Physics-
General
Easy

Question

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations i), ii) and iii) are in the ratio

  1. 1 blank colon square root of 2 blank colon fraction numerator 1 over denominator square root of 2 end fraction    
  2. 2 blank colon blank square root of 2 blank colon fraction numerator 1 over denominator square root of 2 end fraction    
  3. fraction numerator 1 over denominator square root of 2 end fraction blank colon 2 blank colon 1    
  4. 2 blank colon fraction numerator 1 over denominator square root of 2 end fraction blank colon 1    

The correct answer is: 1 blank colon square root of 2 blank colon fraction numerator 1 over denominator square root of 2 end fraction


    T proportional to fraction numerator 1 over denominator square root of k end fraction rightwards double arrow T subscript 1 end subscript colon T subscript 2 end subscript colon T subscript 3 end subscript equals fraction numerator 1 over denominator square root of k end fraction colon fraction numerator 1 over denominator square root of k divided by 2 end root end fraction colon fraction numerator 1 over denominator square root of 2 k end root end fraction equals 1 colon square root of 2 colon fraction numerator 1 over denominator square root of 2 end fraction

    Related Questions to study

    General
    physics-

    A mass M is attached to a horizontal spring of force constant k fixed on one side to a rigid support as shown in figure. The mass oscillates on a frictionless surface with time period T and amplitude A . When the mass is in equilibrium position. Another mass m is gently placed on it. What will be the new amplitude of oscillations?

    A mass M is attached to a horizontal spring of force constant k fixed on one side to a rigid support as shown in figure. The mass oscillates on a frictionless surface with time period T and amplitude A . When the mass is in equilibrium position. Another mass m is gently placed on it. What will be the new amplitude of oscillations?

    physics-General
    General
    physics-

    Which of the following figure represent(s) damped simple harmonic motions?

    Which of the following figure represent(s) damped simple harmonic motions?

    physics-General
    General
    physics-

    A ball of mass 1 kg is attached to an inextensible string. The ball is released from the position shown in figure. The impulse imparted by the string to the ball immediately after the string becomes taut is

    A ball of mass 1 kg is attached to an inextensible string. The ball is released from the position shown in figure. The impulse imparted by the string to the ball immediately after the string becomes taut is

    physics-General
    parallel
    General
    physics-

    A block of mass 2 kg is moving on a frictionless horizontal surface with a velocity of 1 m/s towards another block of equal mass kept at rest. The spring constant of the spring fixed at one end is 100 N/m. Find the maximum compression of the spring.

    A block of mass 2 kg is moving on a frictionless horizontal surface with a velocity of 1 m/s towards another block of equal mass kept at rest. The spring constant of the spring fixed at one end is 100 N/m. Find the maximum compression of the spring.

    physics-General
    General
    physics-

    A body of mass 3 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentumequals 0)

    A body of mass 3 kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by (given initial momentumequals 0)

    physics-General
    General
    physics-

    A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constant k. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle theta in one direction and released. The frequency of oscillation is

    A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constant k. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle theta in one direction and released. The frequency of oscillation is

    physics-General
    parallel
    General
    physics-

    The frequency of oscillation of the springs shown in the figure will be

    The frequency of oscillation of the springs shown in the figure will be

    physics-General
    General
    physics-

    The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

    The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

    physics-General
    General
    physics-

    A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t equals 0. It then executes simple harmonic motion with angular frequency omega equals fraction numerator pi over denominator 3 end fraction r a d divided by s. Simultaneously at t equals 0 comma a small pebble is projected with speed v frompoint P is at angle of 45 degree as shown in the figure. Point P is at a horizontal distance of 10 blank m from O. If the pebble hits the block at t equals 1 s comma the value of v is (take g equals 10 m divided by s to the power of 2 end exponent)

    A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t equals 0. It then executes simple harmonic motion with angular frequency omega equals fraction numerator pi over denominator 3 end fraction r a d divided by s. Simultaneously at t equals 0 comma a small pebble is projected with speed v frompoint P is at angle of 45 degree as shown in the figure. Point P is at a horizontal distance of 10 blank m from O. If the pebble hits the block at t equals 1 s comma the value of v is (take g equals 10 m divided by s to the power of 2 end exponent)

    physics-General
    parallel
    General
    physics-

    A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t equals 0. It then executes simple harmonic motion with angular frequency omega equals fraction numerator pi over denominator 3 end fraction r a d divided by s. Simultaneously at t equals 0 comma a small pebble is projected with speed v frompoint P is at angle of 45 degree as shown in the figure. Point P is at a horizontal distance of 10 blank m from O. If the pebble hits the block at t equals 1 s comma the value of v is (take g equals 10 m divided by s to the power of 2 end exponent)

    A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t equals 0. It then executes simple harmonic motion with angular frequency omega equals fraction numerator pi over denominator 3 end fraction r a d divided by s. Simultaneously at t equals 0 comma a small pebble is projected with speed v frompoint P is at angle of 45 degree as shown in the figure. Point P is at a horizontal distance of 10 blank m from O. If the pebble hits the block at t equals 1 s comma the value of v is (take g equals 10 m divided by s to the power of 2 end exponent)

    physics-General
    General
    physics-

    A projectile of mass m is fired with velocity v from a point P as shown. Neglecting air resistance, the magnitude of the changed in momentum between the points P and arriving at Q is

    A projectile of mass m is fired with velocity v from a point P as shown. Neglecting air resistance, the magnitude of the changed in momentum between the points P and arriving at Q is

    physics-General
    General
    physics-

    Blocks A and B of equal masses are arranged as shown in figure. The surface of A is smooth while B is rough and has a coefficient of friction 0.1 with surface. The block A moves with speed 10 m/s and collides with B. The collision is perfectly elastic. Find the distance moved by B before it comes to rest.

    Blocks A and B of equal masses are arranged as shown in figure. The surface of A is smooth while B is rough and has a coefficient of friction 0.1 with surface. The block A moves with speed 10 m/s and collides with B. The collision is perfectly elastic. Find the distance moved by B before it comes to rest.

    physics-General
    parallel
    General
    physics-

    A ball moving with velocity u collides with two identical balls placed in the track of first ball, after the elastic collision,

    A ball moving with velocity u collides with two identical balls placed in the track of first ball, after the elastic collision,

    physics-General
    General
    physics-

    Ball 1 collides with another identical ball 2 at rest as shown in figure. For what value of coefficient of restitution e, the velocity of second ball becomes two times that of 1 after collision

    Ball 1 collides with another identical ball 2 at rest as shown in figure. For what value of coefficient of restitution e, the velocity of second ball becomes two times that of 1 after collision

    physics-General
    General
    physics-

    A bullet of mass 20 g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a surface. The bullet emerges with a speed of 100 m/s and the block slides 20 cm on the surface before coming to rest, the coefficient of friction between the block and the surface. g=10m/s2

    A bullet of mass 20 g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a surface. The bullet emerges with a speed of 100 m/s and the block slides 20 cm on the surface before coming to rest, the coefficient of friction between the block and the surface. g=10m/s2

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.