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# The dimensional formula of pressure is: 1. $$\left[MLT^{-2}\right]$$ 2. $$\left[ML^{-1}T^{2}\right]$$ 3. $$\left[ML^{-1}T^{-2}\right]$$ 4. $$\left[MLT^{2}\right]$$

Subtopic: Â Dimensions |
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A physical parameter '$$a$$' can be determined by measuring the parameters $$b$$ and  using the relation, $$a= \dfrac{b^{\alpha}c^{\beta}}{d^{\gamma}e^{\delta}}.$$ If the maximum errors in the measurement of $$b, ~c, ~d,~\text{and}~e$$ are $$b_1\%,~c_1\%,~d_1\%~\text{and}~e_1\%$$
1. $$(b_1+c_1+d_1+e_1)\%$$
2. $$(b_1+c_1-d_1-e_1)\%$$
3. $$(\alpha b_1+\beta c_1-\gamma d_1-\delta e_1)\%$$
4. $$(\alpha b_1+\beta c_1+\gamma d_1+\delta e_1)\%$$

Subtopic: Â Errors |
Â 81%
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A light-year is a unit of:

 1 Time 2 Mass 3 Distance 4 Energy
Subtopic: Â Measurement & Measuring Devices |
Â 74%
From NCERT
PMT - 1989
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In $$S= a+bt+ct^2,~S$$ is measured in metres and $$t$$ in seconds. The unit of $$c$$ will be:

 1 none 2 $$\text{m}$$ 3 $$\text{ms}^{-1}$$ 4 $$\text{ms}^{-2}$$
Subtopic: Â Dimensions |
Â 75%
From NCERT
PMT - 1993
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If $$u_1$$ and $$u_2$$ are the units selected in two systems of measurement and $$n_1$$ and $$n_2$$ are their numerical values, then:

 1 $$n_1u_1=n_2u_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$$ 2 $$n_1u_1+n_2u_2=0$$ 3 $$n_1n_2=u_1u_2$$ 4 $$(n_1+u_1)=(n_2+u_2)$$
Subtopic: Â Dimensions |
Â 85%
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The dimensional formula for impulse is:

 1 $$[MLT^{-2}]$$ 2 $$[MLT^{-1}]$$ 3 $$[ML^2T^{-1}]$$ 4 $$[M^2LT^{-1}]$$
Subtopic: Â Dimensions |
Â 79%
From NCERT
PMT - 1991
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In the relation, $$y=a \cos (\omega t-k x)$$, the dimensional formula for $$k$$ will be:
1. $${\left[M^0 L^{-1} T^{-1}\right]}$$
2. $${\left[M^0 L T^{-1}\right]}$$
3. $${\left[M^0 L^{-1} T^0\right]}$$
4. $${\left[M^0 L T\right]}$$

Subtopic: Â Dimensions |
Â 79%
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The percentage errors in the measurement of mass and speed are $$2\%$$ and $$3\%$$ respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed:

 1 $$11\%$$ 2 $$8\%$$ 3 $$5\%$$ 4 $$1\%$$
Subtopic: Â Errors |
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The decimal equivalent of $$\frac{1}{20}$$ up to three significant figures is:

 1 $$0.0500$$ 2 $$0.05000$$ 3 $$0.0050$$ 4 $$5.0 \times 10^{-2}$$
Subtopic: Â Significant Figures |
Â 69%
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The periods of oscillation of a simple pendulum in an experiment are recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s respectively. The average absolute error will be:

1. 0.1 s

2. 0.11 s

3. 0.01 s

4. 1.0 s

Subtopic: Â Errors |
Â 61%
From NCERT
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