Wave Motion | A particle on a spring executes simple harmonic mo-askIITians

Amit Saxena Grade: upto college level

        A particle on a spring executes simple harmonic motion. If the mass of the particle and the amplitude are both doubled then
(a) the period of oscillation will change by a factor of
(A) 4.                                                                    (B) 
(C) 2.                                                                     (D) 
(b) the maximum speed of the particle will change by a factor of
(A) 4.                                                                     (B) 
(C) 2.                                                                 (D) 
(c) the magnitude of the maximum acceleration of the particle will change by a factor of\
(A) 4.                                                                     (B) 
(C) 2.                                                                    (D) 
(E) 1 (it remains unchanged).

2 years ago

Answers : (1)

Navjyot Kalra

askIITians Faculty

654 Points

							(a) The correct option is (E).
In simple harmonic motion,
1)The time period (T) of vibrations varies inversely as the square root of the force constant (k) of the spring.
2) The time period (T) of vibrations varies directly as the square root of the mass (m) of body attached to the string.