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TEST SERIES (PHYSICS FST)

266410 A length is measured as 2500 m by a meter scale. Which of the following statement is correct :

1 number of significant figure in given data is 2 only

2 number of significant figure in given data is 2 and it should be written as 2.5 km

3 number of significant figure in given data is 4 but it should be written as

2.500 \times 10^{3} m

4 number of significant figure in given data is 4 at all

Explanation:

c
All measured ditigits are significant but they should be written according to rules of significant figures.
$\Rightarrow 2500 m$ has 4 significant figure but it is written in wrong way
$\Rightarrow 2.500 \times 10^{3} m$ has 4 significant figure and it is written in right way.
3. ${XeF}_{4}$ - (i) Squire planer. (c) $90^{\circ}$

**NCERT-XI-I-3**

TEST SERIES (PHYSICS FST)

266411 In a plane progressive wave given by: $y = 25 \cos (2 π t - π x)$ the amplitude and frequency are respectively:

1 25,100

2 25,1

3 25,2

4

50 π, 2

.

Explanation:

b
$\begin{aligned} y = 25 \cos (2 π t - π x) \\ a = 25, ω = 2 π \\ a = 25, 2 π n = 2 π \\ a = 25, n = 1 \end{aligned}$
4. ${BeCl}_{2} -$ (ii) Linear,
(d) $180^{\circ}$

**NCERT-XI-II-281**

TEST SERIES (PHYSICS FST)

266412 A hole of radius $R / 2$ is cut from a thin circular plate of radius R and mass M . The moment of inertia of the plate about an axis through $O$ perpendicular to the X-Y plane (i.e., about the $Z$ -axis ) is:

1

\frac{5}{7} M R^{2}

2

\frac{7}{12} M R^{2}

3

\frac{13}{32} M R^{2}

4

\frac{13}{24} M^{2}

Explanation:

c
$\begin{aligned} I_{pte} = \frac{1}{2} M R^{2} - (\frac{1}{2} \frac{M}{4} {(\frac{R}{2})}^{2} + \frac{M}{4} {(\frac{M}{2})}^{2}) \\ = \frac{1}{2} M R^{2} - [\frac{M R^{2}}{16} (\frac{1}{2} + 1)] \\ = \frac{13 M R^{2}}{32} \end{aligned}$
5.6 lit gas ---- Mgm

**NCERT-XI-I-118**

TEST SERIES (PHYSICS FST)

266413 Arod is of length 3 m and its mass acting per unit length is directly proportional to distance $x$ -from its one end. The centre of gravity of the rod from that end will be at:

1 1.5 m

2 2.0 m

3 2.5 m

4 3.0 m

Explanation:

b
$\bar{x} = \frac{\int_{0}^{3} x d m}{\int_{0}^{3} d m} = 2 ∴ \frac{d m}{d x} = k x$

**NCERT-XI-I-95**

TEST SERIES (PHYSICS FST)

266410 A length is measured as 2500 m by a meter scale. Which of the following statement is correct :

1 number of significant figure in given data is 2 only

2 number of significant figure in given data is 2 and it should be written as 2.5 km

3 number of significant figure in given data is 4 but it should be written as

2.500 \times 10^{3} m

4 number of significant figure in given data is 4 at all

Explanation:

c
All measured ditigits are significant but they should be written according to rules of significant figures.
$\Rightarrow 2500 m$ has 4 significant figure but it is written in wrong way
$\Rightarrow 2.500 \times 10^{3} m$ has 4 significant figure and it is written in right way.
3. ${XeF}_{4}$ - (i) Squire planer. (c) $90^{\circ}$

**NCERT-XI-I-3**

TEST SERIES (PHYSICS FST)

266411 In a plane progressive wave given by: $y = 25 \cos (2 π t - π x)$ the amplitude and frequency are respectively:

1 25,100

2 25,1

3 25,2

4

50 π, 2

.

Explanation:

b
$\begin{aligned} y = 25 \cos (2 π t - π x) \\ a = 25, ω = 2 π \\ a = 25, 2 π n = 2 π \\ a = 25, n = 1 \end{aligned}$
4. ${BeCl}_{2} -$ (ii) Linear,
(d) $180^{\circ}$

**NCERT-XI-II-281**

TEST SERIES (PHYSICS FST)

266412 A hole of radius $R / 2$ is cut from a thin circular plate of radius R and mass M . The moment of inertia of the plate about an axis through $O$ perpendicular to the X-Y plane (i.e., about the $Z$ -axis ) is:

1

\frac{5}{7} M R^{2}

2

\frac{7}{12} M R^{2}

3

\frac{13}{32} M R^{2}

4

\frac{13}{24} M^{2}

Explanation:

c
$\begin{aligned} I_{pte} = \frac{1}{2} M R^{2} - (\frac{1}{2} \frac{M}{4} {(\frac{R}{2})}^{2} + \frac{M}{4} {(\frac{M}{2})}^{2}) \\ = \frac{1}{2} M R^{2} - [\frac{M R^{2}}{16} (\frac{1}{2} + 1)] \\ = \frac{13 M R^{2}}{32} \end{aligned}$
5.6 lit gas ---- Mgm

**NCERT-XI-I-118**

TEST SERIES (PHYSICS FST)

266413 Arod is of length 3 m and its mass acting per unit length is directly proportional to distance $x$ -from its one end. The centre of gravity of the rod from that end will be at:

1 1.5 m

2 2.0 m

3 2.5 m

4 3.0 m

Explanation:

b
$\bar{x} = \frac{\int_{0}^{3} x d m}{\int_{0}^{3} d m} = 2 ∴ \frac{d m}{d x} = k x$

