Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

A steel wire with a length of 64 cm weighs 5 g . If it is stretched by an 8 N force, determine the speed of a transverse wave travelling on it.

Options

A32 m/s
B40 m/s
C64 m/s
D16 m/s

Correct answer

A. 32 m/s

Step-by-step solution

Given, length of the wire L = 64 cm = 0.64 m Mass of the wire m = 5 g = 5 10⁻³ kg Tension in the wire T = 8 N The linear mass density of the wire is given by: = m L = 5 10⁻³ 0.64 = 5 640 = 1 128 kg/m The speed of a transverse wave on a stretched string is: v = T Substituting the values: v = 8 1/128 = 8 128 = 1024 = 32 m/s

Practice Wave Motion and Waves on a String on Quantrex Academy →

More from Wave Motion and Waves on a String

A wave pulse travelling on a string at a speed of 40 cm s ⁻¹ in the negative x -direction has its maximum located at x = 0 when t = 0 . Where will this maximum be found at t = 5 s A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Identify the direction in which the wave is travelling.A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Locate the maximum of the pulse at t = T and at t = 2T respectivel A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Determine the dimensions of A , a , and T .A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Compute the wave speed.A stretched string carries a wave in the positive x -direction with a wave speed of v . The displacement of the particle at x = 0 is described by f(t) = A (t/T) . Determine the wav A pulse travelling on a string is described by the function y = a^3 (x - vt)^2 + a^2 , where a = 5 mm and v = 20 cm s ⁻¹ . Taking x = 0 at the middle of the string, determine the p The figure displays a wave pulse at t = 0 . The pulse travels to the right with a speed of 10 cm s ⁻¹ . Determine the respective rightward shifts of the shape of the string at t = Full Wave Motion and Waves on a String list All Concepts Of Physics MCQ Edition [Volume 1] PYQs