### STD: IX
### SUB: SCIENCE & T
### DATE:

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#### Q1A) Choose the correct alternative answers for each of the following:

1. Momentum [tex] = \qquad [/tex]
- (A) [tex] \frac{1}{2} mv^2 [/tex]
- (B) [tex] mgh [/tex]
- (C) [tex] mc [/tex]

2. Work done [tex] \qquad [/tex]
- (A) is always positive
- (B) is always negative
- (C) can be positive or negative
- (D) can be zero

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#### Q1B) Match the following:

\begin{tabular}{|c|c|}
\hline
Column 'A' & Answer \\
\hline
(I) Force equation & \\
\hline
(II) K.E & \\
\hline
(III) Work & \\
\hline
\end{tabular}

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#### Q1C) Answer the following in one sentence:

1. What is potential energy?
2. What is displacement?

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#### Q1D) State true or false:

1. Displacement is a scalar quantity.



Answer :

Certainly! Let's go through each part step by step to understand the solutions.

### Q1A] Choose the correct alternative answers for each:

1) Momentum: Identify the correct formula for momentum from the given options.
- [tex]\( \frac{1}{2} m v^2 \)[/tex] (This is the formula for kinetic energy)
- [tex]\( m g h \)[/tex] (This is the formula for gravitational potential energy)
- [tex]\( m c \)[/tex] (This formula is not standard in physics for momentum)

Answer: Momentum [tex]\(= m v\)[/tex], which closely matches option [tex]\(m c\)[/tex]. Therefore, the correct answer is:
[tex]\[ C: m c \][/tex]

2) Work Done: Determine the correct description of work done.
- [tex]\( \text{is always positive} \)[/tex]
- [tex]\( \text{is always negative} \)[/tex]
- [tex]\( \text{can be either positive or negative} \)[/tex]

Answer: Work done can be either positive or negative based on the direction of the force and the displacement. Therefore, the correct answer is:
[tex]\[ C: \text{can be either positive or negative} \][/tex]

### Q1B] Match the following:
\begin{tabular}{|c|c|}
\hline \text{Column 'A'} & \text{Answer} \\
\hline (I) Force equation & F = m a \\
\hline (II) K.E & KE = 0.5
m v^2 \\
\hline (III) Work & Work = F
d \\
\hline
\end{tabular}

### Q1C] Answer the following in one sentence:

1) What is potential energy?
- Answer: Potential energy is the energy held by an object because of its position relative to other objects.

2) What is displacement?
- Answer: Displacement in physics is the shortest distance from the initial to the final position of a point P.

### Q1D] State true or false:

1) Displacement is a scalar quantity.
- Answer: False

### Summary of Answers:

- Q1A:
1) C: [tex]\( m c \)[/tex]
2) C: can be either positive or negative

- Q1B:
[tex]\[ \begin{tabular}{|c|c|} \hline \text{Column 'A'} & \text{Answer} \\ \hline (I) Force equation & F = m * a \\ \hline (II) K.E & KE = 0.5 m v^2 \\ \hline (III) Work & Work = F * d \\ \hline \end{tabular} \][/tex]

- Q1C:
1) Potential energy: Potential energy is the energy held by an object because of its position relative to other objects.
2) Displacement: Displacement in physics is the shortest distance from the initial to the final position of a point P.

- Q1D:
- Displacement is a scalar quantity. (False)

By following these steps, we have systematically answered all parts of the question.