JEE Main Simple Harmonic Motion Practice Questions With Solutions

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JEE Main Simple Harmonic Motion Practice Questions with Solutions

The JEE Main Harmonic Motion Practice Test is a helpful resource for all the JEE Main aspirants to know about the important concepts of physics, such as simple harmonic motion, and improve their knowledge of this topic. The JEE Main Simple Harmonic Motion Practice Questions with Solutions has a lot of questions from this chapter and its solutions. These practice tests are a valuable source for students to practice and strengthen their Physics section for the JEE Main entrance test. Around 1 to 2 questions may appear from simple harmonic motion on the JEE Main question paper. Usually, the questions from this chapter will appear in the form of multiple choice questions, numerical value questions, and assertion-reason type questions. It is very important for students to understand the basic concepts, formulas, and graphs well, in order to solve questions from this chapter easily. It is essential for candidates to attempt the JEE Main Simple Harmonic Motion Practice Test often to develop in depth knowledge of this topic, as JEE Main is a very competitive exam. Around 15 to 20 questions are available from the simple harmonic motion chapter in the JEE Main simple harmonic motion practice tests, including all the essential topics.

The important topics of the simple harmonic motion chapter, from which questions are framed in the JEE Main exam, are Basic Definition & Equation of SHM, Energy in SHM, Velocity & Acceleration in SHM, Pendulum & Spring-Mass System, Amplitude, Period, & Frequency, Compound & Damped Oscillations, and Graphs and Equations. The JEE Main Simple Harmonic Motion Practice Questions with Solutions, have questions from all these important topics. These questions also contain the detailed solutions, which will help the JEE Main candidates to understand the concepts of this chapter well by going through the explanations provided. Regularly practising the JEE Main simple harmonic motion practice tests will help students to improve their accuracy, focus on weaker areas, and manage their time well during the entrance examination. These practice tests will also allow them to boost their confidence over time, in solving critical questions from the simple harmonic motion chapter with ease in the JEE Main entrance exam.

JEE Main Physics Simple Harmonic Motion Practice Questions

Mathematics Chemistry

Question 1.

A simple pendulum doing small oscillations at a place $R$ height above earth surface has time period of $T_{1} = 4 s$ . $T_{2}$ would be it's time period if it is brought to a point which is at a height $2 R$ from earth surface. Choose the correct relation [ $R =$ radius of earth] :

3 T_{1} = 2 T_{2}

T_{1} = T_{2}

2 T_{1} = 3 T_{2}

2 T_{1} = T_{2}

Question 2.

In simple harmonic motion, the total mechanical energy of given system is $E$ . If mass of oscillating particle $P$ is doubled then the new energy of the system for same amplitude is:

JEE Main 2024 (Online) 4th April Evening Shift Physics - Simple Harmonic Motion Question 4 English

E / \sqrt{2}

2 E

E \sqrt{2}

E

Question 3.

A simple pendulum of length

1 m

has a wooden bob of mass

1 kg

. It is struck by a bullet of mass

10^{- 2} kg

moving with a speed of

2 \times 10^{2} {ms}^{- 1}

. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use

g = 10 m / s^{2}

)

0.20 m

0.40 m

0.30 m

0.35 m

Question 4.

The bob of a pendulum was released from a horizontal position. The length of the pendulum is $10 m$ . If it dissipates $10 %$ of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is:

[Use, $g : 10 {ms}^{- 2}$ ]

5 \sqrt{6} {ms}^{- 1}

5 \sqrt{5} {ms}^{- 1}

2 \sqrt{5} {ms}^{- 1}

6 \sqrt{5} {ms}^{- 1}

Question 5.

A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle $(θ)$ of thread deflection in the extreme position will be :

\tan^{- 1} (\frac{1}{2})

2 \tan^{- 1} (\frac{1}{2})

2 \tan^{- 1} (\frac{1}{\sqrt{5}})

\tan^{- 1} (\sqrt{2})

Question 6.

In a linear Simple Harmonic Motion (SHM)

(A) Restoring force is directly proportional to the displacement.

(B) The acceleration and displacement are opposite in direction.

(C) The velocity is maximum at mean position.

(D) The acceleration is minimum at extreme points.

Choose the correct answer from the options given below:

(A), (B) and (D) only

(A), (B) and (C) Only

(A), (C) and (D) only

Question 7.

A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to its potential energy is :

\frac{1}{\sqrt{2}} A

\frac{1}{2} A

2 A

\sqrt{2 A}

Question 8.

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?

JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 24 English Option 1

JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 24 English Option 2

JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 24 English Option 3

JEE Main 2023 (Online) 13th April Morning Shift Physics - Simple Harmonic Motion Question 24 English Option 4

Question 9.

A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

1 : 1

1 : 4

2 : 1

1 : 3

Question 10.

The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement $(x)$ starting from mean position to extreme position (A) is given by

JEE Main 2023 (Online) 11th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 1

JEE Main 2023 (Online) 11th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 2

JEE Main 2023 (Online) 11th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 3

JEE Main 2023 (Online) 11th April Morning Shift Physics - Simple Harmonic Motion Question 22 English Option 4