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### IIT JEE Sample Questions
#### Physics:
1. A block of mass 5 kg is placed on a frictionless surface. A force of 20 N is applied horizontally. What will be the acceleration of the block?
(a) 2 m/s²
(b) 4 m/s²
(c) 5 m/s²
(d) 6 m/s²
Answer: (b) 4 m/s²
Explanation: \( F = ma \) ⇒ \( 20 = 5a \) ⇒ \( a = 4 \, \text{m/s}^2 \).
#### Chemistry:
2. Which of the following compounds does not exhibit hydrogen bonding?
(a) H₂O
(b) NH₃
(c) CH₃OH
(d) CH₄
Answer: (d) CH₄
Explanation: CH₄ has no highly electronegative atom to form hydrogen bonds.
#### Mathematics:
3. The derivative of \( f(x) = x^2 e^x \) is:
(a) \( e^x (x^2 + 2x) \)
(b) \( e^x (x^2 - x) \)
(c) \( e^x (x^2 + x) \)
(d) \( e^x (x^2 - 2x) \)
Answer: (a) \( e^x (x^2 + 2x) \)
Explanation: Apply the product rule: \( f'(x) = (x^2)' e^x + x^2 (e^x)' \).
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### **NEET Sample Questions*
#### Chemistry:
1. The IUPAC name of CH₃-CH(OH)-COOH is:
(a) Lactic acid
(b) 2-Hydroxypropanoic acid
(c) Propanoic acid
(d) Hydroxyethanoic acid
Answer: (b) 2-Hydroxypropanoic acid
Explanation: It contains a hydroxyl group (-OH) and a carboxylic acid group (-COOH).
#### Biology:
3. What is the functional unit of a kidney?
(a) Neuron
(b) Alveoli
(c) Nephron
(d) Glomerulus
Answer: (c) Nephron
Explanation: The nephron is responsible for the filtration and reabsorption in the kidney.
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### IIT JEE Sample Questions
#### Physics:
1. A block of mass 5 kg is placed on a frictionless surface. A force of 20 N is applied horizontally. What will be the acceleration of the block?
(a) 2 m/s²
(b) 4 m/s²
(c) 5 m/s²
(d) 6 m/s²
Answer: (b) 4 m/s²
Explanation: \( F = ma \) ⇒ \( 20 = 5a \) ⇒ \( a = 4 \, \text{m/s}^2 \).
#### Chemistry:
2. Which of the following compounds does not exhibit hydrogen bonding?
(a) H₂O
(b) NH₃
(c) CH₃OH
(d) CH₄
Answer: (d) CH₄
Explanation: CH₄ has no highly electronegative atom to form hydrogen bonds.
#### Mathematics:
3. The derivative of \( f(x) = x^2 e^x \) is:
(a) \( e^x (x^2 + 2x) \)
(b) \( e^x (x^2 - x) \)
(c) \( e^x (x^2 + x) \)
(d) \( e^x (x^2 - 2x) \)
Answer: (a) \( e^x (x^2 + 2x) \)
Explanation: Apply the product rule: \( f'(x) = (x^2)' e^x + x^2 (e^x)' \).
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### **NEET Sample Questions*
#### Chemistry:
1. The IUPAC name of CH₃-CH(OH)-COOH is:
(a) Lactic acid
(b) 2-Hydroxypropanoic acid
(c) Propanoic acid
(d) Hydroxyethanoic acid
Answer: (b) 2-Hydroxypropanoic acid
Explanation: It contains a hydroxyl group (-OH) and a carboxylic acid group (-COOH).
#### Biology:
3. What is the functional unit of a kidney?
(a) Neuron
(b) Alveoli
(c) Nephron
(d) Glomerulus
Answer: (c) Nephron
Explanation: The nephron is responsible for the filtration and reabsorption in the kidney.
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