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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).

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).

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
(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.
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