Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202313 May 2023Evening ShiftPhysicsLaws of MotionActual

A simple spring has length ' l ' and force constant ' K ', It is cut in to two springs of length ' l₁ ' and ' l₂ ' such that l₁= n l₂ ( n is an integer). The force constant of spring of length ' l₁ ' is

Options

  1. AK (1+ n )
  2. BK ( n +1) n
  3. CK
  4. DK ( n +1)

Correct answer

B. K ( n +1) n

Step-by-step solution

Given l₁= n l₂ k ₂= nk ₁ Before cutting, the springs are connected in series, so 1 k = 1 k ₁ + 1 k ₂ 1 ~K = 1 k ₁ + 1 nk ₁ 1 ~K = n +1 nk ₁ k₁- K(n+1) n

Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

A block of metal, of 25g mass moves down without acceleration when the plane is inclined at an angle of 30^ . When the inclination is increased by 30^ , find the downward accelerat 2026A man weighs 80 kg. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 6 m/s ^2 . What would be his weight in kg? ( g = 10 m/s ^2 ) 2026A mass M is hung with a light inextensible string as shown in figure. Find the tension of the horizontal string. 2026A horizontal force of 5 N is applied on a stationary body of mass 5 kg, which is initially at rest on a frictionless table. The change in kinetic energy of the body in 10 s is 2026The apparent weight of a girl of mass 30 kg when she is in a lift moving vertically upwards with an acceleration of 2 ~ms ⁻² is (Acceleration due to gravity =10 ~m ~s ⁻² ) 2025If a stone of mass 0.5 kg tied to one end of a wire is whirled in a circular path of radius 2 m with a speed 40 rev / min in a horizontal plane, then the tension in the wire is nea 2025If the breaking strength of a rope is 4 3 times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g - accelereation due t 2025A block of mass 2 kg is placed on a rough horizontal surface. If a horizontal force of 20 N acting on the block produces an acceleration of 7 ~m ~s ⁻² in it, then the coefficient o 2025 Full Laws of Motion list All MHT CET PYQs