Physics

# The dimensional formula $[ML^1T^{-3}]$ is more closely associated with

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Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 Single Correct Medium
The velocity $v$ of a particle at time $t$ is given by $\displaystyle v= at+\frac{b}{t+c}$, where $a, b$ and $c$ are constants. The dimensions of $a, b$ and $c$ are respectively
• A. $\displaystyle \left [ LT^{-2} \right ], \left [ L \right ]\:and\:\left [ T \right ]$
• B. $\displaystyle \left [ L^{2} \right ], \left [ T \right ]\:and\:\left [ LT^{2} \right ]$
• C. $\displaystyle \left [ LT^{2} \right ], \left [ LT \right ]\:and\:\left [ L \right ]$
• D. $\displaystyle \left [ L \right ], \left [ LT \right ]\:and\:\left [ T^{2} \right ]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Multiple Correct Hard
A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $\delta T=0.01$ seconds and he measures the depth of the well to be $L=20$ meters. Take the acceleration due to gravity $g=10 ms^{-2}$ and the velocity of sound $300 ms^{-1}$. Then the fractional error in he measurement $\dfrac{\delta L}{L}$, is closest to
• A. $0.2 \%$
• B. $3 \%$
• C. $5 \%$
• D. $1 \%$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
Convert the given measurement into the bigger unit. Then, multiply by the second number and find the products.
$43\ g\ 732\ mg$ and $18$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
The correct dimensional formula for impulse is given by
• A. $ML^2T^{-2}$
• B. $MLT^{-1}$
• C. $ML^2T^{-1}$
• D. $MLT^{-2}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Multiple Correct Medium
Consider three quantities $x=E/B, y =\sqrt {1/\mu_0\varepsilon_0}$ and $Z=\dfrac {l}{CR}$. Here, $l$ is the length of a wire, $C$ is a capacitance and $R$ is a resistance. All other symbols have standard meanings.
• A. $x, y$ have the same dimensions
• B. $y, z$ have the same dimensions
• C. $z, x$ have the same dimensions
• D. the field at one point is opposite to that at the other point.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020