Q. What is the correct conjunction to complete the sentence: 'I wanted to go swimming, ___ it was too cold.'
A.
and
B.
but
C.
or
D.
so
Show solution
Solution
'But' is used to contrast the desire to swim with the cold weather.
Correct Answer:
B
— but
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Q. What is the correct conjunction to complete the sentence: I wanted to go for a walk, ___ it started to rain.
A.
and
B.
but
C.
or
D.
so
Show solution
Solution
'But' is the correct conjunction to show contrast.
Correct Answer:
B
— but
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Q. What is the correct direct speech for: 'She said that she was tired.'?
A.
She said, I am tired.
B.
She said, I was tired.
C.
She said, I will be tired.
D.
She said, I tired.
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Solution
The correct direct speech form is 'I am tired' as it reflects her current state.
Correct Answer:
A
— She said, I am tired.
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Q. What is the correct form of the verb in the sentence: 'She _____ to the store yesterday.'?
A.
Go
B.
Goes
C.
Went
D.
Gone
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Solution
'Went' is the correct past tense form of the verb 'go' for the sentence.
Correct Answer:
C
— Went
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Q. What is the correct idiom to describe someone who is very happy?
A.
Under the weather
B.
On cloud nine
C.
Barking up the wrong tree
D.
Burning the midnight oil
Show solution
Solution
'On cloud nine' is an idiom that means to be extremely happy.
Correct Answer:
B
— On cloud nine
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Q. What is the correct indirect speech for: 'He said, I am happy.'?
A.
He said that he was happy.
B.
He said that he is happy.
C.
He said that he has been happy.
D.
He said that he will be happy.
Show solution
Solution
In indirect speech, the present tense 'am' changes to the past tense 'was'.
Correct Answer:
A
— He said that he was happy.
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Q. What is the correct indirect speech for: 'He said, I am tired.'?
A.
He said that he was tired.
B.
He said that he is tired.
C.
He said that he tired.
D.
He said that he has tired.
Show solution
Solution
In indirect speech, the present tense 'am' changes to the past tense 'was'.
Correct Answer:
A
— He said that he was tired.
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Q. What is the correct indirect speech for: 'He said, I have finished my work.'?
A.
He said that he had finished his work.
B.
He said that he has finished his work.
C.
He said that he finished his work.
D.
He said that he was finishing his work.
Show solution
Solution
Present perfect 'have finished' changes to past perfect 'had finished'.
Correct Answer:
A
— He said that he had finished his work.
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Q. What is the correct indirect speech for: 'She said, I have completed my homework.'?
A.
She said that she had completed her homework.
B.
She said that she has completed her homework.
C.
She said that she completed her homework.
D.
She said that she is completing her homework.
Show solution
Solution
In indirect speech, the present perfect 'have completed' changes to the past perfect 'had completed'.
Correct Answer:
A
— She said that she had completed her homework.
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Q. What is the correct indirect speech for: 'The teacher said, You must complete your homework.'?
A.
The teacher said that we must complete our homework.
B.
The teacher said that we had to complete our homework.
C.
The teacher said that we should complete our homework.
D.
The teacher said that we completed our homework.
Show solution
Solution
In indirect speech, 'must' often changes to 'had to'.
Correct Answer:
B
— The teacher said that we had to complete our homework.
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Q. What is the correct indirect speech for: 'The teacher said, You must submit your work.'?
A.
The teacher said that we must submit our work.
B.
The teacher said that we had to submit our work.
C.
The teacher said that we should submit our work.
D.
The teacher said that we will submit our work.
Show solution
Solution
In indirect speech, 'must' often changes to 'had to'.
Correct Answer:
B
— The teacher said that we had to submit our work.
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Q. What is the correct number of significant figures in the result of 5.67 - 0.2?
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Solution
The result should be rounded to 3 significant figures, giving 5.5.
Correct Answer:
B
— 3
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Q. What is the correct number of significant figures in the result of 6.022 x 10^23?
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Solution
6.022 has 4 significant figures, so the result retains that count.
Correct Answer:
D
— 5
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Q. What is the correct plural form of 'cactus'?
A.
cactuses
B.
cacti
C.
cactii
D.
cactuses
Show solution
Solution
The correct plural form of 'cactus' is 'cacti'.
Correct Answer:
B
— cacti
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Q. What is the correct preposition to use in this sentence: 'He is responsible ___ the project.'?
A.
for
B.
to
C.
with
D.
about
Show solution
Solution
'For' is the correct preposition indicating responsibility.
Correct Answer:
A
— for
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Q. What is the correct way to express 0.000123 in scientific notation with significant figures?
A.
1.23 x 10^-4
B.
1.23 x 10^-3
C.
1.2 x 10^-4
D.
1.23 x 10^-5
Show solution
Solution
In scientific notation, 0.000123 is expressed as 1.23 x 10^-4, maintaining 3 significant figures.
Correct Answer:
A
— 1.23 x 10^-4
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Q. What is the correct way to express 0.000123 in scientific notation?
A.
1.23 x 10^-4
B.
1.23 x 10^-3
C.
1.23 x 10^-2
D.
