The potential energy of a long spring when stretched by $$2$$ cm is $$U$$. If the spring is stretched by $$8$$ cm, potential energy stored in it will be:
 1 $$16U$$ 2 $$2U$$ 3 $$4U$$ 4 $$8U$$
Subtopic:  Elastic Potential Energy |
71%
From NCERT
NEET - 2023
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A block of mass $$m$$ is moving with initial velocity $$u$$ towards a stationary spring of stiffness constant $$k$$ attached to the wall as shown in the figure. Maximum compression of the spring is:
(The friction between the block and the surface is negligible).

 1 $$u\sqrt{\frac{m}{k}}$$ 2 $$4u\sqrt{\frac{m}{k}}$$ 3 $$2u\sqrt{\frac{m}{k}}$$ 4 $$\frac12u\sqrt{\frac{k}{m}}$$
Subtopic:  Elastic Potential Energy |
79%
From NCERT
NEET - 2022
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Two similar springs $$P$$ and $$Q$$ have spring constants $$k_P$$ and $$k_Q$$, such that $$k_P>k_Q$$. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs $$W_P$$ and $$W_Q$$ are related as, in case (a) and case (b), respectively:

 1 $$W_P=W_Q;~W_P>W_Q$$ 2 $$W_P=W_Q;~W_P=W_Q$$ 3 $$W_P>W_Q;~W_P Subtopic: Elastic Potential Energy | 73% From NCERT NEET - 2015 To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints Links To view explanation, please take trial in the course. NEET 2025 - Target Batch A block of mass \(M$$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has a force constant value of $$k$$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:
1. $$Mg/k$$
2. $$2Mg/k$$
3. $$4Mg/k$$
4. $$Mg/2k$$
Subtopic:  Elastic Potential Energy |
69%
From NCERT
AIPMT - 2009
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A vertical spring with a force constant $$k$$ is fixed on a table. A ball of mass $$m$$ at a height $$h$$ above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance $$d$$. The net work done in the process is:
1. $$mg(h+d)+\frac{1}{2}kd^2$$
2. $$mg(h+d)-\frac{1}{2}kd^2$$
3. $$mg(h-d)-\frac{1}{2}kd^2$$
4. $$mg(h-d)+\frac{1}{2}kd^2$$

Subtopic:  Elastic Potential Energy |
64%
From NCERT
AIPMT - 2007
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The potential energy of a long spring when stretched by $$2$$ cm is $$U$$. If the spring is stretched by $$8$$ cm, the potential energy stored in it is:
1. $$4U$$
2. $$8U$$
3. $$16U$$
4. $$U/4$$

Subtopic:  Elastic Potential Energy |
78%
From NCERT
AIPMT - 2006
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A mass of $$0.5$$ kg moving with a speed of $$1.5$$ m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant $$k=50$$ N/m. The maximum compression of the spring would be:

1. $$0.12$$ m
2. $$1.5$$ m
3. $$0.5$$ m
4. $$0.15$$ m

Subtopic:  Elastic Potential Energy |
80%
From NCERT
AIPMT - 2004
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When a long spring is stretched by $$2$$ cm, its potential energy is $$U$$. If the spring is stretched by $$10$$ cm, the potential energy stored in it will be:
1. $$U/5$$
2. $$5U$$
3. $$10U$$
4. $$25U$$

Subtopic:  Elastic Potential Energy |
87%
From NCERT
AIPMT - 2003
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Two springs A and B having spring constant ${K}_{A}$ $and$ ${K}_{B}$  $\left({K}_{A}$ $=$ $2{K}_{B}\right)$ are stretched by applying a force of equal magnitude. If the energy stored in spring A is E, then the energy stored in B will be:

1.  2E

2.  $\frac{E}{4}$

3. $\frac{E}{2}$

4.  4E

Subtopic:  Elastic Potential Energy |
68%
From NCERT
AIPMT - 2001
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If two springs, A and B $\left({K}_{A}$ $=$ $2$ ${K}_{B}\right),$ are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1.  1 : 2
2.  2 : 1
3.  1 : 1
4.  1 : 4

Subtopic:  Elastic Potential Energy |
62%
From NCERT
AIPMT - 1999
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