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Questions and Answers
What is the incorrect graph representation of the same motion?
What is the incorrect graph representation of the same motion?
What is the distance traveled by a particle in time t, if its acceleration is increasing linearly with time t as bt, and it starts from the origin with an initial velocity v0?
What is the distance traveled by a particle in time t, if its acceleration is increasing linearly with time t as bt, and it starts from the origin with an initial velocity v0?
What is the distance covered by a ball thrown vertically upwards with speed u, during the last t seconds of its ascent?
What is the distance covered by a ball thrown vertically upwards with speed u, during the last t seconds of its ascent?
What is the maximum velocity acquired by a car that accelerates from rest at a constant rate α for some time, and then decelerates at a constant rate β, and comes to rest in time t?
What is the maximum velocity acquired by a car that accelerates from rest at a constant rate α for some time, and then decelerates at a constant rate β, and comes to rest in time t?
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What is the resultant of two forces, each equal to F, acting as shown in Figure?
What is the resultant of two forces, each equal to F, acting as shown in Figure?
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What is the maximum height attained by a rocket, if its velocity variation with time is as shown in Figure?
What is the maximum height attained by a rocket, if its velocity variation with time is as shown in Figure?
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What is the reciprocal of the value of $2^3$?
What is the reciprocal of the value of $2^3$?
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What is the dimensional formula of heat energy?
What is the dimensional formula of heat energy?
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What is the solution set of the inequality $2x^2 - 5|x| + 2 < 0$?
What is the solution set of the inequality $2x^2 - 5|x| + 2 < 0$?
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If x, |x + 1|, |x - 1| are three terms of an arithmetic progression, then how many possible values of x are there?
If x, |x + 1|, |x - 1| are three terms of an arithmetic progression, then how many possible values of x are there?
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What are the dimensions of the universal gravitational constant?
What are the dimensions of the universal gravitational constant?
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What is the solution set of the inequalities |x - 1| ≤ 5 and |x| ≥ 2?
What is the solution set of the inequalities |x - 1| ≤ 5 and |x| ≥ 2?
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What are the dimensions of v0 and a in the equation x = v0 (1 - e^(-at))?
What are the dimensions of v0 and a in the equation x = v0 (1 - e^(-at))?
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What is the percentage error in the estimation of g, if the maximum percentage errors in the measurement of distance and time are e1 and e2 respectively?
What is the percentage error in the estimation of g, if the maximum percentage errors in the measurement of distance and time are e1 and e2 respectively?
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If (2x - 1) > 0, then what is the range of values for x?
If (2x - 1) > 0, then what is the range of values for x?
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What is the maximum error in the estimation of kinetic energy, if the percentage errors in the measurement of mass and speed are 2% and 3% respectively?
What is the maximum error in the estimation of kinetic energy, if the percentage errors in the measurement of mass and speed are 2% and 3% respectively?
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What is the least positive integer that satisfies the inequality 2(x - 4) ≥ (x - 1)(x - 7)?
What is the least positive integer that satisfies the inequality 2(x - 4) ≥ (x - 1)(x - 7)?
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What is the physical quantity that is related to the pressure difference between the two ends of a tube of length l and radius r, through which turpentine oil is flowing?
What is the physical quantity that is related to the pressure difference between the two ends of a tube of length l and radius r, through which turpentine oil is flowing?
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What is the volume occupied by one gram of a gas at STP if its vapour density is 11.2?
What is the volume occupied by one gram of a gas at STP if its vapour density is 11.2?
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If 50 atoms of carbon react with 200 molecules of oxygen, what is the correct statement?
If 50 atoms of carbon react with 200 molecules of oxygen, what is the correct statement?
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A solution is prepared by adding 2g of substance A to 18g of water. What is the mass percent of the solute?
A solution is prepared by adding 2g of substance A to 18g of water. What is the mass percent of the solute?
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What is the number of moles of nitrogen atoms present in 112g of N2?
What is the number of moles of nitrogen atoms present in 112g of N2?
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What is the empirical formula of a hydrocarbon that contains 91.3% carbon by mass?
What is the empirical formula of a hydrocarbon that contains 91.3% carbon by mass?
