RBTS PAPER 3(PHYSICS)
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3 RBTS PAPER

162588 A body constrained to move along the z-axis of a coordinate system is subject to a constant force \(F\) given by
\(F=-\hat{i}+2 \hat{j}+3 \hat{k} N\)
where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) are unit vectors along the \(x-, y\) - and \(z\)-axis of the system respectively. What is the work done by this force in moving the body a distance of \(4 \mathrm{~m}\) along the z-axis?

1 \(-12 \mathrm{~J}\)
2 \(-4 \mathrm{~J}\)
3 \(12 \mathrm{~J}\)
4 \(8 \mathrm{~J}\)
NCERT-I-90
3 RBTS PAPER

162589 A bullet when fired at a target has its velocity decreased to \(50 \%\) after penetrating \(30 \mathrm{~cm}\) into it. Then the additional thickness it will penetrate in \(\mathrm{cm}\) before coming to rest is:

1 \(10 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(60 \mathrm{~cm}\)
NCERT-I- 75
3 RBTS PAPER

162592 A bullet of mass \(m\) and velocity \(v\) passes through \(a\) pendulum of mass \(\mathbf{M}\) and emerges with a velocity \(v / 2\). What is the minimum value of \(v\) such that the pendulum will swing through a complete cycle -

1 \(\frac{M}{m} \sqrt{2 \ell g}\)
2 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{2 \ell \mathrm{g}}\)
3 \(\frac{M}{2 m} \sqrt{5 \ell g}\)
4 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{5 \ell g}\)
NCERT-I- 79
3 RBTS PAPER

162593 A ball is allowed fall from a height of \(h_0\). There are n collisions with the earth. If the velocity of rebound after \(n\) collisions is \(u_n\) and the ball rises to a height of \(h_n\), then coefficient of restitution \(e\) is given by -

1 \(e^n=\sqrt{\frac{h_n}{h_0}}\)
2 \(e^n=\sqrt{\frac{h_0}{h_n}}\)
3 ne \(=\sqrt{\frac{h_n}{h_0}}\)
4 \(\sqrt{n e}=\sqrt{\frac{h_n}{h_0}}\)
NCERT-I- 84
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3 RBTS PAPER

162588 A body constrained to move along the z-axis of a coordinate system is subject to a constant force \(F\) given by
\(F=-\hat{i}+2 \hat{j}+3 \hat{k} N\)
where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) are unit vectors along the \(x-, y\) - and \(z\)-axis of the system respectively. What is the work done by this force in moving the body a distance of \(4 \mathrm{~m}\) along the z-axis?

1 \(-12 \mathrm{~J}\)
2 \(-4 \mathrm{~J}\)
3 \(12 \mathrm{~J}\)
4 \(8 \mathrm{~J}\)
NCERT-I-90
3 RBTS PAPER

162589 A bullet when fired at a target has its velocity decreased to \(50 \%\) after penetrating \(30 \mathrm{~cm}\) into it. Then the additional thickness it will penetrate in \(\mathrm{cm}\) before coming to rest is:

1 \(10 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(60 \mathrm{~cm}\)
NCERT-I- 75
3 RBTS PAPER

162592 A bullet of mass \(m\) and velocity \(v\) passes through \(a\) pendulum of mass \(\mathbf{M}\) and emerges with a velocity \(v / 2\). What is the minimum value of \(v\) such that the pendulum will swing through a complete cycle -

1 \(\frac{M}{m} \sqrt{2 \ell g}\)
2 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{2 \ell \mathrm{g}}\)
3 \(\frac{M}{2 m} \sqrt{5 \ell g}\)
4 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{5 \ell g}\)
NCERT-I- 79
3 RBTS PAPER

162593 A ball is allowed fall from a height of \(h_0\). There are n collisions with the earth. If the velocity of rebound after \(n\) collisions is \(u_n\) and the ball rises to a height of \(h_n\), then coefficient of restitution \(e\) is given by -

1 \(e^n=\sqrt{\frac{h_n}{h_0}}\)
2 \(e^n=\sqrt{\frac{h_0}{h_n}}\)
3 ne \(=\sqrt{\frac{h_n}{h_0}}\)
4 \(\sqrt{n e}=\sqrt{\frac{h_n}{h_0}}\)
NCERT-I- 84
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3 RBTS PAPER

162588 A body constrained to move along the z-axis of a coordinate system is subject to a constant force \(F\) given by
\(F=-\hat{i}+2 \hat{j}+3 \hat{k} N\)
where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) are unit vectors along the \(x-, y\) - and \(z\)-axis of the system respectively. What is the work done by this force in moving the body a distance of \(4 \mathrm{~m}\) along the z-axis?

