Question 1:

The base SI quantities are:

1. Length (meter)

2. Mass (kilogram)

3. Time (second)

4. Electric current (ampere)

5. Temperature (kelvin)

6. Amount of substance (mole)

7. Luminous intensity (candela)

From the options:

• A. current → base quantity (ampere)

• B. power → derived (W = J/s)

• C. energy → derived (J = kg·m²/s²)

• D. acceleration → derived (m/s²)

Answer: A. current ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 2:

The derived units are formed from combinations of base SI units.

From the options:

• A. amp (ampere) → base unit (electric current)

• B. kilogram → base unit (mass)

• C. joule → derived unit (kg·m²/s², for energy)

• D. second → base unit (time)

Answer: C. joule ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 3:

The prefix nano means 10⁻⁹.

From the options:

• A. 10⁻³ → milli (m)

• B. 10⁻⁶→ micro (µ)

• C. 10⁻⁹ → nano (n)

• D. 10⁻¹² → pico (p)

Answer: C. 10⁻⁹ ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 4:

We start with 0.0004 J.

Step 1: Convert to millijoules (mJ)
1 mJ=10⁻³ J
So:

Step 2: Convert to microjoules (µJ)
1 μJ=10⁻⁶ J
So:

Checking the table:

• B says 0.4 mJ and 400 μJ ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 5:

We know:
1 GW=10⁹ W

So:

That matches D. ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 6:

We know:
Electric charge Q=I×t
Units: Q=[A⋅s]

That matches A.

Answer: A ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 7:

We need to consider significant figures in the calculation.

The distance 2.5 mhas 2 significant figures.
The time 3.45 s has 3 significant figures.
The result should be limited by the least number of significant figures in the input data, which is 2 (from 2.5 m).

Rounded to 2 significant figures: 0.72 m/s.

That matches C.

Answer: C ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 8:

We know:
Force F=ma
Units: [kg⋅m⋅s⁻²]
This is the definition of the newton (N).

So:

That matches C.

Answer: C ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 9:

We start with:

So:

Units:

• Fd​  → newton (N)

• r → meter (m)

• v → m/s

Thus:

η=[N] / ([m]⋅[m/s])

η=[N] / [m²/s]

η=[N]⋅[s/m²]

That matches B. N s m⁻².

Answer: B ✅

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 10:

To determine which equation relating the speed of waves vv v in shallow water depends on the depth dd d and the gravitational field strength gg g is dimensionally consistent, we can analyze the dimensions of each equation.

Dimensions

• Speed v has dimensions of [L][T]⁻¹(length/time)
• Depth d has dimensions of [L](length)
• Gravitational field strength g has dimensions of [L][T]⁻²(length/time²)

Analyzing Each Equation

A. v = d √g ​
Dimensions:

d √g ​= [L] √([L][T]⁻²)

d √g ​= [L] [L]^½[T]⁻¹

d √g ​= [L]^3/2[T]⁻¹

Not consistent.

B. v = g √d ​
Dimensions:

g √d ​= [L][T]⁻² √[L]

g √d ​= [L][T]⁻² [L]^½

g √d ​= [L]^3/2[T]⁻²

Not consistent.

C. v = √(g d) ​
Dimensions:

√(gd) ​= √( [L][T]⁻²[L] )

√(gd) ​= √([L]²[T]⁻²)

√(gd) ​= [L][T]⁻¹

Consistent!

D. g d ​= [L][T]⁻²[L]

g d ​= [L]²[T]⁻²

Not consistent.

Conclusion

The only dimensionally consistent equation is:

C. √(gd) ​= [L][T]⁻¹

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.