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How many mL of 10 M HCl and 3 M HCl should be mixed to get 1 L of 6 M HCl solution?
How many mL of 10 M HCl and 3 M HCl should be mixed to get 1 L of 6 M HCl solution?
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What is the value of $2^2 \log_7 2 + \log_7 11$?
What is the value of $2^2 \log_7 2 + \log_7 11$?
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If $x^2 + 4y^2 + z^2 - 2xy - 2yz - zx = 0$, then what is the ratio of $x:y:z$?
If $x^2 + 4y^2 + z^2 - 2xy - 2yz - zx = 0$, then what is the ratio of $x:y:z$?
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If $\alpha$ is the smallest and $\beta$ is the largest integral solution of $x + 1 \leq x + 3x - 4(x + 5)$, then what is $\alpha + \beta$?
If $\alpha$ is the smallest and $\beta$ is the largest integral solution of $x + 1 \leq x + 3x - 4(x + 5)$, then what is $\alpha + \beta$?
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What is the value of $49(1 - \log_7 2) + 5 - \log_5 4$?
What is the value of $49(1 - \log_7 2) + 5 - \log_5 4$?
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What is the complete solution set of the inequality $3x^2 + 5x + 7 - 3x^2 + 5x + 2 > 1$?
What is the complete solution set of the inequality $3x^2 + 5x + 7 - 3x^2 + 5x + 2 > 1$?
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What is the value of $a + b + c + d$, where $3a = 4, 4b = 5, 5c = 6, 6d = 7, 7e = 8, 8f = 9$?
What is the value of $a + b + c + d$, where $3a = 4, 4b = 5, 5c = 6, 6d = 7, 7e = 8, 8f = 9$?
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Study Notes
Motion
- The acceleration of a particle is increasing linearly with time t as bt.
- The particle starts from the origin with an initial velocity v0.
- The distance traveled by the particle in time t will be:
- v0t + bt^2/2
- The distance traveled by a particle starting from rest and moving with an acceleration ms^-2, in the third second is 4m
- If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is:
- ut - gt^2/2
Forces
- Two forces, each equal to F, act in a particular direction.
- Their resultant is:
- F
- √(F^2 + F^2) = √2F
- A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β and comes to rest.
- If the total time elapsed is t, then the maximum velocity acquired by the car will be:
- (αβt)/(α + β)
Graphs
- The graph shows the variation of velocity of a rocket with time.
- The maximum height attained by the rocket is:
- 1.1 km
- 5 km
- 55 km
- None of these
Algebra
- The reciprocal of the value of 2^3 is:
- 3
- 4
- 5
- 6
- The complete solution set of the inequation 2x^2 - 5|x| + 2 < 0, is:
- (-2, 2)
- [-2, -1] ∪ [1, 2]
- (-∞, -2] ∪ [2, ∞)
- If x, |x + 1|, |x - 1| are three terms of an A.P., then the number of possible values of x is equal to:
- 0
- 1
- 2
- 3
- Solution set of inequations |x - 1| ≤ 5, |x| ≥ 2 is:
- [-4, 6]
- (-∞, -2] ∪ [2, ∞)
- (-∞, -2] ∪ [2, 6]
- [4, 6]
Physics
- Dimensional formula of heat energy is:
- ML^2T^-2
- The dimensions of v0 and a are:
- M^0L^1T^-1 and T^-1
- M^0L^1T^0 and T^-1
- M^0L^1T^-1 and LT^-2
- M^0L^1T^-1 and T^1
- If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is:
- e1 + e2
- e1 - e2
- e1 + 2e2
- 2e1 - e2
Chemistry
- The value of x in the formula (CO)x is:
- 1
- 2
- 3
- 4
- To neutralize 20 mL of M/10 NaOH, the volume (in mL) of M/20 HCl needed is:
- 40
- 50
- 60
- 80
- The molarity of 5.85 g of NaCl dissolved in H2O and solution made up to 500 mL is:
- 0.1 M
- 0.2 M
- 0.3 M
- 0.5 M
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Description
Practice your Physics skills with this multiple choice quiz, covering topics such as dimensional formulas, heat energy, and particle motion. Test your understanding of these fundamental concepts and get ready for your exams!
