1. What is the dimensional formula of time?
A.
[M]
B.
[L]
C.
[T]
D.
[L T^-1]
Correct Answer:
[T]
Explanation:
Time is a fundamental physical quantity, so its dimensional formula is [T].
2. Which of the following is the SI unit of time?
A.
metre
B.
second
C.
kilogram
D.
ampere
Correct Answer:
second
Explanation:
The SI base unit used to measure time is the second.
3. What is the dimensional formula of one minute?
A.
[M]
B.
[L]
C.
[T]
D.
[T^-1]
Correct Answer:
[T]
Explanation:
Although a minute is a larger unit than a second, it measures time and therefore has the dimension [T].
4. What is the dimensional formula of one hour?
A.
[T]
B.
[L T^-1]
C.
[T^-1]
D.
[M T^-1]
Correct Answer:
[T]
Explanation:
An hour is a unit of time, so its dimensional formula is [T].
5. Which physical quantity has the same dimensions as time?
A.
Time interval
B.
Speed
C.
Frequency
D.
Acceleration
Correct Answer:
Time interval
Explanation:
A time interval represents a difference in time, so it has the dimensions [T].
6. The dimensional formula of the time period of a pendulum is:
A.
[T]
B.
[T^-1]
C.
[L]
D.
[L T^-1]
Correct Answer:
[T]
Explanation:
The time period is the time taken for one complete oscillation, so its dimensional formula is [T].
7. If a quantity has the dimensional formula [T^-1], it is related to:
A.
Length
B.
Time
C.
Frequency
D.
Mass
Correct Answer:
Frequency
Explanation:
Frequency is the reciprocal of time period, so its dimensions are [T^-1].
8. What is the dimensional formula of 60 seconds?
A.
[T]
B.
[T^-1]
C.
[L]
D.
[M]
Correct Answer:
[T]
Explanation:
60 seconds is one minute, which is a measure of time and has the dimensions [T].
9. Which of the following quantities is dimensionless with respect to time?
A.
Time period
B.
Frequency
C.
Ratio of two time intervals
D.
Time interval
Correct Answer:
Ratio of two time intervals
Explanation:
The ratio of two quantities having dimensions [T] has no dimensions because the time dimensions cancel.
10. If t represents time, what is the dimensional formula of 2t?
A.
[T]
B.
[2T]
C.
[T^2]
D.
[T^-1]
Correct Answer:
[T]
Explanation:
A numerical constant such as 2 does not affect dimensions, so 2t has the same dimensions as t, namely [T].
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