a light string of length1.0 m. The cart and the ball are initially moving to the right at constant speed V, as shown in figure I. The cart comes to rest after colliding and sticking to a fixed bumper, as in figure II. The suspended ball swings through a maximum angle 60°.The initial speed V is (take g = 10 m/s2) (neglect friction)
A ball is suspended from the top of a cart by a light string of length1.0 m. The cart and the ball are initially moving to the right at constant speed V, as shown in figure I. The cart comes to rest after colliding and sticking to a fixed bumper, as in figure II. The suspended ball swings through a maximum angle 60°.The initial speed V is (take g = 10 m/s2) (neglect friction)
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A block of mass m and length l is kept at rest on a rough horizontal ground of friction coefficient mk . A man of mass m is standing at the right end. Now the man starts walking towards left and reaches the left end within time ‘t’. During this time, the displacement of the block is : (Assume the pressing force between the block and the ground remains constant and its value is same as it was initially. Also as sume that the block slides during the entire time (t))
A block of mass m and length l is kept at rest on a rough horizontal ground of friction coefficient mk . A man of mass m is standing at the right end. Now the man starts walking towards left and reaches the left end within time ‘t’. During this time, the displacement of the block is : (Assume the pressing force between the block and the ground remains constant and its value is same as it was initially. Also as sume that the block slides during the entire time (t))
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Two cells of emf e1 and e2 (e 2 < e1 ) are joined as shown in figure
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In the circuit diagram a capacitor which is initially uncharged is connected to an ideal cell of emf e through a resistor ‘R’. A leaky dielectric fills the space between the plates of dielectric. The capacitance of the capacitor with dielectric is C. Resistance of the dielectric is R¢ = R.
In the circuit diagram a capacitor which is initially uncharged is connected to an ideal cell of emf e through a resistor ‘R’. A leaky dielectric fills the space between the plates of dielectric. The capacitance of the capacitor with dielectric is C. Resistance of the dielectric is R¢ = R.
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AB is potentiometer wire of resistance per unit length 0.09 W/cm and e is an unknown emf of a battery to be measured. e cannot be measured using the potentiometer shown if the value of e is (select the most appropriate answer)
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The time when the voltage across the resistor drops to nearly 37% of the value just after the switch Sw is closed : (R = 100 kW, C = 1mF) is
The time when the voltage across the resistor drops to nearly 37% of the value just after the switch Sw is closed : (R = 100 kW, C = 1mF) is
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Three batteries are connected as shown in figure. Reading of ideal ammeters A1 ,A2 & A3 are :
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