1.23 x 10^-5
Show solution
Solution
In scientific notation, 0.000123 is expressed as 1.23 x 10^-4.
Correct Answer:
A
— 1.23 x 10^-4
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Q. What is the correct way to express 0.0001234 in scientific notation with significant figures?
A.
1.234 x 10^-4
B.
1.23 x 10^-4
C.
1.2340 x 10^-4
D.
1.2 x 10^-4
Show solution
Solution
In scientific notation, all non-zero digits are significant. Therefore, 0.0001234 can be expressed as 1.234 x 10^-4, maintaining all significant figures.
Correct Answer:
A
— 1.234 x 10^-4
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Q. What is the correct way to express 0.000345 in scientific notation with significant figures?
A.
3.45 x 10^-4
B.
3.450 x 10^-4
C.
3.4500 x 10^-4
D.
3.4 x 10^-4
Show solution
Solution
In scientific notation, all digits in the coefficient are significant. Therefore, 0.000345 is expressed as 3.45 x 10^-4, which has 3 significant figures.
Correct Answer:
A
— 3.45 x 10^-4
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Q. What is the correct way to express 0.000450 in scientific notation with significant figures?
A.
4.5 x 10^-4
B.
4.50 x 10^-4
C.
0.45 x 10^-3
D.
4.500 x 10^-4
Show solution
Solution
In scientific notation, 0.000450 is expressed as 4.50 x 10^-4, maintaining three significant figures.
Correct Answer:
B
— 4.50 x 10^-4
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Q. What is the critical angle for a glass medium (n = 1.5) when light travels from glass to air? (2020)
A.
30 degrees
B.
41.8 degrees
C.
48.6 degrees
D.
60 degrees
Show solution
Solution
Using the formula for critical angle: sin(c) = n2/n1, we find c = sin^(-1)(1/1.5) ≈ 41.8 degrees.
Correct Answer:
B
— 41.8 degrees
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Q. What is the critical angle for a glass-air interface if the refractive index of glass is 1.5?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
Critical angle θc = sin^(-1)(1/n) = sin^(-1)(1/1.5) = 41.81 degrees, approximately 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. What is the critical angle for a medium with a refractive index of 1.5? (2019)
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
The critical angle θc can be calculated using sin(θc) = 1/n. Thus, θc = sin^(-1)(1/1.5) = sin^(-1)(0.6667) ≈ 41.81 degrees, which is closest to 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. What is the critical angle for light traveling from glass (n = 1.5) to air (n = 1)? (2019)
A.
30 degrees
B.
41.8 degrees
C.
48.6 degrees
D.
60 degrees
Show solution
Solution
Using the formula sin(c) = n2/n1, we find sin(c) = 1/1.5, thus c = sin^(-1)(2/3) ≈ 41.8 degrees.
Correct Answer:
B
— 41.8 degrees
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Q. What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?
A.
30 degrees
B.
41.8 degrees
C.
48.6 degrees
D.
60 degrees
Show solution
Solution
Critical angle (C) is given by sin(C) = n2/n1. Thus, sin(C) = 1/1.5, C = sin^(-1)(0.6667) ≈ 41.8 degrees.
Correct Answer:
B
— 41.8 degrees
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Q. What is the critical angle for total internal reflection from water (n = 1.33) to air (n = 1)?
A.
48.6 degrees
B.
53.1 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
The critical angle (θc) can be calculated using sin(θc) = n2/n1. Thus, sin(θc) = 1/1.33, giving θc ≈ 53.1 degrees.
Correct Answer:
B
— 53.1 degrees
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Q. What is the critical angle for total internal reflection from water to air (n_water = 1.33, n_air = 1)?
A.
48.6 degrees
B.
90 degrees
C.
30.0 degrees
D.
60.0 degrees
Show solution
Solution
The critical angle θ_c can be calculated using sin(θ_c) = n2/n1 = 1/1.33, which gives θ_c ≈ 48.6 degrees.
Correct Answer:
A
— 48.6 degrees
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Q. What is the critical angle for total internal reflection from water to air (n_water = 1.33, n_air = 1.00)?
A.
48.6 degrees
B.
90 degrees
C.
42.0 degrees
D.
60 degrees
Show solution
Solution
The critical angle θ_c can be calculated using sin(θ_c) = n2/n1 = 1.00/1.33, which gives θ_c ≈ 48.6 degrees.
Correct Answer:
A
— 48.6 degrees
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Q. What is the critical angle for total internal reflection if the refractive index of the medium is 1.5?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
The critical angle (θc) can be calculated using sin(θc) = 1/n. Here, n = 1.5, so θc = sin^(-1)(1/1.5) ≈ 41.81 degrees, which is approximately 42 degrees.
Correct Answer:
C
— 60 degrees
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Q. What is the critical angle for total internal reflection in a medium with a refractive index of 1.5?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
The critical angle (θc) can be calculated using sin(θc) = 1/n. For n = 1.5, sin(θc) = 1/1.5 = 2/3. Therefore, θc = sin^(-1)(2/3) which is approximately 41.81 degrees, closest to 45 degrees.
Correct Answer:
C
— 60 degrees
Learn More →
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