**NCERT-XI-I-95**

TEST SERIES (PHYSICS FST)

266410 A length is measured as 2500 m by a meter scale. Which of the following statement is correct :

1 number of significant figure in given data is 2 only

2 number of significant figure in given data is 2 and it should be written as 2.5 km

3 number of significant figure in given data is 4 but it should be written as

2.500 \times 10^{3} m

4 number of significant figure in given data is 4 at all

Explanation:

c
All measured ditigits are significant but they should be written according to rules of significant figures.
$\Rightarrow 2500 m$ has 4 significant figure but it is written in wrong way
$\Rightarrow 2.500 \times 10^{3} m$ has 4 significant figure and it is written in right way.
3. ${XeF}_{4}$ - (i) Squire planer. (c) $90^{\circ}$

**NCERT-XI-I-3**

TEST SERIES (PHYSICS FST)

266411 In a plane progressive wave given by: $y = 25 \cos (2 π t - π x)$ the amplitude and frequency are respectively:

1 25,100

2 25,1

3 25,2

4

50 π, 2

.

Explanation:

b
$\begin{aligned} y = 25 \cos (2 π t - π x) \\ a = 25, ω = 2 π \\ a = 25, 2 π n = 2 π \\ a = 25, n = 1 \end{aligned}$
4. ${BeCl}_{2} -$ (ii) Linear,
(d) $180^{\circ}$

**NCERT-XI-II-281**

TEST SERIES (PHYSICS FST)

266412 A hole of radius $R / 2$ is cut from a thin circular plate of radius R and mass M . The moment of inertia of the plate about an axis through $O$ perpendicular to the X-Y plane (i.e., about the $Z$ -axis ) is:

1

\frac{5}{7} M R^{2}

2

\frac{7}{12} M R^{2}

3

\frac{13}{32} M R^{2}

4

\frac{13}{24} M^{2}

Explanation:

c
$\begin{aligned} I_{pte} = \frac{1}{2} M R^{2} - (\frac{1}{2} \frac{M}{4} {(\frac{R}{2})}^{2} + \frac{M}{4} {(\frac{M}{2})}^{2}) \\ = \frac{1}{2} M R^{2} - [\frac{M R^{2}}{16} (\frac{1}{2} + 1)] \\ = \frac{13 M R^{2}}{32} \end{aligned}$
5.6 lit gas ---- Mgm

**NCERT-XI-I-118**

TEST SERIES (PHYSICS FST)

266413 Arod is of length 3 m and its mass acting per unit length is directly proportional to distance $x$ -from its one end. The centre of gravity of the rod from that end will be at:

1 1.5 m

2 2.0 m

3 2.5 m

4 3.0 m

Explanation:

b
$\bar{x} = \frac{\int_{0}^{3} x d m}{\int_{0}^{3} d m} = 2 ∴ \frac{d m}{d x} = k x$

**NCERT-XI-I-95**

TEST SERIES (PHYSICS FST)

266410 A length is measured as 2500 m by a meter scale. Which of the following statement is correct :

1 number of significant figure in given data is 2 only

2 number of significant figure in given data is 2 and it should be written as 2.5 km

3 number of significant figure in given data is 4 but it should be written as

2.500 \times 10^{3} m

4 number of significant figure in given data is 4 at all

Explanation:

c
All measured ditigits are significant but they should be written according to rules of significant figures.
$\Rightarrow 2500 m$ has 4 significant figure but it is written in wrong way
$\Rightarrow 2.500 \times 10^{3} m$ has 4 significant figure and it is written in right way.
3. ${XeF}_{4}$ - (i) Squire planer. (c) $90^{\circ}$

**NCERT-XI-I-3**

TEST SERIES (PHYSICS FST)

266411 In a plane progressive wave given by: $y = 25 \cos (2 π t - π x)$ the amplitude and frequency are respectively:

1 25,100

2 25,1

3 25,2

4

50 π, 2

.

Explanation:

b
$\begin{aligned} y = 25 \cos (2 π t - π x) \\ a = 25, ω = 2 π \\ a = 25, 2 π n = 2 π \\ a = 25, n = 1 \end{aligned}$
4. ${BeCl}_{2} -$ (ii) Linear,
(d) $180^{\circ}$

**NCERT-XI-II-281**

TEST SERIES (PHYSICS FST)

266412 A hole of radius $R / 2$ is cut from a thin circular plate of radius R and mass M . The moment of inertia of the plate about an axis through $O$ perpendicular to the X-Y plane (i.e., about the $Z$ -axis ) is:

1

\frac{5}{7} M R^{2}

2

\frac{7}{12} M R^{2}

3

\frac{13}{32} M R^{2}

4

\frac{13}{24} M^{2}

Explanation:

c
$\begin{aligned} I_{pte} = \frac{1}{2} M R^{2} - (\frac{1}{2} \frac{M}{4} {(\frac{R}{2})}^{2} + \frac{M}{4} {(\frac{M}{2})}^{2}) \\ = \frac{1}{2} M R^{2} - [\frac{M R^{2}}{16} (\frac{1}{2} + 1)] \\ = \frac{13 M R^{2}}{32} \end{aligned}$
5.6 lit gas ---- Mgm

**NCERT-XI-I-118**

TEST SERIES (PHYSICS FST)

266413 Arod is of length 3 m and its mass acting per unit length is directly proportional to distance $x$ -from its one end. The centre of gravity of the rod from that end will be at:

1 1.5 m

2 2.0 m

3 2.5 m

4 3.0 m

Explanation:

b
$\bar{x} = \frac{\int_{0}^{3} x d m}{\int_{0}^{3} d m} = 2 ∴ \frac{d m}{d x} = k x$

**NCERT-XI-I-95**