NEET 2016 Phase 2 | Oscillations Question 21 | Physics

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is

$${3 \over 4}$$

$${4 \over 3}$$

$${{16} \over 9}$$

$${9 \over {16}}$$

AIPMT 2015

MCQ (Single Correct Answer)

-1

A particle is executing a simple harmonic motion. Its maximum acceleration is $$\alpha $$ and maximum velocity is $$\beta $$. Them, its time period of vibration will be

$${{{\beta ^2}} \over \alpha }$$

$${{2\pi \beta } \over \alpha }$$

$${{{\beta ^2}} \over {{\alpha ^2}}}$$

$${\alpha \over \beta }$$

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

A particle is executing SHM along a straight line. Its velocities at distances x₁ and x₂ from the mean position are V₁ and V₂ respectively. Its time period is

$$2\pi \sqrt {{{V_1^2 + V_2^2} \over {x_1^2 + x_2^2}}} $$

$$2\pi \sqrt {{{V_1^2 - V_2^2} \over {x_1^2 - x_2^2}}} $$

$$2\pi \sqrt {{{x_1^2 + x_2^2} \over {V_1^2 + V_2^2}}} $$

$$2\pi \sqrt {{{x_2^2 - x_1^2} \over {V_1^2 - V_2^2}}} $$

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

When two displacements represented by y₁ = a sin$${\left( {\omega t} \right)}$$ and y₂ = b cos$${\left( {\omega t} \right)}$$ aresuperimposed the motion is

simple harmonic with amplitude $$\sqrt {{a^2} + {b^2}} $$

simple harmonic with amplitude $${{\left( {a + b} \right)} \over 2}$$

not a simple harmonic

simple harmonic with amplitude $${a \over b}$$

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