1 \(-12 \mathrm{~J}\)
2 \(-4 \mathrm{~J}\)
3 \(12 \mathrm{~J}\)
4 \(8 \mathrm{~J}\)
NCERT-I-90
3 RBTS PAPER

162589 A bullet when fired at a target has its velocity decreased to \(50 \%\) after penetrating \(30 \mathrm{~cm}\) into it. Then the additional thickness it will penetrate in \(\mathrm{cm}\) before coming to rest is:

1 \(10 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(60 \mathrm{~cm}\)
NCERT-I- 75
3 RBTS PAPER

162592 A bullet of mass \(m\) and velocity \(v\) passes through \(a\) pendulum of mass \(\mathbf{M}\) and emerges with a velocity \(v / 2\). What is the minimum value of \(v\) such that the pendulum will swing through a complete cycle -

1 \(\frac{M}{m} \sqrt{2 \ell g}\)
2 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{2 \ell \mathrm{g}}\)
3 \(\frac{M}{2 m} \sqrt{5 \ell g}\)
4 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{5 \ell g}\)
NCERT-I- 79
3 RBTS PAPER

162593 A ball is allowed fall from a height of \(h_0\). There are n collisions with the earth. If the velocity of rebound after \(n\) collisions is \(u_n\) and the ball rises to a height of \(h_n\), then coefficient of restitution \(e\) is given by -

1 \(e^n=\sqrt{\frac{h_n}{h_0}}\)
2 \(e^n=\sqrt{\frac{h_0}{h_n}}\)
3 ne \(=\sqrt{\frac{h_n}{h_0}}\)
4 \(\sqrt{n e}=\sqrt{\frac{h_n}{h_0}}\)
NCERT-I- 84
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3 RBTS PAPER

162588 A body constrained to move along the z-axis of a coordinate system is subject to a constant force \(F\) given by
\(F=-\hat{i}+2 \hat{j}+3 \hat{k} N\)
where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) are unit vectors along the \(x-, y\) - and \(z\)-axis of the system respectively. What is the work done by this force in moving the body a distance of \(4 \mathrm{~m}\) along the z-axis?

1 \(-12 \mathrm{~J}\)
2 \(-4 \mathrm{~J}\)
3 \(12 \mathrm{~J}\)
4 \(8 \mathrm{~J}\)
NCERT-I-90
3 RBTS PAPER

162589 A bullet when fired at a target has its velocity decreased to \(50 \%\) after penetrating \(30 \mathrm{~cm}\) into it. Then the additional thickness it will penetrate in \(\mathrm{cm}\) before coming to rest is:

1 \(10 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(60 \mathrm{~cm}\)
NCERT-I- 75
3 RBTS PAPER

162592 A bullet of mass \(m\) and velocity \(v\) passes through \(a\) pendulum of mass \(\mathbf{M}\) and emerges with a velocity \(v / 2\). What is the minimum value of \(v\) such that the pendulum will swing through a complete cycle -

1 \(\frac{M}{m} \sqrt{2 \ell g}\)
2 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{2 \ell \mathrm{g}}\)
3 \(\frac{M}{2 m} \sqrt{5 \ell g}\)
4 \(\frac{2 \mathrm{M}}{\mathrm{m}} \sqrt{5 \ell g}\)
NCERT-I- 79
3 RBTS PAPER

162593 A ball is allowed fall from a height of \(h_0\). There are n collisions with the earth. If the velocity of rebound after \(n\) collisions is \(u_n\) and the ball rises to a height of \(h_n\), then coefficient of restitution \(e\) is given by -

1 \(e^n=\sqrt{\frac{h_n}{h_0}}\)
2 \(e^n=\sqrt{\frac{h_0}{h_n}}\)
3 ne \(=\sqrt{\frac{h_n}{h_0}}\)
4 \(\sqrt{n e}=\sqrt{\frac{h_n}{h_0}}\)
NCERT-I- 84
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